Communications in Nonlinear Science and Numerical Simulation最新文献_第3页

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

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

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

Nonexistence of nontrivial global weak solutions for damping p-Laplacian wave equations with combined nonlinearities 组合非线性阻尼p-拉普拉斯波动方程非平凡整体弱解的不存在性

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.2026.109801

Yinting Liu , Housen Wang , Qiang Liu

引用次数: 0

Analysis and numerical simulations of fractional order model of ring formation due to plant-soil negative feedback 植物-土壤负反馈形成环的分数阶模型分析与数值模拟

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.2026.109820

Zubair Ahmad , Angelamaria Cardone , Francesco Giannino , Gerardo Toraldo

{"title":"Analysis and numerical simulations of fractional order model of ring formation due to plant-soil negative feedback","authors":"Zubair Ahmad , Angelamaria Cardone , Francesco Giannino , Gerardo Toraldo","doi":"10.1016/j.cnsns.2026.109820","DOIUrl":"10.1016/j.cnsns.2026.109820","url":null,"abstract":"<div><div>Vegetation ring formation is a spatial pattern observed in ecosystems influenced by plant-soil negative feedback. Classical integer-order models capture only instantaneous interactions and cannot represent the history-dependent processes shaping these dynamics. To overcome this limitation, we propose a new time-fractional reaction-diffusion problem, that extends the model of Cartenì et al. of 2012 [1], by incorporating memory effects through Caputo derivatives. The system, consisting of coupled fractional partial differential equations (FPDEs) for biomass and toxicity, is analyzed for existence and uniqueness of solutions, equilibrium states, and stability in both homogeneous and heterogeneous cases. Since the analytical solution is not available, a numerical approach has been proposed. The numerical experiments illustrate variations in ring formation throughout time and space. The study covers multiple aspects, such as the influence of the fractional derivation index <em>κ</em> on pattern formation, showing that when <em>κ</em> decreases, the biomass spreads over a larger area with fewer oscillations and amplitudes. Moreover, reducing <em>κ</em> has the effect of slowing down the dynamics, requiring more time to reach the equilibrium points, and causes the ring’s width to expand, which shrinks the internal ring diameter until only disks are visible as <em>κ</em> tends to 0.6.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109820"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134756","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

On the hydrostatic approximation of the micropolar fluid system in a thin strip domain 薄带域微极流体系统的流体静力学近似

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-05 DOI: 10.1016/j.cnsns.2026.109791

Dongxiang Chen, Qian He, Xiaoli Chen

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

Inertial subgradient–extragradient schemes for variational inequalities in 2-uniformly convex spaces 2-一致凸空间中变分不等式的惯性次梯度-外梯度格式

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.2026.109785

Grace Nnennaya Ogwo , Habib ur Rehman , Jen-Chih Yao

引用次数: 0

Disturbance estimator-based tracking control for fractional-order Takagi-Sugeno fuzzy switched control systems 基于扰动估计的分数阶Takagi-Sugeno模糊切换控制系统跟踪控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-05 DOI: 10.1016/j.cnsns.2026.109817

R. Vanitha , T. Satheesh , V.T. Elayabharath , Y. Ren , R. Sakthivel

{"title":"Disturbance estimator-based tracking control for fractional-order Takagi-Sugeno fuzzy switched control systems","authors":"R. Vanitha , T. Satheesh , V.T. Elayabharath , Y. Ren , R. Sakthivel","doi":"10.1016/j.cnsns.2026.109817","DOIUrl":"10.1016/j.cnsns.2026.109817","url":null,"abstract":"<div><div>This article examines the output tracking and disturbance rejection issue of fractional-order Takagi-Sugeno fuzzy switched control systems with state delay, uncertainties, and external disturbance with the assistance of a parallel-equivalent-input-disturbance estimator and a two-dimensional multi-periodic modified repetitive controller. First and foremost, the parallel-equivalent-input-disturbance concept has been laid out with the intention of minimizing the occurrence of disturbance estimation errors, wherein these errors are deemed as artificial disturbances, and an array of equivalent-input-disturbance compensator have been implemented in order to make up for them. Meanwhile, in the framework of proportional integral observer, a variable for relaxation is encompassed, thereby enhancing the precision of the disturbance estimation. Subsequently, by unifying the two-dimensional multi-periodic modified repetitive controller approach with the data gleaned from the proportional integral observer and parallel-equivalent-input-disturbance, cohesive disturbance rejection-based tracking control is built, which ensures effective tracking performance while suppressing the detrimental effects of disturbances on the system. Moreover, in light of Lyapunov stability theory, an adequate set of constraints is derived in terms of linear-matrix inequalities to assure desirable outcomes. Ultimately, numerical simulation results are shown to verify the potency of the offered control scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109817"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134760","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