Communications in Nonlinear Science and Numerical Simulation最新文献

A novel deep neural network with the dynamical moving window data for nonlinear system identification 一种新的具有动态移动窗口数据的非线性系统辨识深度神经网络

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-22 DOI: 10.1016/j.cnsns.2026.109670

Yanjiao Wang, Zhaogui Cai, Muqing Deng

引用次数: 0

Vanishing, balancing and spreading for an impulsive faecal-oral model 消失，平衡和扩散的冲动粪-口模型

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-02 DOI: 10.1016/j.cnsns.2026.109814

Qi Zhou , Zhigui Lin , Carlos Alberto Santos

引用次数: 0

Dynamics of fear effect on a stochastic tritrophic level food chain model with Markov switching 具有马尔可夫切换的随机三营养水平食物链模型的恐惧效应动力学

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-27 DOI: 10.1016/j.cnsns.2026.109798

Yuanyuan Liu, Seifu Neda Tereda, Zhexin Wen

引用次数: 0

Chaos control and stabilization of a hybrid chaotic oscillator through deterministic and stochastic resets 基于确定性和随机重置的混合混沌振荡器混沌控制与镇定

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-28 DOI: 10.1016/j.cnsns.2026.109796

Ulises Chialva , Walter Reartes

{"title":"Chaos control and stabilization of a hybrid chaotic oscillator through deterministic and stochastic resets","authors":"Ulises Chialva , Walter Reartes","doi":"10.1016/j.cnsns.2026.109796","DOIUrl":"10.1016/j.cnsns.2026.109796","url":null,"abstract":"<div><div>We study the control of chaotic dynamics in the hybrid Nakano-Saito oscillator through periodic resetting schemes. In contrast to most existing approaches, which rely on Lyapunov-based constructions or optimization-driven control strategies, we focus on the underlying dynamical mechanisms responsible for the emergence of controlled and uncontrolled regimes. By analyzing the associated impact (return) map, we identify well-defined control windows that give rise to stable periodic solutions and investigate their dependence on the ratio <em>γ</em> between the oscillator’s natural frequency and the control frequency. We provide an analytical proof for the existence of a limit cycle and use this result to characterize the main control windows of the system, revealing distinct bifurcation phenomena that enable different regimes of chaos control within this canonical hybrid framework. Finally, we examine a stochastic resetting protocol governed by an inverse Gaussian distribution and show that it can outperform deterministic control schemes subject to timing jitter, achieving enhanced stabilization. These results demonstrate that classical dynamical systems tools are sufficient to derive precise control conditions and to assess control effectiveness even in stochastic hybrid settings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109796"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Construction and box-counting dimension of the Edelstein hidden variable fractal interpolation function Edelstein隐变量分形插值函数的构造与盒维数

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-24 DOI: 10.1016/j.cnsns.2026.109790

Aiswarya Thekkeettil, Srijanani Anurag Prasad

引用次数: 0

Bifurcation phenomena in dynamical systems with a cosymmetric hidden parameter 具有协对称隐含参数的动力系统的分岔现象

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-02 DOI: 10.1016/j.cnsns.2026.109811

Vasily N. Govorukhin, Vyacheslav G. Tsybulin

{"title":"Bifurcation phenomena in dynamical systems with a cosymmetric hidden parameter","authors":"Vasily N. Govorukhin, Vyacheslav G. Tsybulin","doi":"10.1016/j.cnsns.2026.109811","DOIUrl":"10.1016/j.cnsns.2026.109811","url":null,"abstract":"<div><div>We examine nonlinear dynamical systems that possess curves of equilibria with a changing spectrum of stability along the curve. Nontrivial cosymmetry implies the existence of these invariant objects, characterised by hidden parameters. We analyse analytically and numerically fourth- and sixth-order Galerkin models of Darcy–Lapwood convection that were previously unstudied. Bifurcations of curves of equilibria corresponding to families of convective steady-states are continued along a single physical parameter, the Rayleigh number. Our analysis reveals bifurcation scenarios that involve the birth and death of two-parameter families (hyperplanes) and one-parameter curves of equilibria. We also investigate how the stability spectrum varies due to bifurcations as the cosymmetric hidden parameter changes. Furthermore, we observe topological changes in the phase space structures, including the emergence and destruction of closed equilibrium curves. The systems under consideration demonstrate intriguing bifurcation scenarios and extend knowledge of the variety and intricacy of nonlinear phenomena in dynamical systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109811"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Accelerated linearized alternating direction method of multipliers with Nesterov extrapolation Nesterov外推法乘法器的加速线性化交替方向法

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-07 DOI: 10.1016/j.cnsns.2026.109818

Xin He , Nan-Jing Huang , Ya-Ping Fang

{"title":"Accelerated linearized alternating direction method of multipliers with Nesterov extrapolation","authors":"Xin He , Nan-Jing Huang , Ya-Ping Fang","doi":"10.1016/j.cnsns.2026.109818","DOIUrl":"10.1016/j.cnsns.2026.109818","url":null,"abstract":"<div><div>The alternating direction method of multipliers (ADMM) has been widely used for solving separable convex optimization problems. In this paper, by incorporating Nesterov-type extrapolation techniques, we propose two accelerated linearized ADMM schemes for two-block linearly constrained separable convex optimization problems, where each block of the objective function admits a composite structure consisting of a nonsmooth term and a smooth term. The proposed accelerated linearized ADMMs extend two classical Nesterov acceleration methods originally developed for unconstrained composite optimization to the linearly constrained setting. Under the assumption that one block of the objective function is strongly convex and that the gradients of the smooth components are Lipschitz continuous, we establish non-ergodic convergence rates of <span><math><mrow><mi>O</mi><mo>(</mo><mn>1</mn><mo>/</mo><msup><mi>k</mi><mn>2</mn></msup><mo>)</mo></mrow></math></span>. Moreover, we show that the proposed methods reduce to accelerated linearized augmented Lagrangian methods (ALMs) when applied to one-block linearly constrained convex optimization problems. Numerical experiments are provided to demonstrate the effectiveness and robustness of the proposed algorithms.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109818"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fully distributed secure bipartite containment control for multi-agent systems under sensor faults and external disturbances: Application to UMVs 传感器故障和外部干扰下多智能体系统的完全分布式安全二部遏制控制：在无人驾驶汽车上的应用

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-31 DOI: 10.1016/j.cnsns.2026.109804

Yanjun Zhao , Haibin Sun , Linlin Hou , Dong Yang

{"title":"Fully distributed secure bipartite containment control for multi-agent systems under sensor faults and external disturbances: Application to UMVs","authors":"Yanjun Zhao , Haibin Sun , Linlin Hou , Dong Yang","doi":"10.1016/j.cnsns.2026.109804","DOIUrl":"10.1016/j.cnsns.2026.109804","url":null,"abstract":"<div><div>The study explores a fully distributed secure bipartite containment control strategy utilizing a dynamic event-triggered mechanism (ETM) for multi-agent systems (MASs). The MASs are susceptible to Denial-of-Service (DoS) attacks at the network layer, sensor faults, and external disturbances at the physical layer. An intermediate variable-assisted observer is devised to estimate both the unknown system states and sensor faults concurrently. Furthermore, a decentralized disturbance observer is introduced to estimate the unknown external disturbances. Subsequently, a fully distributed secure control approach is formulated to enable the system to achieve bipartite containment control goals, even under the presence of an insecure network and adverse physical conditions. Moreover, a dynamic ETM is incorporated to optimize the utilization of communication resources, with a rigorous proof of its Zeno-free property. Finally, a simulation involving unmanned marine vehicles (UMVs) is conducted to validate the efficacy of the devised methodology.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109804"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146095739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Variable-order fractional wave equation: Analysis, numerical approximation, and fast algorithm 变阶分数波动方程：分析、数值近似和快速算法

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-23 DOI: 10.1016/j.cnsns.2026.109786

Jinhong Jia , Chuanting Jiang , Yiqun Li , Mengmeng Liu , Wenlin Qiu

{"title":"Variable-order fractional wave equation: Analysis, numerical approximation, and fast algorithm","authors":"Jinhong Jia , Chuanting Jiang , Yiqun Li , Mengmeng Liu , Wenlin Qiu","doi":"10.1016/j.cnsns.2026.109786","DOIUrl":"10.1016/j.cnsns.2026.109786","url":null,"abstract":"<div><div>We investigate a local modification of a variable-order fractional wave equation, which describes the propagation of diffusive wave in viscoelastic media with evolving physical property. We incorporate an equivalent formulation to prove the well-posedness of the model as well as its high order regularity estimates. To accommodate the convolution term in the reformulated model, we adopt the Ritz-Volterra finite element projection and then derive the rigorous error estimate for the fully-discretized finite element scheme. To circumvent the high computational cost from the temporal integral term, we exploit the translational invariance of the discrete coefficients associated with the convolution structure and construct a fast divide-and-conquer algorithm which reduces the computational complexity from <em>O</em>(<em>MN</em><sup>2</sup>) to <em>O</em>(<em>MN</em>ln <sup>2</sup><em>N</em>). Numerical experiments are provided to verify the theoretical results and to demonstrate the accuracy and efficiency of the proposed method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109786"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Unconditionally superconvergent error analysis of an energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator 带波算子非线性Schrödinger方程的能量守恒Galerkin方法的无条件超收敛误差分析

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-29 DOI: 10.1016/j.cnsns.2026.109807

Xin Liao, Lele Wang, Huaijun Yang

{"title":"Unconditionally superconvergent error analysis of an energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator","authors":"Xin Liao, Lele Wang, Huaijun Yang","doi":"10.1016/j.cnsns.2026.109807","DOIUrl":"10.1016/j.cnsns.2026.109807","url":null,"abstract":"<div><div>In this paper, based on the method of order reduction in time, an energy-conservative modified Crank-Nicolson Galerkin scheme is proposed and the unconditionally superconvergent error analysis is investigated for the nonlinear Schrödinger equation with wave operator in two dimensions. The existence and uniqueness of numerical solution are discussed. Unlike the boundedness of numerical solutions in <em>L</em><sup>∞</sup>-norm used in the previous work, the key to our analysis is to novelly employ the boundedness of the numerical solution in <em>H</em><sup>1</sup>-norm derived from the energy-conservative property to deal with the nonlinear term strictly and skillfully. By means of the high accuracy estimate of the bilinear element on the rectangular mesh,the unconditionally superclose error estimate is obtained without any restrictions on the ratio of temporal-spatial step-szie. Furthermore, the unconditionally superconvergence error estimate is acquired by an interpolation post-processing approach. Finally, numerical experiments are carried out to demonstrate the expected accuracy and conservation of proposed schemes.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109807"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0