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Projective synchronization for distinct fractional-order neural networks consist of inconsistent orders via sliding mode control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-16 Junshuang Zhou, Deyi Li, Guici Chen, Shiping Wen
The present study delves into the projective synchronization for distinct fractional-order neural networks consist of inconsistent orders, employing the principles of sliding mode control and incorporating fractional operators within the controller. Firstly, incorporating the fractional-order derivative into the controller facilitates the derivation of a synchronous error system, and a well-suited
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Fuzzy adaptive event-triggered synchronization control mechanism for T-S fuzzy RDNNs under deception attacks Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-16 Shuoting Wang, Kaibo Shi, Jinde Cao, Shiping Wen
In this paper, a fuzzy-dependent adaptive event-triggered mechanism (FAETM) for synchronizing Takagi–Sugeno (T-S) fuzzy reaction–diffusion neural networks (RDNNs) is developed while considering deception attacks. Firstly, a general neural network model considering both fuzzy logic rules and reaction–diffusion terms is established. Secondly, a FAETM based on an aperiodic sampling period is presented
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Lyapunov stability of fuzzy dynamical systems based on fuzzy-number-valued function granular differentiability Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-16 Hong Yang, Yu Chen
Lyapunov stability theory provides a powerful technique for stability analysis of dynamical systems, particularly for the stability of nonlinear dynamical system. This paper deals with the stability of fuzzy dynamical systems using a novel notion called granular fuzzy Lyapunov function. In order to analyze the stability, some new notions are introduced such as fuzzy equilibrium point, the ball of fuzzy
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Leader-following synchronization for Lur’e networks via dynamic event-triggered control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-16 Zhengxin Wang, Haonan Xu, Sijiao Sun, Yang Liu, Min Xiao, Jinde Cao
This paper considers synchronization of Lur’e systems under a dynamic event-triggered framework. To facilitate the study, a novel time-varying sampled-data-related dynamic event-triggered control (ETC) related to fully discrete local information is proposed, which does not require continuous communication among nodes and naturally avoids Zeno behavior. By using the Halanay inequality, a number of sufficient
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Novel superconvergence analysis of a low order FEM for nonlinear time-fractional Joule heating problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-16 Xiangyu Shi, Haijie Wang, Dongyang Shi
The aim of this paper is to develop and investigate a fully-discrete scheme with conforming element for the nonlinear time-fractional Joule heating problem in which the Caputo derivative is approximated by the classical method. First, a novel superclose estimate in the -norm is derived rigorously with some new analysis techniques under low regularity of the solutions rather than and required in the
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A two–strain avian–human influenza model with environmental transmission: Stability analysis and optimal control strategies Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-15 Calvin Tadmon, Arnaud Feukouo Fossi, Berge Tsanou
On the basis of the WHO legitimated fear that there will be an avian influenza virus strain capable of mutating once it reaches the human population and sustains human-to-human transmissions, we formulate an hypothetical mathematical model which accounts for the environmental transmission and mutation of an avian influenza virus having the ability to spill over into the human population and become
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Non-smooth dynamics of a fishery model with a two-threshold harvesting policy Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-15 Joydeb Bhattacharyya, Malay Banerjee, Soumitro Banerjee
The non-linear dynamical systems theory helps implement regulatory measures to control the growth and evolution of various populations. While invasion by alien fish species is an emerging threat to native fish species in marine ecosystems, a suitable fishery management protocol needs to be incorporated in marine protected areas (MPAs) to mitigate the problem. We propose a policy of selective harvesting
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Global exponential synchronization of switching neural networks with leakage time-varying delays Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-15 Shilei Yuan, Yantao Wang, Xian Zhang
In this paper, the synchronization problem of a class of switching neural networks with leakage time-varying delays is studied. A system solution-based direct analysis method is proposed to derive the sufficient conditions of global exponential synchronization for master–slave systems. Firstly, the state variable expression of the error system is derived by constructing a suitable regulation function
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Symmetry of the stochastic Rayleigh equation and features of bubble dynamics near the Blake threshold Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-15 A.O. Maksimov
Ultrasonic cleaning is widely accepted as being an extremely efficient method of decontaminating a diverse range of objects and products. Optimization of the process is generally achieved by variation in the intensity and the spectrum of ultrasound. This spectrum takes the form of individual lines, which are superimposed on the noise background. The stochastic dynamics of the bubble in the acoustic
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A relaxation approach to modeling properties of hyperbolic-parabolic type models Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-12 Eduardo Abreu, Arthur Espírito Santo, Wanderson Lambert, John Pérez
In this work, we propose a novel relaxation modeling approach for partial differential equations (PDEs) involving convective and diffusive terms. We reformulate the original convection–diffusion problem as a system of hyperbolic equations coupled with relaxation terms. In contrast to existing literature on relaxation modeling, where the solution of the reformulated problem converges to certain types
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Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-12 Handan Borluk, Gulcin M. Muslu, Fábio Natali
In this paper, we determine the spectral instability of periodic odd waves for the defocusing fractional cubic nonlinear Schrödinger equation. Our approach is based on periodic perturbations that have the same period as the standing wave solution, and we construct real periodic waves by minimizing a suitable constrained problem. The odd solution generates three negative simple eigenvalues for the associated
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Modulation instability and collision dynamics of solitons in birefringence optical fibers Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Fei-Fei Liu, Xing Lü, Jian-Ping Wang, Xian-Wei Zhou
In this paper, we investigate soliton modulation instability and collision dynamics in the birefringence optical fibers. Soliton transmission in the picosecond or femtosecond range in optical fibers is described by the coupled hybrid nonlinear Schrödinger equations. We focus on the modulation instability of the plane wave and the gain spectrum under different parameters. The three-soliton solutions
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Enhanced parallel computation for time-fractional fluid dynamics: A fast time-stepping method with Newton-Krylov-Schwarz solver Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Li Xia, Xiaoyun Jiang, Fanhai Zeng, Zeng Lin, Shanlin Qin, Rongliang Chen
This paper presents a sum-of-exponentials domain decomposition method for the numerical simulation of two-dimensional unsteady fluid flow and heat transfer using a time-fractional fluid model. We employ a fast time-stepping approach to discretize the time-fractional derivatives, followed by the application of a parallel Newton-Krylov-Schwarz algorithm to solve the resulting discrete nonlinear system
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Folding Domain Functions (FDF): A Random Variable Transformation technique for the non-invertible case, with applications to RDEs Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Fabrizio Masullo, Fabio Zanolin, Josep Bonet Avalos
The Random Variable Transformation (RVT) method is a fundamental tool for determining the probability distribution function associated with a Random Variable (RV) where is a RV and is a suitable transformation. In the usual applications of this method, one has to evaluate the derivative of This can be a straightforward procedure when is invertible, while difficulties may arise when is non-invertible
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Analysis of quasi-variational–hemivariational inequalities with applications to Bingham-type fluids Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Stanisław Migórski, Yang Chao, Jiahong He, Sylwia Dudek
In this paper we study the sensitivity analysis of elliptic quasi-variational–hemivariational inequalities with constraint. The upper semicontinuity property of the solution map with respect to a parameter is established. An application to the steady-state incompressible Navier–Stokes equation with mixed boundary conditions in a model for a generalized Newtonian fluid of Bingham-type is provided. The
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Stability and nonlinear vibrations of an inclined axially moving beam considering self-weight Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Zhenhao Shi, Chao Wang, Guo Yao
The transmission device of the astronautic exploration vehicle can be regarded as an inclined beam experiencing axial motion under varying gravitational acceleration and tilt angle. Understanding the instability and vibration characteristics of this structure with axial movement is crucial for the dynamic design of the astronautic exploration vehicle. This paper discusses the stability and non-linear
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Fractional damping induces resonant behavior in the Duffing oscillator Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Mattia Coccolo, Jesús M. Seoane, Miguel A.F. Sanjuán
The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping term. Our findings show that for certain values of the fractional order parameter, the damping parameter, and the forcing amplitude high oscillations amplitude can
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Shape transformation on curved surfaces using a phase-field model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-11 Hyundong Kim, Seungyoon Kang, Gyeonggyu Lee, Sungha Yoon, Junseok Kim
Shape transformation on evolving curved surfaces is essential for its diverse applications across various scientific disciplines and facilitates the deeper understanding of natural phenomena, the development of new materials, and engineering design optimization. In this study, we develop a phase-field model and its numerical methods for shape transformation on curved surfaces. A modified surface Allen–Cahn
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The virtual element method with interior penalty for the fourth-order singular perturbation problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-08 Bei Zhang, Jikun Zhao
We present the virtual element method with interior penalty to solve a fourth-order singular perturbation problem. In order to estimate the nonconformity error, the degrees of freedom on edges are changed to the moments of functions in the interior penalty scheme. To do this, we design a special -type projection that can be uniquely determined by the new degrees of freedom. With the help of the -type
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A structure-preserving projection method with formal second-order accuracy for the incompressible Navier–Stokes equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-07 Junxiang Yang, Yibao Li, Junseok Kim
The incompressible Navier–Stokes equations play an important role in describing extensive fluid phenomena in science and engineering. With some specific boundary treatments, the Navier–Stokes equations can satisfy an energy evolutional structure with respect to kinetic energy and works done by external forces. If the external forces are absent, the energy dissipation law is obtained. This work aims
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The dimension reduction method of two-grid Crank–Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-07 Yihui Zeng, Yuejie Li, Yitian Zeng, Yihua Cai, Zhendong Luo
Herein, we mainly resort to a proper orthogonal decomposition (POD) to study the dimension reduction of unknown solution coefficient vectors in the two-grid Crank–Nicolson mixed finite element (CNMFE) (TGCNMFE) method for the nonlinear fourth-order reaction diffusion equation with temporal fractional derivative and establish a new reduced-dimension extrapolated TGCNMFE (RDETGCNMFE) method. For this
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Security synchronization problem for stochastic complex networks via event-triggered impulsive control with actuation delays Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-07 Zhengli Liu, Mengzhuo Luo, Jun Cheng, Iyad Katib, Kaibo Shi
This study focused on the security synchronization problem for stochastic complex networks (SCNs) via event-triggered impulsive control (ETIC) with actuation delays. Firstly, incorporating the network topology and the Lyapunov function theory, a novel event-triggered mechanism (ETM) is devised, which accounts for actuation delays; Secondly, an ETM-based quantizer is introduced to optimize network resources
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Novel passivity and dissipativity criteria for discrete-time fractional generalized delayed Cohen–Grossberg neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-06 Chen Wang, Hai Zhang, Danli Wen, Mouquan Shen, Liwei Li, Zhihao Zhang
This paper pays attention to the passivity and dissipativity for discrete-time fractional generalized delayed Cohen-Grossberg neural networks. A new fractional passive lemma is firstly proposed for discrete-time system by means of the Lyapunov functional. This facilitates the discussion of system stabilization in terms of input and output energy. Some passive and dissipative conditions are established
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Mechanism and quantitative criterion of free vibration characteristics of hydraulic systems using the water hammer reflection coefficient Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-06 Yi Liu, Jian Zhang, Xiaodong Yu, WeiXin Qiu, Zhe Liu
Hydraulic vibration is a periodic hydraulic transient in piping systems, which can result in local damage and operating accidents involving hydraulic, mechanical, and electrical systems. However, traditional hydraulic vibration theory is limited in practical application because of its complex mathematical form and low computational efficiency. This study presents a free vibration analysis method of
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Numerical analysis of the kinetic equation describing isotropic 4-wave interactions in non-linear physical systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-06 B.V. Semisalov, S.B. Medvedev, S.V. Nazarenko, M.P. Fedoruk
We develop a numerical method for solving kinetic equations (KEs) that describe out-of-equilibrium isotropic nonlinear four-wave interactions in optics, deep-water wave theory, physics of superfluids and Bose gases, and in other applications. High complexity of studying numerically the wave kinetics in these applications is related with the multi-scale nature of turbulence and with power-law behaviour
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Hedging lookback-barrier option by Malliavin calculus in a mixed fractional Brownian motion environment Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-06 Kefan Liu, Jichao Zhang, Yueting Yang
We present a Malliavin calculus approach to a mixed fractional Brownian motion option hedging model, that adequately describes, e.g., the hedging of a lookback-barrier option with the floating strike price. The Markovian setup and smooth stochastic differentials are necessary components in the payoff function for classical -hedging of a contingent claim. This is in contrast to the Malliavin calculus
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Breather solutions for a radially symmetric curl-curl wave equation with double power nonlinearity Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-06 Xin Meng, Shuguan Ji
This paper is concerned with breather solutions of a radially symmetric curl-curl wave equation with double power nonlinearity where , is the unknown function, and are radially symmetric coefficient functions with . By considering the solutions with a special form , we obtain a family of ordinary differential equations (ODEs) parameterized by the radial variable . Then we characterize periodic behaviors
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Numerical study of distributed-order Bessel fractional derivative with application to Euler–Poisson–Darboux equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-05 Hadiseh Jafari Arimi, Mostafa Eslami, Alireza Ansari
The present paper introduces the distributed-order (DO) Bessel fractional derivative for study of the Euler–Poisson–Darboux (EPD) equation including the spatial Riesz fractional derivative (RFD). For this purpose, we discretize the integral term of the DO fractional derivative and approximate the RFD derivative. We thereafter apply an implicit difference method (IDM) for numerical analysis and solvability
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Group consensus for fractional-order heterogeneous multi-agent systems under cooperation-competition networks with time delays Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-05 Fenglan Sun, Yunpeng Han, Wei Zhu, Jürgen Kurths
The issue of group consensus for heterogeneous fractional-order multi-agent systems under the cooperation-competition networks with time delays is investigated in this paper. Novel group consensus control protocols with input and communication delays are designed based on cooperative-competitive interaction. The considered multi-agent systems consists of fractional order dynamics with the single integrator
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Sensitivity and unpredictability in semiflows on topological spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-05 Arpit Mahajan, Rahul Thakur, Ruchi Das
We introduce and study notions of topological sensitivity and topologically unpredictable point for semiflows on topological spaces. Both these notions are related with their original versions. With the help of topological transitivity, we provide some sufficient conditions for a semiflow to be topologically sensitive. The notion of topologically unpredictable point is studied on the arbitrary product
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Stability for Markov switching stochastic delay systems binding event-triggered mechanism to activate multi-impulse jumps Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-04 Zhenyue Wang, Quanxin Zhu
This paper focuses on the th moment exponentially stability for Markov switching and multi-impulse jumps stochastic time-varying delay system, where the switching behavior among subsystems of the target system is determined by Markov chains, and the occurrence of impulsive jumps is decided according to event-triggered impulsive mechanism when certain well-designed conditions are satisfied. By applying
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Hybrid event-triggered control for networked switched Takagi–Sugeno fuzzy systems with aperiodic DoS attacks Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-01 Siyi Guo, Yuechao Ma
This article investigates the event-triggered control problem for networked switched Takagi–Sugeno fuzzy systems (NSTSFSs) with denial of service (DoS) attacks. First, an attack-instant-constrained hybrid event-triggered mechanism (ETM) is proposed, which uses the acknowledgment character (ACK) detection scheme. It can describe the triggering schemes under different attack intervals and modify the
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The high-order approximation of SPDEs with multiplicative noise via amplitude equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-03-01 Shiduo Qu, Hongjun Gao
The aim of this paper is to investigate the high-order approximation of a class of SPDEs with cubic nonlinearity driven by multiplicative noise with the help of the amplitude equations. The highlight of our work is the provision of approximate solutions with enhanced accuracy. Precisely, previous researches primarily concentrated on deriving approximate solutions via the first-order amplitude equations
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Anti-disturbance state estimation for PDT-switched RDNNs utilizing time-sampling and space-splitting measurements Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-29 Xiaona Song, Zenglong Peng, Shuai Song, Vladimir Stojanovic
Anti-disturbance state estimation for reaction–diffusion neural networks (RDNNs) subject to persistent dwell-time (PDT) switching constraints is investigated in this paper. First, PDT switching that can be utilized to characterize both the fast and slow switching processes is used in this paper to accurately model the RDNNs. Moreover, by designing the time-sampling and space-splitting measurement algorithms
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Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-29 Dmytro Leshchenko, Sergey Ershkov, Tetiana Kozachenko
The paper develops an approximate solution by means of an averaging method to the system of Euler's equations with additional perturbation terms for a nearly dynamically spherical rigid body containing a viscoelastic element. The averaging method is used. The asymptotic approach permits to obtain some qualitative results and to describe evolution of angular motion using simplified averaged equations
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An absorbing set for the Chialvo map Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-29 Paweł Pilarczyk, Grzegorz Graff
The classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide
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Chaotic transitions in a tumor-immune model under chemotherapy treatment Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-29 Irina Bashkirtseva, Lev Ryashko, Jesús M. Seoane, Miguel A.F. Sanjuán
In this work, we study a tumor model under chemotherapy treatment in which the drug directly affects an isolated population of the tumor cells. By using a dimensionless version of the model, we analyze the behavior of the tumor when we increase the intensity of the chemotherapy in function of the recruitment parameter . Our research shows that, for a certain interval of parameter , there is a region
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Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-29 Shitian Dong, Haiyan Su, Xiaodi Zhang
This paper presents dual-robust iterative algorithms for the 2D/3D steady thermally coupled inductionless magnetohydrodynamics (IMHD) system in a general Lipschitz domain. Both velocity and current density are discretized by the divergence-conforming elements. Furthermore, we utilize an interior penalty discontinuous Galerkin (IPDG) approach to guarantee the -continuity of velocity. With the system’s
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Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-28 Yang Wang, Shuyu Sun
In this paper, we propose two Multipoint Stress Mixed Finite Element (MSMFE) methods for linear viscoelasticity with weak symmetry on quadrilateral grids. The methods are constructed based on the lowest order Brezzi–Douglas–Marini mixed finite element spaces for elastic and viscous stress, piecewise constant velocity and piecewise constant (linear) vorticity. A special quadrature rule is applied for
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The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-28 Yue Wang, Fuzheng Gao
This paper presents the lowest-order weak Galerkin finite element method for linear elasticity problems on the convex polygonal meshes. This method uses piecewise constant vector-valued spaces on element interiors and edges. The discrete weak gradient space introduced by this paper is the matrix version of space. The discrete weak divergence space is piecewise constant space on each element. This method
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Light-fueled self-fluttering aircraft with a liquid crystal elastomer-based engine Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-28 Haiyang Wu, Chongfeng Zhao, Yuntong Dai, Kai Li
In response to external stimuli, active materials are able to alter their shape or motion. Nonetheless, considerable challenges remain in the effective realization and control of active machines. Conventional control methods, involving sensor-based and external device control as well as electronic control, are intricate and tough to put into practice. Conversely, self-oscillators built upon active
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A simple model of nutrient recycling and dormancy in a chemostat: Mathematical analysis and a second-order nonstandard finite difference method Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-27 Fawaz K. Alalhareth, Ana Clarisa Mendez, Hristo V. Kojouharov
A chemostat is an apparatus that sustains a homogeneous environment through continuous inflow and outflow. Presented is a chemostat model that characterizes the dynamics of dormancy-capable microorganisms. This model of coupled systems of nonlinear ordinary differential equations (ODEs) can apply to various types of organisms, such as different species of bacteria, archaea, algae, fungi, viruses, and
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Invasion traveling waves of a three species Lotka–Volterra competitive system with nonlocal dispersal Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-27 Meng-Lin Wang, Guo-Bao Zhang, Pu He
In this paper, we study the invading dynamics of a three species Lotka–Volterra competitive system with nonlocal dispersal. We mainly focus on two situations: (i) two alien species invade one weak native species; (ii) one alien species invades two weak native species. This invasion process can be characterized by the traveling waves connecting two different constant states. By applying Schauder’s fixed
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Optimal control of an elastic–rigid obstacle problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-24 Qinghua Ran, Jie Zhang
In this paper, we consider the optimal control problem of an elastic–rigid obstacle problem. The force is considered as the control, and the corresponding solution to the elastic–rigid obstacle problem is taken to be the state. An approximate optimization problem is proposed by regularizing the original non-differentiable constrained problem, and the connection between the two formulations is established
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Optimal control of a semiclassical Boltzmann equation for charge transport in graphene Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-24 Giovanni Nastasi, Alfio Borzì, Vittorio Romano
An ensemble optimal control problem governed by a semiclassical space-homogeneous Boltzmann equation for charge transport in graphene is formulated and analyzed.
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A competition model with impulsive interventions and environmental perturbations in moving environments Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-24 Yue Meng, Zhigui Lin, Carlos Alberto Santos
In order to understand how impulsive interventions and environmental perturbations affect dynamics of competitors, we focus on a diffusive competition model with free boundaries and periodic pulses in a temporally heterogeneous environment with upward or downward advection. The dependence of the principal eigenvalue of corresponding periodic impulsive eigenvalue problem on advection rates, habitat
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Double Hopf bifurcation induced by spatial memory in a diffusive predator–prey model with Allee effect and maturation delay of predator Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-24 Shuai Li, Sanling Yuan, Zhen Jin, Hao Wang
In this paper, we delve into double Hopf bifurcation induced by memory-driven directed movement in a spatial predator–prey model with Allee effect and maturation delay of predators. We first adopt a novel technique to handle the associated characteristic equation and thus obtain the crossing curves as well as the double Hopf points. We then calculate explicit formulae of normal form regarding non-resonant
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Nested mixed-mode oscillations in the forced van der Pol oscillator Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-24 Naohiko Inaba, Hideaki Okazaki, Hidetaka Ito
The forced van der Pol oscillator has played a fundamental role in the development of nonlinear science. It is notable that the van der Pol oscillator in the absence of an AC forcing term explains the underlying mechanism that induces limit cycles and relaxation oscillations; the forced van der Pol oscillator was the first electric oscillator that, via measurements of the emitted sound, was inferred
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A numerical study of a single isolated human ventricular cell response to a periodic pulse stimulus current using the Rogers–McCulloch model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-23 A. López-Zazueta, M. Soto-Bajo, A. Fraguela Collar
Among the primary causes of cardiac arrhythmias are abnormalities in the generation of action potentials (APs) by the cardiac cells, which may be induced by alterations in the electrophysiological properties of the cells as well as the stimuli delivered to them. Through numerical simulations using the phenomenological model of Rogers–McCulloch, this study examined how external stimuli modulate the
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Impact of non-diffusive interactions on Turing instability Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-23 Nannan Zhao, Haohao Xie, Xuexue Zhang
Observational studies of the chemical reactions have shown that the uniform state, driven by the diffusion differences of activator and inhibitor species, can seed the spontaneous emergence of spatially organized patterns—also known as Turing instability. The presence of diffusive interaction between the species in discrete media can naturally form the structure of the network Laplacian, thereby resulting
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Strong convergence of Euler–Maruyama schemes for doubly perturbed McKean–Vlasov stochastic differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-21 Dongxuan Wu, Yaru Zhang, Liping Xu, Zhi Li
In this paper, we develop strong convergence of the Euler–Maruyama (EM) scheme for approximating the doubly perturbed McKean–Vlasov stochastic differential equations. In contrast to the existing work, a novel feature is that we use more general conditions for parameters and . To obtain the desired approximation, this paper also proves the existence and uniqueness of strong solution for this class of
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Modeling of an Irrigation Main Canal Pool based on a [formula omitted]-[formula omitted] System Identification Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-21 Selma Benftima, Saddam Gharab, Raúl Rivas-Pérez, Vicente Feliu-Batlle
Dynamic models of main irrigation canals are necessary to carry out real-time canal flow control and supervision. Since the hydraulic equations of canal dynamics are nonlinear, their solution involves large computations that impede their use in real-time applications. Then these tasks are often implemented using simple local linear models obtained around an operating point, that are unable to capture
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Grünwald–Letnikov scheme for a multi-term time fractional reaction-subdiffusion equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-21 Hu Chen, Yubing Jiang, Jian Wang
In this work, we establish the pointwise-in-time error estimate of a Grünwald–Letnikov scheme for a multi-term time fractional reaction-subdiffusion problem with initial singularity, where Legendre spectral Galerkin method is used for spatial discretization. The theoretical results show that the temporal accuracy is first order if is away from 0, while, globally it is , where is the highest order of
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Double inertial Forward–Backward–Forward method with adaptive step-size for variational inequalities with quasi-monotonicity Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-20 Ke Wang, Yuanheng Wang, Yekini Shehu, Bingnan Jiang
The paper introduce a new inertial forward–backward–forward method with adaptive step size constructed by double inertial extrapolation steps and relaxations to solve variational inequalities with quasi-monotonicity in real Hilbert spaces. We obtain weak and strong convergence results for our propose inertial Forward–Backward–Forward method under some mild conditions. Linear convergence results under
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Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-20 Heng Zhao, Ning Zhao, Guangdeng Zong, Xudong Zhao, Ning Xu
This paper studies the sliding-mode surface (SMS)-based approximate optimal control issue for a class of nonlinear multiplayer Stackelberg-Nash games (MSNGs). First, considering different roles of the players in MSNGs, a hierarchical decision-making process is expressed as designing different cost functions for the leader and the followers. Therein, the leader makes its decision preferentially with
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Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-20 Vyacheslav M. Boyko, Roman O. Popovych, Oleksandra O. Vinnichenko
Applying an original megaideal-based version of the algebraic method, we compute the point-symmetry pseudogroup of the dispersionless (potential symmetric) Nizhnik equation. This is the first example of this kind in the literature, where there is no need to use the direct method for completing the computation. The analogous studies are also carried out for the corresponding nonlinear Lax representation
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Almost sure exponential stabilization of impulsive Markov switching systems via discrete-time stochastic feedback control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-17 Xin Liu, Pei Cheng, Dianqiang Li
It is well known that noise can stabilize an unstable Markov switching system (MSS). However, given an unstable impulsive Markov switching system (IMSS), can it be stabilized by noise? To the best of the author’s knowledge, this question has been rarely explored. If the stochastic feedback controller is observed in discrete time, the research is more difficult. In this paper, a comparative method is
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Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-17 Pablo Amster, Gonzalo Robledo, Daniel Sepúlveda
In this work, we introduce and start the analysis of a periodic and nonlinear system of delay difference equations describing a chemostat with periodic inputs of limiting nutrient and size-structured biomass. The main novelties of this article are the following: (i) this is the first study of a discrete, structured, and periodic chemostat model taking into account the existence of a time delay between
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Low order nonconforming finite element methods for nuclear reactor model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-02-16 Chaoqun Li, Dongyang Shi
A uniform framework of the linearized fully decoupled fully discrete schemes is developed and investigated with low order nonconforming finite element methods (FEMs) for nuclear reactor model. On the one hand, a general scheme called is constructed. Then, the modified Ritz projection and mathematical induction are used to obtain its unconditional optimal error estimate in the -norm and superclose estimates