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Security-oriented sliding mode control design for interconnected PDE systems with input delay: A finite-time extended dissipative approach Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-14 M. Ridhan Kumar, V.T. Elayabharath, R. Sakthivel, V. Panneerselvam
This research scrutinizes the issue of finite-time extended dissipativity-based sliding mode control design for large-scale interconnected partial differential equation (PDE) systems under the influence of external disturbances, input time-varying delays and cyber-attacks. In particular, the interconnection among the large-scale PDEs is governed by a nonlinear coupling protocol. Primarily, to prioritize
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Corrigendum to “Sharkovskii theorem for infinite dimensional dynamical systems” [Communications in Nonlinear Science and Numerical Simulation 146 (2025) 108770] Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-13 Anna Gierzkiewicz, Robert Szczelina
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Transition pathways for a class of degenerate stochastic dynamical systems with Lévy noise Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-13 Ying Chao, Pingyuan Wei
This work is devoted to deriving the Onsager–Machlup function for a class of degenerate stochastic dynamical systems with (non-Gaussian) Lévy noise as well as Brownian noise. This is obtained based on the Girsanov transformation and then by a path representation. Moreover, this Onsager–Machlup function may be regarded as a Lagrangian giving the most probable transition pathways. The Hamilton–Pontryagin
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An [formula omitted] fuzzy control criterion with variable convergence rate for T-S fuzzy impulsive dynamical systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-13 Changan Shao, Huasheng Zhang, Tinglin Zhang, Chenglong Zhu, Zhimin Liu
In this paper, a novel H∞ fuzzy control criterion with variable convergence rate is proposed for T-S fuzzy impulsive dynamical systems (T-SFIDSs). Unlike the traditional H∞ fuzzy control criterion, the criterion introduced in this paper not only ensures the stability and a certain degree of immunity of the system, but also controls the convergence rate of the system states. Firstly, the concept of
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Hypergraph dismantling with spectral clustering Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-13 Ruonan Feng, Qiao Ke, Li She, Xiangjie Kong, Chuang Liu, Xiu-Xiu Zhan
Hypergraph dismantling aims to identify the smallest set of nodes whose removal disrupts the hypergraph, breaking it into subextensive connected components. However, many existing dismantling approaches either overlook higher-order interactions commonly present in real-world systems or give limited consideration to the role of community structures in the dismantling process. To address these limitations
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Robust fault detection and isolation for Markov jump nonlinear systems with time delays and uncertain transition probabilities: A geometric approach Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-13 Yandong Hou, Zhiheng Zhang, Lei Shi, Zhengquan Chen, Xiaodong Zhai, Fujun Wang
This paper proposes a new geometric fault detection and isolation (FDI) strategy for Markov jump nonlinear systems with uncertain transition probabilities and mode-dependent time-varying delays. Firstly, the unobservability subspace is defined for each mode of Markov jump nonlinear system, and further constructed by designing the finite-step convergence algorithm. Secondly, utilizing the geometric
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Application of fractional derivatives in modeling the heat flow in the thermal protection system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Rafał Brociek, Edyta Hetmaniok, Damian Słota
This work focuses on the development of a mathematical model of the thermal protection system, in which the fractional Caputo derivative is used for the first time in one of the layers of the model. So far, no studies have been identified that consider a model of this kind. The introduction of fractional derivatives is justified by the porous structure of the considered layer because in this type of
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New exploration on approximate controllability for nonlinear hemivariational inequalities with non instantaneous impulses Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Jyoti, Ramesh Kumar Vats, Vandana Yadav, Ankit Kumar
This manuscript explores the approximate controllability of first order nonlinear hemivariational inequalities with non instantaneous impulses in a real Hilbert space. The proposed problem formulates a practical scenario by considering systems with non smooth and non convex behavior, while also incorporating the non instantaneous nature of impulses. To effectively model these dynamics, space of piecewise
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A Brinkman–triple–porosity–permeability model and its discontinuous Galerkin methods Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Rui Li, Ying Zhang, Zhangxin Chen
In this paper, we propose and solve a novel Brinkman–triple–porosity–permeability model to describe fluid flow between filled conduits, matrix, micro-caves, and micro-fractures. The flow in triple-porosity media, consisting of three porosity types as matrix, micro-caves, and micro-fractures, is described by a fully coupled triple-porosity model, which removes the stated assumptions of sequential flow
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Coexistence of chaos, stability and bifurcation in a generalized Cohen-Grossberg neural network Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Lianjie Song, Wei Liang, Yongjun Zhang, Xuanxuan Zhang
This paper is mainly concerned with chaos, stability and bifurcation of a generalized Cohen-Grossberg neural network with two delays or one delay or without any delays.The network is proved to be chaotic in the sense of Li-Yorke by applying the snap-back repeller theory if it has one or two delays, and it is chaotic in the sense of Li-Yorke by using the coupled-expanding theory if the network has not
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Stochastic bipartite synchrony under signed co-opetition CADNNs: A [formula omitted]th moment fixed-time pinning control strategy Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Lili Zhou, Jingjing Li, Fei Tan, Zhen Wang, Guangming Zhuang
This paper investigates fixed-time bipartite synchronization of signed co-opetition coupled artificial delayed neural networks (CADNNs) under stochastic disturbances and time delays. To improve the quality of output signals, pth moment is considered into the research for stability synchrony of the signed co-opetition CADNNs. To reduce control costs and mitigate chattering during the bipartite synchronization
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DTSRL: Efficient reinforcement learning for approximate optimal tracking control of discrete-time nonlinear systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Hao Fu, Shuai Zhou, Wei Liu
The optimal tracking control for unknown nonlinear systems via reinforcement learning (RL) is still an open problem in the absence of an initial stabilizing policy. Its fundamental challenge lies in improving poor learning efficiency, arising from an additional switching term. In view of such a difficulty, this paper proposes a dual-time-scale RL (DTSRL) algorithm by devising an alternate learning
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Region bounded observer design for T-S fuzzy systems with nonlinear perturbations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 R. Elavarasi, G. Nagamani
This paper presents a novel region bounded observer designed for nonlinear systems modeled using Takagi–Sugeno (T-S) fuzzy frameworks. The proposed observer effectively estimates both the lower and upper bounds of the actual system dynamics even by taking external disturbances and measurement noise into account. To ensure both the non-negativity and Metzler properties, a membership-dependent Lyapunov–Krasovskii
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Quasi synchronization for switched dynamic networks under unknown deception attacks: An attack-independent method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Zhilu Xu, Xinsong Yang, Gaoxi Xiao, Xiaodi Li
This paper addresses the quasi synchronization problem for switched dynamic networks under unknown deception attacks. It is assumed that both the false information and the attack frequency of the deception attacks are unknown a priori. To tackle this, an attack-independent synchronization control method that consists of a stabilizing switching law and an event-triggered distributed control input is
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An improved model for time-varying mesh stiffness of straight bevel gears with a real cross-section using the potential energy method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-12 Jintao Li, Zhaobo Chen, Hancheng Mao, Liang Ye, CHIZHIK SERGEI, Wenrui Jiang, Guangbin Yu
The vibration of a gear system caused by mesh stiffness is generally recognized as one of the main sources of self-excited vibration of the system. Therefore, accurate calculation of the stiffness is extremely important for the study of the dynamics of the gear system. However, the parameters that calculate time-varying mesh stiffness (TVMS) calculation of straight bevel gears using potential energy
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Region-reaching control for multiple underactuated Euler–Lagrange systems based on energy-shaping framework Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Bin Zheng, Jinchen Ji, Runlong Peng, Zhonghua Miao, Jin Zhou
This paper presents a first attempt to address the distributed region-reaching control problems of multiple underactuated Euler–Lagrange systems (MUELSs) within an energy-shaping framework. An adaptive gain technique incorporating the region potential function is suitably introduced to design a distributed region-reaching control scheme by the best use of the passivity-based control (PBC) framework
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Non-monotonic prescribed performance specifications in tracking control of input-limited nonlinear systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Yaming Zheng, Yu Xia
Most existing prescribed performance boundaries are designed to be strictly monotonically decreasing, which may not always be advantageous. When control input fail to meet the prescribed performance requirements, strict monotonicity can lead to constraint failure and singularity problem. This paper proposes novel non-monotonic prescribed performance specifications for tracking control of input-limited
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Distributed region tracking formation control for multiple redundant robot manipulator systems: A potential energy approach Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Jinwei Yu, Zhiyi Zhang
In this research, we tackle the challenge of coordinating a group of redundant robot manipulator systems, each governed by Lagrangian dynamics. The goal is to maintain a stable formation within a specified dynamic region while avoiding kinematic singularities. The key feature of the designed control algorithm is the proposal of a fully distributed controller. This controller utilizes two distributed
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Finite-time attractiveness and stability of stochastic systems with Markovian switching Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Xuejun Shi, Quanxin Zhu, Xiaodi Li
This paper investigated the finite-time attractivity and stability of an hybrid stochastic system with Markovian switching. Drawing upon the principles of stochastic processes and stochastic analysis, and employing multiple Lyapunov functions, we derived a more readily verifiablecondition that is sufficient for ensuring the finite-time attractivity and stability of such systems. In particular, this
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Active attack compensator control for Takagi–Sugeno fuzzy chaotic Markovian jump systems with cyber attacks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Rakan A. Alsowail
The prime focus of this study is to explore the attack reconstruction and attack-compensator-based nonfragile control issues of the Takagi–Sugeno fuzzy chaotic Markovian jump systems in the midst of cyber attacks, gain fluctuations and external disturbances. Firstly, an intermediate variable is framed, which serves as the basis for the construction of an intermediate observer that concurrently estimates
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Fixed-time synchronization of nonlinear coupling MNNs with time delay via aperiodically intermittent sliding mode control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Qunsheng Zhang, Jianqiang Hu, Jinde Cao
This paper delves into the fixed-time synchronization (FxTS) issue for nonlinear coupling memristive neural networks (MNNs) through aperiodicallyally intermittent sliding mode control (SMC), with a particular focus on the fixed-time external synchronization of two nonlinearly coupling systems that incorporate time delays. Differential inequalities, crafted to apply aperiodically intermittent SMC, couple
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Advantages of vibro-impact nonlinear energy sinks for vibration suppression of continuous systems: Coexistence of inter-modal energy scattering and targeted energy transfer Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Bo Zhang, Zhiyong Zhang, Jun Jiang, Yonghe Zhang, Bincheng Li, Haiqin Li, Hao Xian
Nonlinear energy sink (NES) is a lightweight nonlinear device that is attached to a primary system for passive energy localization into itself. In this paper, the energy transfer mechanism of the vibro-impact nonlinear energy sink (VI-NES) in continuous systems, and its consequences in vibration suppression is addressed. We uncovered the significance of a new distinctive energy transfer phenomenon
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Fixed-time synchronization of spatiotemporal Cohen-Grossberg neural networks via aperiodic intermittent control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Aminamuhan Abudireman, Abdujelil Abdurahman, Haijun Jiang
This paper investigates the fixed-time (FXT) synchronization issue of spatiotemporal Cohen-Grossberg neural networks (CGNNs) via aperiodic intermittent control (AIC). First, a new FXT stability criterion is established by using comparison principle, proof by contradiction and variable transformation methods, and a more accurate settling time (ST) is obtained through optimal value theorem, which is
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Accelerated projection methods for quasimonotone bilevel variational inequality problems with applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Meiying Wang, Hongwei Liu, Jun Yang, Xinyi Wei
In this paper, we propose two novel alternated multi-step inertial projection algorithms with self-adaptive step sizes. These algorithms are employed to solve the quasimonotone bilevel variational inequality problem (QBVIP, where VIP denotes a variational inequality problem) with a variational inclusion constraint in a real Hilbert space, where the QBVIP involves a strongly monotone mapping at the
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Bio-inspired tridirectional energy harvesting system for efficient ultralow-frequency self-powered monitoring Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Mohamed A.A. Abdelkareem, Yatsze Choy, Yingqing Guo, Xingjian Jing
Achieving high-performance, broadband, and multidirectional energy harvesting from ultralow-frequency vibrations presents significant challenges and remains a key research focus. This study introduces a bio-inspired 3D nonlinear limb-like mechanism that utilizes clamped bending-type piezoelectric beams to capture energy from vertical, horizontal, and in-plane rotational vibrations. Two configurations
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A novel prescribed-time ZNN for solving time-varying complex Sylvester equation and application to pseudo-inverse Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Peng Miao, Huihui Huang
This paper innovatively designs a novel prescribed-time zeroing neural network (ZNN) model to solve the time-varying complex Sylvester (TVCS) equation, with its implementation embedded within the context of the pseudo-inverse of a matrix. By incorporating a trigonometric function term into the activation function, the proposed prescribed-time ZNN model is capable of achieving zero convergence within
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Intermittent adaptive dynamic event-triggered control for exponential synchronization of multi-links time-delayed stochastic complex networks with Markovian switching Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Yanfeng Zhao, Lixia Sun, Lili Chen, Zhen Wang
This paper focuses on the issue of the exponential synchronization in mean square (ESMS) of the multi-links time-delayed stochastic complex networks with Markovian switching (MTSCNM) through a novel intermittent adaptive dynamic event-triggered control (IADE-TC). First of all, the parameters within the event-triggered condition of the IADE-TC mechanism are associated with the adaptive strength, signifying
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Ultra-local model-based prescribed-time hybrid force/position control for 3-DOF series elastic actuator-based manipulator under input and output constraints Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Yangchun Wei, Haoping Wang, Yang Tian
In this work, an ultra-local model-based prescribed-time hybrid force/position controller (UPTHC) is proposed for a 3-DOF series elastic actuator-based manipulator (SEAM) under input and output constraints. The UPTHC features a dual-loop structure, integrating force and position sub-control loops. By using the idea of admittance control, the force loop converts the interactive force control into position
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Stochastic dynamics of truth-rumor model incorporating age-related control and time-varying stopping rate under dual media interventions on heterogeneous social networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Xinru Tong, Haijun Jiang, Xiaoqiao Xiong, Jianlong Qiu, Shuzhen Yu, Jiarong Li
This article explores the dynamics of rumor propagation on heterogeneous social networks, focusing on the evolution of rumor spread in the presence of dual media intervention. A novel stochastic model incorporating class-age structure, truth dissemination and time-varying stopping rate is proposed. Initially, a coupled deterministic system of ordinary and partial differential equations is developed
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Finite-time and fixed-time flocking of a Cucker–Smale system with nonlinear velocity couplings and intermittent control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-11 Jianlong Ren, Qiming Liu, Shihua Zhang
In this paper, we propose a modified Cucker–Smale system with nonlinear velocity couplings and intermittent control. Firstly, a novel lemma for finite-time and fixed-time stability has been formulated, applicable to systems with right-side discontinuities, with conditions that are more general and flexible compared to those in previous studies. Secondly, by imposing assumptions on the initial state
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Optimal damping factors explored for eliminating nonphysical attraction forces from viscous contact models used in cohesionless granular system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-10 Gengxiang Wang, Wanxun Jia, Zepeng Niu, Yongjun Pan, Fuan Cheng
Since the nonphysical attraction force near the end of the recovery phase seriously distorts the impact behavior in the granular system, this investigation aims to develop three strategies to eliminate the nonphysical attraction force to improve the deficiency of the viscous contact force models. The optimization principle for removing the nonphysical attraction force of the viscous damping factor
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Numerical integrations of stochastic contact Hamiltonian systems via stochastic contact Hamilton–Jacobi equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-10 Qingyi Zhan, Jinqiao Duan, Lijin Wang
Stochastic contact Hamiltonian systems are an important class of mathematical models, which can describe the dissipative properties with odd dimensions in random scenario. In this article, we investigate the dynamics of the systems via structure-preserving numerical methods. The contact structure-preserving schemes are constructed by the stochastic contact Hamilton–Jacobi equation. A general numerical
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Adaptive secure control for connected nonlinear servo systems with constraints through observer Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-09 Yimeng Su, Meng Li, Yong Chen
In this paper, the problem of adaptive secure control of a nonlinear servo system subject to state constraints, disturbance and denial-of-service (DoS) attacks is studied. An adaptive backstepping control scheme is developed. Firstly, a model of connected servo motors suffer from state constraints and disturbance is established. Then, in order to estimate the prior knowledge of the disturbance, a disturbance
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KAM tori for a nonlinear beam equation with an almost periodic potential based on the space variable Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-09 Sixue Zhu, Jie Rui
In this paper, we study a nonlinear beam equation subject to an almost periodic forced term, which is analytic on t and x. Under appropriate assumptions on the perturbation, we show the existence of almost periodic solutions of such an equation and present a more precise analytical solution. The proof is based on the partial normal form and infinite-dimensional KAM (Kolmogorov–Arnold–Moser) theory
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Dynamical impact of virus carrier screening and actively seeking treatment on a stochastic HIV/AIDS infection model with log-normal Ornstein–Uhlenbeck process Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-09 Shengnan Jiang, Wenjie Zuo, Daqing Jiang
A stochastic HIV/AIDS model with a log-normal Ornstein–Uhlenbeck process is investigated, which incorporates screened disease carriers and active treatment. First, the global asymptotic stability of endemic equilibrium of the corresponding deterministic system is obtained when R0>1. Second, the existence of stationary distribution is examined by constructing a suitable Lyapunov function, which determines
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On a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and its applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-09 Mohammed Al-Refai, Mohammadkheer Al-Jararha, Yuri Luchko
In this paper, for the first time, we formulate and prove a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and with variable coefficients. Most of the Gronwall-type inequalities for the Fractional Calculus operators introduced in the literature so far are particular cases of this inequality. In the second part of the paper, the Gronwall-type inequality for the
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Analysis and discretization of nonlinear generalized fractional stochastic differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-09 Jie Ma, Xu Guo, Hong Wang, Zhiwei Yang
This paper investigates the well-posedness and numerical approximation of a nonlinear generalized fractional stochastic differential equation driven by multiplicative white noise. The proposed model generalizes conventional Caputo-type fractional stochastic systems by incorporating a kernel function ζ(t), which enables flexible characterization of memory effects and nonlocal interactions in complex
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Strongly convergent two-step inertial subgradient extragradient methods for solving quasi-monotone variational inequalities with applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-09 Pongsakorn Sunthrayuth, Abubakar Adamu, Kanikar Muangchoo, Sakulbuth Ekvittayaniphon
In this paper, we introduce two modified subgradient extragradient methods with two-inertial steps based on Halpern-type and Mann-type iterations for approximating solutions of variational inequalities involving quasi-monotone operators in real Hilbert spaces. The step-size of our proposed algorithms are designed to select self-adaptively without requiring the knowledge of the Lipschitz constant of
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Fractional order induced bifurcations in Caputo-type denatured Morris–Lecar neurons Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-07 Indranil Ghosh, Hammed Olawale Fatoyinbo
We set up a system of Caputo-type fractional differential equations for a reduced neuron model known as the denatured Morris–Lecar (dML) system. This neuron model has a structural similarity to a FitzHugh–Nagumo type system. We explore both a single-cell isolated neuron and a two-coupled dimer that can have two different coupling strategies. The main purpose of this study is to report various oscillatory
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Lump chains in the BKP equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-06 Shoufeng Shen, Han-Han Sheng, Guo-Fu Yu, Kai Zhou
In this paper, we investigate a broad class of solutions of the B-type Kadomtseve-Petviashvili (BKP) equation by utilizing the Pfaffian τ-function. The fundamental solution is a linear periodic chain of lumps moving at separate group and wave velocities. We construct general linear arrangements for the BKP equation and give degenerate configurations such as parallel and superimposed lump chains. The
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The second order variable time step, decoupled, linearized and unconditional stable numerical scheme for the Boussinesq equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-06 Tong Zhang, Lele Chen, Chuanxiang Sheng
This paper considers the second order variable time-step DLN algorithm for the time-dependent Boussinesq equations. The considered numerical scheme maintains the following features: second order, decoupling, linearization and unconditional stability. In order to achieve the above mentioned merits, the semi-implicit scheme is adopted to treat the nonlinear terms, the stability results of numerical scheme
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Global exponential input-to-state stability analysis of nonlinear systems with mixed time delays Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-05 Jinbao Lan, Chunyan Liu, Xin Wang
This research introduces a novel approach to analyze global exponential input-to-state stability for a category of nonlinear systems affected simultaneously by both unbounded distributed delays and time-varying neutral and transmission delays. The new method avoids constructing Lyapunov–Krasovskii generalized functionals. We verify the validity of the obtained results with two numerical examples. Notably
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On the programming of cubic acoustic resonator with periodic time-dependent coefficient Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-05 Maxime Morell, Aurélie Labetoulle, Emmanuel Gourdon, Emanuele De Bono, Manuel Collet, Alireza Ture Savadkoohi
In this article, we investigate an electroacoustic resonator with a programmed cubic nonlinearity with constant and time-dependent coefficients. We design an experiment coupling an acoustic mode of a tube with a digitally programmable nonlinear resonator. Both simulations and experiments are carried out to compare optimized points for the resonator with programmed cubic nonlinearity with constant and
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KAM theorems for nonlinear higher dimensional Schrödinger equation systems in three different ways Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-04 Ningning Chang, Yingnan Sun
We prove an abstract KAM (Kolmogorov–Arnold–Moser) theorem constructed by Zhou (2017) in different ways and apply it to the nonlinear Schrödinger equation systems with real Fourier Multiplier. We prove the existence of a class of Whitney smooth small amplitude quasi-periodic solutions for more types of equation systems.
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Non-Lie non-classical symmetry solutions of a class of nonlinear reaction–diffusion equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-04 David Plenty, Maureen P. Edwards
Nonlinear one-dimensional reaction–diffusion equations are useful for modeling processes in science and engineering. Non-classical symmetry analysis with a vanishing coefficient of ∂∂t is applied to search for non-Lie solutions of a class of nonlinear reaction–diffusion equations. The analysis leads to two non-classical symmetries. Each symmetry gives a solution that cannot be constructed using classical
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Event-based uniform prescribed-time output feedback control for irregular output-constrained nonlinear systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-04 Yangang Yao, Yu Kang, Yunbo Zhao, Jieqing Tan, Lichuan Gu, Chao Wang
This paper proposes an event-based uniform prescribed-time output feedback control (PTOFC) approach for irregular output-constrained nonlinear systems (OCNSs). Unlike the most existing methods of OCNSs, they mainly focus on OCNSs with infinite-time/deferred output constraints (i.e., the output constraints existing for all t≥0 or t≥t0), while many actual systems often suffer from irregular output constraints
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Bifurcation dynamics of a predator–prey model with impulsive density-dependent nonlinear pesticide spraying and predator release Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-04 Zeli Zhou, Qi Quan, Jianjun Jiao, Xiangjun Dai
In this study, we propose a predator–prey model incorporating impulsive density-dependent nonlinear pesticide spraying and the release of predators (natural enemy of the pest) at different fixed moments. The pest extinction semi-trivial periodic solution is derived. Further, global asymptotic stability of the obtained periodic solution and the permanence of the studied model are acquired. Depending
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A linearized conservative compact scheme based on the double reduction order method for the Rosenau–Burgers equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-04 Sitong Dong, Yiran Zhang, Yuanfeng Jin
In this paper, we propose a three-level linearized difference scheme to solve the Rosenau–Burgers equation based on the double reduction order method and the fourth-order compact operator under the spatial periodic boundary conditions. We discuss the conservation law, solvability, and convergence for this difference scheme. The proposed scheme has second-order temporal and fourth-order spatial convergence
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Node center identification in complex networks based on Jensen–Shannon divergence Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-03 Bowen Han, Guochen Feng, Pengjian Shang
The evaluation of node centrality remains a critical challenge in the field of complex network research. This paper proposes a novel method, the JSD method, which integrates local and global information to measure node centrality. The method employs Shannon entropy to quantify local centrality and Jensen–Shannon (JS) divergence to compute inter-community distances, thereby assessing topological differences
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Distributed fault detection for a class of network systems: Optimal unknown input observer design Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-03 Ya-Jun Tang, Xiao-Jian Li
This paper is concerned with the fault detection problem for a class of network systems composed of multiple clusters with unknown system matrices. Each cluster consists of multiple subsystems and the connections between clusters are unmeasurable. For these unmeasurable connections in network systems, traditional system identification and fault detection methods may be difficult to be directly applied
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Hyperbolic structure for multiplicative noise saddle using Lagrangian descriptors Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-02 Huan Liao, Jiaopeng Yang
This paper proposes a new concept, continuous stochastic Lagrangian descriptor, to discern the hyperbolic structure for multiplicative noise saddle and beyond. The multiplicative noise saddle is proved to entail a random fixed point with exponential dichotomy. Analogous to the additive noise case, the hyperbolic structures, composed of the random fixed point together with its stable and unstable manifolds
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Hidden memory chaotic attractors in simple nonequilibrium fractional order systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-02 Bichitra Kumar Lenka, Ranjit Kumar Upadhyay
A computational bifurcation diagram of nonlinear fractional order systems may provide a visual representation of understanding possible dynamics in a wide range of system parameters and associated fractional orders. This observed phenomenon has sparked new interest in the question of mathematically sound and rigorous proofs of the existence of such dynamics. No mathematical foundation for the stability
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Hamilton–Pfaff type PDEs through multi-dimensional fractional optimization problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-06-02 Octavian Postavaru, Antonela Toma, Savin Treanţă
In this paper, we derive Hamilton–Pfaff-type partial differential equations (PDEs) by employing exterior differential techniques within the framework of a multi-dimensional fractional optimal control problem, incorporating principles from fractional calculus. This approach provides a rigorous analytical foundation for studying systems governed by non-integer order dynamics, thereby enhancing the understanding
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Asymmetric bifurcation and snap-through behavior of bistable composite panels in time-varying centrifugal fields Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-31 Pengpeng Liu, Yang Guo, Jie Tang, Yinghui Li
This study presents a nonlinear dynamic analysis of bistable composite panels operating under time-varying centrifugal fields with harmonic perturbations. The research focuses on characterizing the asymmetric bifurcation phenomena and unidirectional snap-through mechanisms induced by rotational parameter variations. Theoretical modeling integrates first-order shear deformation theory with geometric
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Role of modified Cairns–Tsallis distribution on modulational instability and Akhmediev breathers in electronegative plasmas Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-31 Abdullah Khan, Aamir Farooq, Shaaban M. Shaaban, Azeem Hafiz P.A.
This study presents an in-depth analytical and numerical investigation of the modified Cairn–Tsallis-driven modulational instability of ion-acoustic waves in electronegative plasmas containing both positive and negative ions, as well as non-Maxwellian electrons. Using the reductive perturbation technique, the nonlinear Schrödinger equation governing the modulational instability dynamics of ion-acoustic
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Nonlinear dynamics research and global characteristic analysis of compound wind power transmission system with tooth root crack Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-30 Shuai Mo, Yiheng Liu, Xuan Huang, Yuansheng Zhou, Yurong Huang, Haruo Houjoh, Wei Zhang
The nonlinear dynamic model of the compound planetary gear transmission system with cracks was established. The mesh stiffness of the cracked gears was solved using the energy method and the slice method, and nonlinear factors such as random wind speed, time-varying support stiffness, tooth surface friction, gear flexibility, and tooth side clearance were coupled into the compound planetary gear transmission
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Dispersive blow-up for solutions to three dimensional generalized Zakharov–Kuznetsov equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-30 Minjie Shan, Yingzhe Ban
Due to the focusing of short or long waves, the solutions of dispersive equations may exhibit singularities at some point. In this article, we show that the dispersive blow-up phenomenon will occur to the solutions of three dimensional generalized Zakharov–Kuznetsov equations. Specifically, we construct smooth initial data such that the associated global solutions fail to be C1(R3) with origin as the
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The role of geometric nonlinearity in structural vibration: A stiffening/softening theory Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-29 Renfan Luo, Wei Sun
Analyzing the stiffening or softening effect on vibration in structures experiencing significant displacement due to external forces presents a formidable theoretical challenge. For this topic, the traditional methods employed by Rayleigh, Ritz, and Galerkin have proven inadequate. In response, this study introduces a novel theoretical framework to address this issue. The research highlights that rotational
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Axial rubbing-induced nonlinear vibration of shaft-disk system considering base motion Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-28 Hong Guan, Hui Ma, Xumin Guo, Qinqin Mu, Yao Zeng, Yanyan Chen
In addition to radial rubbing, axial rubbing may also occur between the rotor and stator. However, in recent decades, greater attention has been devoted to the effects of base motion on the radial rubbing of rotating machinery. This paper investigates vibration characteristics induced by axial rubbing in a shaft-disk system considering the influence of base motion. A developed differential equation
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Dynamic modeling and analysis for lateral-torsional coupling vibration of a bolted joint rotor system during speed-up process Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2025-05-28 Yuqi Li, Bo Yang, Chuanmei Wen, Zhong Luo, Bing Li
The time-varying contact states at the contact interface introduced local nonlinear mechanical behaviors of the bolted joint rotor, especially under varying speed condition. In this study, a lateral-torsional coupled dynamic model of a bolted joint rotor system is established using the lumped mass method, and the Iwan model is employed to characterize the interface contact behavior. The influence of