![](https://scdn.x-mol.com/css/images/icon-new-link.png)
样式: 排序: IF: - GO 导出 标记为已读
-
A deep learning approach for solving the stationary compositional two-phase equilibrium problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-09 Duc Thach Son Vu, Weiqing Ren
In this paper, we propose and investigate a deep neural network approach for solving the stationary compositional two-phase equilibrium problems in porous media. A recent approach is the unified formulation advocated by Lauser et al. (2011) which contains the complementarity conditions. The advantage of this formulation lies in its potential to handle the appearance and disappearance of phases automatically
-
A semi-conservative depth-averaged material point method for fast flow-like landslides and mudflows Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Marco Fois, Carlo de Falco, Luca Formaggia
We present a two-dimensional semi-conservative variant of the depth-averaged material point method (DAMPM) for modeling flow-like landslides. The mathematical model is given by the shallow water equations, derived from the depth-integration of the Navier–Stokes equations with the inclusion of an appropriate bed friction model and material rheology, namely Voellmy and the depth-integrated Bingham viscoplastic
-
Consensus control and vibration suppression for multiple flexible nonlinear Timoshenko manipulators under undirected communication topology Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Ning Ji, Jinkun Liu
In this paper, consensus control and vibration suppression problems are considered for the flexible nonlinear Timoshenko manipulator multi-agent system. The multi-agent system comprises multiple identical flexible Timoshenko manipulators, which can realize cooperation utilizing local information exchange between various agents. The bending deformation and shear deformation generated by the practical
-
Dynamics of a predator–prey system with foraging facilitation and group defense Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Yong Yao, Lingling Liu
Foraging facilitation and group defense are widespread phenomena in population ecosystem, which promote and prevent the predation in opposite processes respectively. In this work, a predator–prey system with foraging facilitation among predators and group defense in prey is proposed and investigated. To demonstrate the impact of both the foraging facilitation and the group defense on the system dynamics
-
The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Yang Xia, Haijun Jiang, Shuzhen Yu, Zhiyong Yu
Rumor spreading occurs not only between two individuals but also among multiple individuals or influenced by groups. However, pairwise interactions in complex networks are insufficient to describe this process. In this study, we propose a rumor spreading model with higher-order interactions, in which the rumor propagation process is represented by simplicial complexes. By selecting the propagation
-
A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Zhizhuo Zhang, Xiaobing Nie, Mikaël Barboteu, Jinde Cao
With the increasing demand for the accuracy of numerical simulation of pavement mechanics, the variational inequality model and its induced finite element method which can simulate the interlayer contact state becomes a potential solution. In this paper, a layer decomposition algorithm for solving variational inequality models of multi-layer elastic contact systems with interlayer Tresca friction conditions
-
Nonexistence of integrable nonlinear magnetic fields with invariants quadratic in momenta Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 B. Erdélyi, K. Hamilton, J. Pratscher, M. Swartz
Nonlinear, completely integrable Hamiltonian systems that serve as blueprints for novel particle accelerators at the intensity frontier are promising avenues for research, as Fermilab’s Integrable Optics Test Accelerator (IOTA) example clearly illustrates. Here, we show that only very limited generalizations are possible when no approximations in the underlying Hamiltonian or Maxwell equations are
-
RL-based adaptive control for a class of non-affine uncertain stochastic systems with mismatched disturbances Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Zheng Wang, Yuxuan Chang, Yanghong Qiu, Xiaolu Xing
This paper investigates the reinforcement learning (RL) adaptive tracking control design problem for a class of mismatched stochastic nonlinear systems with non-affine structure. The stochastic system studied in this paper is more generally representative due to the presence of non-affine inputs, internal uncertainties, and mismatched external disturbances. Firstly, in order to solve the non-affine
-
Mean-square exponential stabilization of memristive neural networks: Dealing with replay attacks and communication interruptions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Shuai Xiao, Zhen Wang, Xindong Si, Gang Liu
This paper investigates the mean-square exponential stabilization (MSES) of memristive neural networks (MNNs) under replay attacks and communication interruptions. The research will revolve around the following two questions: Firstly, facing replay attacks and communication interruptions, how to design an appropriate controller? Secondly, how to ensure the MSES of MNNs under higher replay attack rate
-
On fuzzy fractional differential inclusion driven by variational–hemivariational inequality in Banach spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Yunshui Liang, Lu-Chuan Ceng, Jen-Chih Yao, Wei Wu
The aim of this paper is to examine an evolution problem (FFDIVHVI) involving a fuzzy fractional differential inclusion and a variational–hemivariational inequality (VHVI) in Banach spaces. First, we show a uniqueness and existence theorem for VHVI under the theory of monotone operators and the surjectivity theorem. Then, by utilizing fixed point theorem for multivalued contraction mapping and fuzzy
-
Adaptive fuzzy event-triggered control for a class of nonlinear time-delay multi-agent systems with dead zone and partial state constraints Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Yong Zhao, Xinping Xiao
This paper presents an adaptive fuzzy event-triggered control (ETC) method for a class of time-delay nonlinear multi-agent systems (MASs) with dead zone (DZ) and partial state constraints (PSCs). It should be pointed out that the states considered in this paper are unmeasurable and part of the system states are constrained by time-varying boundary. By utilizing fuzzy logic systems (FLSs) and backstepping
-
Unconditional optimal [formula omitted]-norm error estimate and superconvergence analysis of a linearized nonconforming finite element variable-time-step BDF2 method for the nonlinear complex Ginzburg–Landau equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-04 Lifang Pei, Yifan Wei, Jiwei Zhang
In this paper, a linearized fully discrete scheme combining the variable-time-step two-step backward differentiation formula (VSBDF2) in time and the nonconforming finite element methods (FEMs) in space is constructed and analyzed for the nonlinear complex Ginzburg–Landau equation. A novel convergence analysis approach is proposed, which shows that the -norm error of this scheme can reach optimal order
-
Predicting the arrival of the unpredictable: An approach for foreseeing the transition to chaos of wildfire propagation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-03 Jorge Mampel Danta, Vera N. Egorova, Gianni Pagnini
A discrete map for modelling wind-driven wildfire propagation is derived from a prototypical reaction–diffusion equation for the temperature field. We show that, for a constant fuel concentration at the fire-front, the heat transfer coefficient from fuel to surroundings and as well as an effective heat of reaction are two independent mechanisms that can cause the transition to chaos, when they may
-
Invariant manifolds in a reversible Hamiltonian system: The tentacle-like geometry Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-03 P.S. Casas, F. Drubi, S. Ibáñez
We study a one-parameter family of time-reversible Hamiltonian vector fields in , which has received great attention in the literature. On the one hand, it is due to the role it plays in the context of certain applications in the field of Physics or Engineering and, on the other hand, we especially highlight its relevance within the framework of generic unfoldings of the four-dimensional nilpotent
-
A piezoelectric cantilever-beam-spring-pendulum oscillator for multi-directional vibration energy harvesting Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-02 Yunshun Zhang, Guangsong Zhang, Wanshu Wang
Harvesting energy from environmental vibrations holds significance for powering wireless sensors and transducers. However, the current vibration energy harvesting methods still have room for improvement, especially in the field of low-frequency vibration, where the performance of output voltage is relatively insufficient. This paper proposes a novel piezoelectric energy harvester consisting of a piezoelectric
-
[formula omitted]-soliton solutions of coupled Schrödinger–Boussinesq equation with variable coefficients Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-02 LingLing Zhang, HongTao Han
In this paper, soliton solutions of the coupled variable coefficients Schrödinger–Boussinesq equation, which describes the stationary propagation of coupled upper-hybrid waves and magnetoacoustic waves in a magnetized plasma, are investigated. Based on the Hirota bilinear method, the bilinear form, one, two, three and -soliton solutions of Schrödinger–Boussinesq equation are derived. By means of numerical
-
Collective behavior of discrete time multi-agent systems with dynamical opinions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-02 Han Guo, Xiufeng Zhang, Chunxi Yang
In this paper, a novel framework for multi-agent systems is established to explore the swarm phenomenon of individuals with opinions in nature. Unlike the conventional researches in which agents in the system rigidly follow the predefined protocol, this paper combine opinions evolution with dynamic behaviors into multi-agent systems. To study the effect of opinions on behaviors, a protocol incorporating
-
Synchronization transition in space–time chaos in the presence of quenched disorder Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-01 Naval R. Sabe, Priyanka D. Bhoyar, Prashant M. Gade
Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in the presence of quenched disorder in coupling. The disorder is identical in both replicas. We study one-dimensional, two-dimensional, and globally coupled logistic and tent maps. We observe a clear second-order transition with new exponents
-
Gaussian process learning of nonlinear dynamics Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Dongwei Ye, Mengwu Guo
One of the pivotal tasks in scientific machine learning is to represent underlying dynamical systems from time series data. Many methods for such dynamics learning explicitly require the derivatives of state data, which are not directly available and can be approximated conventionally by finite differences. However, the discrete approximations of time derivatives may result in poor estimations when
-
Stability analysis of a fractional-order [formula omitted] epidemic model for the COVID-19 pandemic Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Xinghua Hu, Yingyue Liu
To explore the impact of the COVID-19 vaccination rate and immune loss rate on the pandemic, this paper proposes a fractional-order epidemic model with vaccination ineffectiveness and infection differences. And we compare and analyze the dynamic differences between integer-order and Caputo fractional-order operators. First, we show the non-negativity and boundedness of solutions for the Caputo fractional-order
-
A three-step subgrid stabilized Oseen iterative method for Navier–Stokes type variational inequality Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Bo Zheng, Yueqiang Shang
This work is devoted to developing a two-grid subgrid stabilized Oseen iterative finite element method for the convection dominated Navier–Stokes problem with friction boundary conditions whose weak form is the variational inequality of the second kind. This method inherits the best algorithmic advantages of each and involves three steps. Specifically, in the first step, a nonlinear Navier–Stokes type
-
On high-order schemes for the space-fractional conservative Allen–Cahn equations with local and local–nonlocal operators Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Linlin Bu, Rui Li, Liquan Mei, Ying Wang
In this study, we focus on two fractional conservative Allen–Cahn equations with a nonlocal space-independent operator (called the RSLM operator) and a local–nonlocal space–time dependent operator (called the BBLM operator), respectively. Recently, scholars have found that the fractional Allen–Cahn equation is better than the classical equation for describing the interface thickness. Subsequently,
-
Corrigendum to “Observer-based fuzzy control for fractional order PMSG wind turbine systems with adaptive quantized-mechanism” [Communications in Nonlinear Science and Numerical Simulation, volume 136 (2024) 108087] Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Chendrayan Dineshkumar, Jae Hoon Jeong, Young Hoon Joo
-
Anisotropic eigenvalue problems with singular and sign-changing terms Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng
We consider a nonlinear Dirichlet problem driven by the anisotropic ()-Laplacian and with a parametric reaction which has the competing effects of a singular term and of a Carathéodory perturbation which is sign-changing and “superlinear”. Using variational tools together with truncation and comparison techniques, we show that for all small values of the parameter , the problem under consideration
-
Stochastic integral input-to-state stability for stochastic delayed networked control systems and its applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Feifan Huang, Shang Gao
In this paper, stochastic integral input-to-state stability (SiISS) is studied for stochastic delayed networked control systems (SDNCSs). With the assistance of Lyapunov–Krasovskii functional, as well as stochastic analysis and inequality techniques, we establish a Lyapunov-type criterion that guarantees SiISS for SDNCSs. What is more, another sufficient criterion is proposed by means of coefficients
-
Confocal parabolic billiard with gravitational potential: Classical and quantum description Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Marcelo Rodríguez-González, Julio C. Gutiérrez-Vega
We investigate the classical and quantum dynamics of a particle trapped in a gravitational confocal parabolic billiard. Characterizing the equi-momentum surfaces and the Poincaré phase maps reveals four different kinds of motion the particle can exhibit. The analytical expressions of the characteristic equations for getting periodic orbits and their periods were derived and validated numerically. A
-
A priori estimates of the unsteady incompressible thermomicropolar fluid equations and its numerical analysis based on penalty finite element method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Demin Liu, Junru Guo
In this paper, the unsteady incompressible thermomicropolar fluid (UITF) equations are considered. Theoretically, some a priori regularity conclusions are presented firstly, which seem to be not available in the literatures. Numerically, a penalty finite element method (PFEM) for the UITF equations is studied, the Euler semi-implicit temporal semi-discrete method of the penalty UITF equations is proposed
-
Adaptive parameters tuning based on energy-preserving splitting integration for Hamiltonian Monte Carlo Method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Cristiano Tamborrino, Fasma Diele, Carmela Marangi, Cristina Tarantino
Splitting schemes, a class of numerical integrators for Hamiltonian problems, offer a favorable alternative to the Störmer–Verlet method in Hamiltonian Monte Carlo (HMC) methodology. However, the performance of HMC is highly sensitive to the adopted step size. In this paper, we propose a novel approach for selecting the step size for advancing with the method defined by the free parameter , within
-
Multi-wing chaotic system based on smooth function and its predefined time synchronization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-27 Shaohui Yan, Hanbing Zhang, Defeng Jiang
In this paper, the construction of multi-wing chaotic system and predefined time synchronization are investigated. First, a new 4D chaotic system is constructed, and the existence of chaotic attractors is proved by dissipativity, boundedness, and Lyapunov exponents. Then the existence of a saddle focus of index-2 is proved by equilibrium point analysis, and a multi-winged hyperchaotic system is generated
-
Space fractional Allen–Cahn equation and its applications in phase separation: A numerical study Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-26 Muhammad Sohaib, Khaled M. Furati, Abdullah Shah
The phenomena of non-locality and spatial heterogeneity are intricate, and using fractional differential equations provides a robust modeling approach for understanding these characteristics. On the other hand, approximating such phenomena numerically is time-consuming and challenging. In this article, we conduct a numerical study employing the spectral method for solving the space fractional Allen–Cahn
-
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-26 Lu-Chuan Ceng, Cong-Shan Wang, Xie Wang, Liu-Fang Zheng, Hui-Ying Hu, Yun-Shui Liang
In a -uniformly convex and uniformly smooth Banach space , the CFPP and VIP are utilized to indicate a common fixed-point problem and a variational inequality problem, respectively. We devise and discuss triple-adaptive projection method with inertial effect for resolving bilevel split VIP (BSVIP) with CFPP constraint of finite Bregman relatively demicontractive mappings in . The method exploits the
-
A novel modulating functions-based non-asymptotic fractional order state differentiator for DC motor systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-25 Lei Wang, Da-Yan Liu, Liang Huang, Olivier Gibaru
A novel modulating functions (MFs)-based fractional order state differentiator is proposed for a DC motor system in this paper, which is non-asymptotic and robust against noises. The present method allows estimating not only the state of the DC motor system (e.g., current and rotor speed) but also its fractional derivative and integral, which can be used to design fractional order controllers for the
-
Self-induced non-synchronous resonance phenomena and stability in reduced aero-elastic system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-24 M. Byrtus, Š. Dyk
The paper is aimed at the parametric dynamic analysis of the two degrees of freedom (DoF) phenomenological model of aero-elastic interaction between a friction-damped flexible mounted body and a flowing fluid. A coupled system of a linear structure oscillator and the van der Pol based wake oscillator is introduced. Firstly, the complex eigenvalue problem is used for the comprehensive analysis of frequency
-
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-24 Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
The nonlocal Cahn-Hilliard equation with nonlocal diffusion operator is more suitable for the simulation of microstructure phase transition than the local Cahn-Hilliard equation. In this paper, based on the exponential semi-implicit scalar auxiliary variable method, the highly efficient and accurate schemes (in time) with unconditional energy stability for solving the nonlocal Cahn-Hilliard equation
-
A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-22 Zhihui Zheng, Guang-an Zou, Bo Wang
This paper is focused on the numerical approximations for the hydrodynamic model of nematic liquid crystals. Under the framework of a splitting projection method, we propose a novel interior penalty discontinuous Galerkin (DG) method for solving the coupled system, which is employed by combining the scalar auxiliary variables (SAV) approach, implicit-explicit (IMEX) treatments and a rotational pressure-correction
-
Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-21 Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Integrable deformations of a class of Rikitake dynamical systems are constructed by deforming their underlying Lie–Poisson Hamiltonian structures, which are considered linearizations of Poisson–Lie structures on certain (dual) Lie groups. By taking into account that there exists a one-to one correspondence between Poisson–Lie groups and Lie bialgebra structures, a number of deformed Poisson coalgebras
-
Regulation of spike propagation in feedforward neural networks through short-term synaptic plasticity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-21 Dahai Yang, Yuancheng Zhang, Hengtong Wang, Yong Chen
Both factors, multilayer Feedforward Neural Networks (FFNs) and short-term synaptic plasticity (STP), are considered crucial in the transmission and processing of neural signals. In this study, a 10-layer FFN was constructed to study the impact of STP on neuronal activity propagation. Neurons within the same layer do not have direct connections; instead, neurons between adjacent layers are randomly
-
Error estimates and numerical simulations of a thermoviscoelastic contact problem with damage and long memory Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-20 Xinyu Sun, Xiaoliang Cheng, Hailing Xuan
This paper aims to investigate a thermal frictional contact model with damage and long memory effects. We consider a deformable body made of viscoelastic material and assume the process to be dynamic. The material is expected to adhere to the Kelvin–Voigt constitutive law, with damage and thermal effects incorporated. The variational formulation of the model results in a coupled system comprising a
-
Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-20 Bangti Jin, Yifeng Xu, Jingrong Yang, Kai Zhang
In this paper, we present an alternative discrete total variation type functional for image reconstruction in electrical impedance tomography. The modified functional deals with unknown inclusions and values of conductivity. The convergence of the proposed finite element method with uniform refinement is also established: the sequence of discrete solutions contains a subsequence that converges to a
-
How do time delays influence dynamics and controls of a generalized SEAIR model? Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-18 Jianguo Deng, Huili Xiang
Given the critical role of time delays in epidemic modeling, this paper delves into the dynamics and finite-time optimal stabilization of a novel epidemic system characterized by such delays. Our findings reveal that time delays significantly influence both the system’s dynamics and the formulation of an optimal control strategy. Specifically, the system’s endemic equilibrium point remains locally
-
A novel optimal control strategy for nutrient–phytoplankton–zooplankton model with viral infection in plankton Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-18 R.N. Premakumari, Chandrali Baishya, Mohammad Esmael Samei, Manisha Krishna Naik
This paper presents a mathematical model that explores the intricate dynamics between nutrients, phytoplankton, and zooplankton populations, incorporating viral infection phenomena in the frame of the Caputo fractional derivative. The conceptual properties such as the existence, uniqueness, and stability of multiple equilibria are analyzed under specific conditions. We have defined some threshold parameters
-
Multi-origins of pathological theta oscillation from neuron to network inferred by a combined data and model study with cubature Kalman filter Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-17 Jixuan Wang, Bin Deng, Jiang Wang, Lei Xiang, Tianshi Gao, Haitao Yu, Chen Liu
The brain rhythm is strongly associated with the brain function. Alzheimer's disease (AD) is characterized reflected by the brain rhythm switching from the alpha band (9–12 Hz) to the theta band (4–8 Hz), accompanied with the loss of brain function. However, extracting the implicating intrinsic characteristic variations of the brain network by utilizing the Electroencephalogram (EEG) information is
-
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-17 Yebin Li, Dongshu Wang, Longkun Tang
This paper proposes an event-triggered adaptive fuzzy asymptotic predefined-time controller for uncertain nonlinear systems (UNS) subject to external disturbances. By introducing a set of well-designed asymptotic performance adjustment (APA) functions, we establish a general framework for analyzing asymptotic predefined-time stability (APDTS). Under the control scheme based on the established framework
-
Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-14 Deeptajyoti Sen, Lenka Přibylová
This study investigates the problem of ecosystem dynamics in fragmented landscapes, specifically focusing on a two-patch environment with interacting prey and predators. The research examines the impact of cross-predation on these interactions. Using bifurcation analysis, we explored the structural arrangement of attractors and identified complex dynamics such as symmetric, asymmetric, and asynchronous
-
Spatial and temporal dynamics of thermal motion of a chain of liquid lead nanoinclusions attached to a fixed dislocation segment in an aluminum matrix Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-13 Sergei I. Prokofjev
Thermal motion of a chain of liquid lead nanoinclusions attached to a dislocation segment fixed at its ends in the aluminum-based alloy was studied using TEM in the temperature range from 442 °C to 497 °C. The projections of points of the trajectories of the inclusions onto the dislocation line were analyzed. The evidence for the collective interaction of all the inclusions and their spatially correlated
-
Intermittent event-triggered control for exponential synchronization of delayed neural networks on time Scales Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-13 Ruihong Liu, Chuan Zhang, Yingxin Guo, Xianfu Zhang
This paper studies the exponential synchronization of delayed neural networks (DNNs) on time scales using the intermittent event-triggered control (IETC) method. Initially, considering the time scale situation, an IETC that merges intermittent control and event-triggered control is introduced, and a new differential inequality is developed. Subsequently, an exponential synchronization criterion is
-
Finite-time consensus of second-order multi-agent connectivity preserving based on adaptive sliding mode control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-13 Yiping Luo, Weijie Huang, Jinde Cao, Zhe Cao
This study addresses the problem of robust finite-time connectivity preserving consensus for second-order multi-agent systems (MASs) with a limited communication range. Considering that the communication ability of agents in practical applications is limited, this study introduces an innovative approach to the consensus protocol, which involves the incorporation of a potential function aimed at ensuring
-
The dance of neurons: Exploring nonlinear dynamics in brain networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-12 Maryam Saadati, Saba Sadat Khodaei, Yousef Jamali
The brain is a complex, nonlinear system, exhibiting ever-evolving patterns of activities, whether in the presence or absence of external stimuli or task demands. Nonlinearity can notably obscure the link between structural constraints enforced on the interaction and its dynamical consequences. Suitable nonlinear dynamical models and their analysis serve as essential tools not only for bridging structural
-
Dissipativity-based robust filter design for singular fuzzy systems with dynamic quantization and event-triggered mechanism Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-12 Qian Yang, Xiao-Heng Chang
This paper focus on the design issue of event-based dissipative filter for quantized nonlinear singular systems. To save the communication resource, we employ a dynamic quantizer to quantized the measurement output signal prior to transmitting it to the filter via digital communication. Furthermore, the paper also presents an event-triggered mechanism for determining the transmission of the quantized
-
Fixed/Preassigned-time synchronization of quaternion-valued BAM neural networks: An event-based non-separation control method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-11 Shichao Jia, Cheng Hu, Liang Feng, Tingting Shi, Haijun Jiang
Quaternions provide expressive power beyond real numbers, allowing neural networks to capture and process correlations and patterns in data with greater complexity. Besides, event-triggering mechanism has significant advantages in reducing redundant data transmission and control costs, since the sampling instant is determined by preset trigger conditions. Based on these fact, this article investigates
-
Extremization to fine tune physics informed neural networks for solving boundary value problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-10 Abhiram Anand Thiruthummal, Sergiy Shelyag, Eun-jin Kim
We propose a novel method for fast and accurate training of physics-informed neural networks (PINNs) to find solutions to boundary value problems (BVPs) and initial boundary value problems (IBVPs). By combining the methods of training deep neural networks (DNNs) and Extreme Learning Machines (ELMs), we develop a model which has the expressivity of DNNs with the fine-tuning ability of ELMs. We showcase
-
Global exponential synchronization of BAM memristive neural networks with mixed delays and reaction–diffusion terms Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Huihui Chen, Minghui Jiang, Junhao Hu
Based on -norm, this paper investigates global exponential synchronization (GES) for BAM memristive neural networks (BAMMNNs) with mixed delays and reaction–diffusion (RD) terms. Different from the existing literatures, this paper discusses the GES of the NNs based on a new integral inequality with infinite distributed delay. This method is based on inequality technique and comparison principle, which
-
A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Ying Ye, Xinlong Feng, Lingzhi Qian
In this paper, we consider the generalized Allen–Cahn-type phase-field crystal model with face-centered-cubic ordering structure (PFC-FCC). Due to the combined complexity of the eighth-order spatial derivative and inherent nonlinearity, it poses a significant challenge to design a numerical scheme of high accuracy, stability, and efficiency to solve the PFC-FCC model. Endeavoring towards this objective
-
Projective synchronization in fixed/predefined-time for quaternion-valued BAM neural networks under event-triggered aperiodic intermittent control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Xuejiao Qin, Haijun Jiang, Jianlong Qiu, Cheng Hu, Xinman Li
This study aims to solve the fixed/predefined-time projective synchronization (FTPS/PTPS) of quaternion-valued BAM neural networks (BAMNNs) through event-triggered aperiodic intermittent control (ETAIC). Firstly, a novel quaternion-valued BAMNN model is established by integrating discontinuous activations, parameter uncertainties and time-varying delays. Subsequently, under the framework of the non-separation
-
Stochastic non-fragile guaranteed cost control for IT2 fuzzy SMJSs under hybrid-triggered scheme and random deception attacks with application to MSD mechanical system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Yifan Wu, Guangming Zhuang, Qian Ma, Yanqian Wang
This paper researches the stochastic non-fragile guaranteed cost control for interval type-2 (IT2) fuzzy singular Markovian jump systems under hybrid-triggered scheme and random deception attacks. A hybrid-triggered scheme including a time trigger and an event trigger is adopted to relieve the strain on network transmission. Through constructing mode-dependent Lyapunov–Krasovskii (L–K) functional and
-
A hybrid variational method for beam propagation and interaction in a graded-index nonlinear waveguide Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Tran Ky Vi, Nguyen Dang Quang Huy, Tran Chi Quy, Bui Duc Tinh, Le Minh Thu, Doan Quang Tri, Marek Trippenbach, Nguyen Viet Hung
The hybrid variational method can be used to simplify multidimensional numerical simulations. We examine the applicability of this method to study the nonlinear propagation of a single beam and the interference of two spatial soliton beams in a graded-index optical waveguide governed by a two-dimensional nonlinear Schrodinger equation. We classified three distinct regimes of the dynamics that emerge
-
Stability analysis of linear systems with multiple time-varying delays via a region partitioning approach and reciprocally convex combination lemmas Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Xianwen Xiong, Xianshuang Yao, Zhanjun Huang
The delays-dependent stability analysis of linear systems with multiple time-varying delays is addressed in this study. To estimate the integral term that results from the differentiation of Lyapunov–Krasovskii functional (LKF), an improved region partitioning approach and relaxed lemmas are proposed. Based on all the delayed state information, the maximum delay interval is separated into non-overlapping
-
Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Xin Liu, Pei Cheng
In this paper, we investigate the problem of the mean-square exponential stabilization for a class of unstable impulsive hybrid stochastic differential equations with Lévy noise (IHSDEs-LN) via feedback control based on discrete-time state observations. Our results show that if feedback control of continuous-time observations can stabilize the controlled system in the sense of mean-square exponential
-
On solitary-wave solutions of Rosenau-type equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Angel Durán, Gulcin M. Muslu
The present paper is concerned with the existence of solitary wave solutions of Rosenau-type equations. By using two standard theories, Normal Form Theory and Concentration-Compactness Theory, some results of existence of solitary waves of three different forms are derived. The results depend on some conditions on the speed of the waves with respect to the parameters of the equations. They are discussed
-
Effect of the chaotic signal on the firing frequency of Morris-Lecar neurons Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Ramazan Solmaz