Communications in Nonlinear Science and Numerical Simulation最新文献

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Analysis of a fast fully discrete finite element method for fractional viscoelastic wave propagation 分数阶粘弹性波传播的快速全离散有限元分析
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-25 DOI: 10.1016/j.cnsns.2025.109361
Hao Yuan, Xiaoping Xie
{"title":"Analysis of a fast fully discrete finite element method for fractional viscoelastic wave propagation","authors":"Hao Yuan,&nbsp;Xiaoping Xie","doi":"10.1016/j.cnsns.2025.109361","DOIUrl":"10.1016/j.cnsns.2025.109361","url":null,"abstract":"<div><div>This paper is devoted to a numerical analysis of a fractional viscoelastic wave propagation model that generalizes the fractional Maxwell model and the fractional Zener model. First, we convert the model problem into a velocity type integro-differential equation and establish existence, uniqueness and regularity of its solution. Then we consider a conforming linear/bilinear/trilinear finite element semi-discrete scheme and a fast scheme of backward Euler full discretization with a sum-of-exponentials (SOE) approximation for the convolution integral, and derive error estimates for the semi-discrete and fully discrete schemes. Finally, we provide several numerical examples to verify the theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109361"},"PeriodicalIF":3.8,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220164","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
Fractional-order euler wavelet technique for multidimensional distributed-order optimal control problem 分数阶欧拉小波技术在多维分布阶最优控制中的应用
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-24 DOI: 10.1016/j.cnsns.2025.109316
Akanksha Singh, Ankur Kanaujiya, Jugal Mohapatra
{"title":"Fractional-order euler wavelet technique for multidimensional distributed-order optimal control problem","authors":"Akanksha Singh,&nbsp;Ankur Kanaujiya,&nbsp;Jugal Mohapatra","doi":"10.1016/j.cnsns.2025.109316","DOIUrl":"10.1016/j.cnsns.2025.109316","url":null,"abstract":"<div><div>This manuscript extends two-dimensional distributed-order optimal control problems into multidimensional distributed-order optimal control problems and solves them using the fractional-order Euler wavelets approach. The necessary and sufficient conditions for optimality are derived. The method entails transforming the optimal control problem into a system of algebraic equations using Riemann-Liouville distributed-order operational matrices and Newton-Cotes collocation points. The Lagrange multiplier method solves these equations and gets the optimized value. The manuscript also establishes the convergence analysis and error bounds. Several examples are examined to demonstrate the high precision of the numerical method and also show rationality and validity through real-life problems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109316"},"PeriodicalIF":3.8,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219437","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
Numerical simulation of synchronous flapping and twisting oscillations to enhance aerodynamic performance of wing 提高机翼气动性能的同步扑动和扭转振荡数值模拟
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-24 DOI: 10.1016/j.cnsns.2025.109358
Waleed Khalid , Nazar Ismailov , Innokentiy Kastalskiy , Victor B. Kazantsev
{"title":"Numerical simulation of synchronous flapping and twisting oscillations to enhance aerodynamic performance of wing","authors":"Waleed Khalid ,&nbsp;Nazar Ismailov ,&nbsp;Innokentiy Kastalskiy ,&nbsp;Victor B. Kazantsev","doi":"10.1016/j.cnsns.2025.109358","DOIUrl":"10.1016/j.cnsns.2025.109358","url":null,"abstract":"<div><div>The primary objective of this study is to design and optimize the wing to improve its aerodynamic performance. Three-dimensional, transient, incompressible, and turbulent flow is considered for simulations. To develop a mechanical model of the wing, this study used a combination of mathematical and numerical modeling techniques. The Navier-Stokes equations with the effects of gravity are applied and the finite-volume method (FVM) is used to solve the problem. This research aims to simulate the dynamics of the wings using dynamic grid methods. Consequently, the wing is allowed to flap and twist at varying angles to determine its aerodynamic parameters. It is postulated that the linear motion of the wing is zero, whereas its angular motion is taken into account. The analysis comprises both the flapping angle, which describes the oscillation, and the twisting angle, which characterizes the twisting motion of the wing. The results show a high degree of agreement with previous work.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109358"},"PeriodicalIF":3.8,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219358","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
Delay-compensatory-based event-triggering impulsive control on uncertain chaotic neural networks via average delayed impulsive gains 基于延迟补偿的不确定混沌神经网络平均延迟脉冲增益事件触发脉冲控制
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-23 DOI: 10.1016/j.cnsns.2025.109311
Ziqing Geng , Dong Ding , Ze Tang , Jianwen Feng
{"title":"Delay-compensatory-based event-triggering impulsive control on uncertain chaotic neural networks via average delayed impulsive gains","authors":"Ziqing Geng ,&nbsp;Dong Ding ,&nbsp;Ze Tang ,&nbsp;Jianwen Feng","doi":"10.1016/j.cnsns.2025.109311","DOIUrl":"10.1016/j.cnsns.2025.109311","url":null,"abstract":"<div><div>This article investigates the exponential synchronization problem of chaotic neural networks (NNs) subject to time-varying delays and parametric uncertainty in conjunction with the event-triggering hybrid impulsive control method and delay compensatory strategy. In view of the limited available communication resources, the event-triggering delayed impulsive control (ETDIC) strategy which effectively incorporates the merits of both event-triggering protocol and delayed impulsive control is formulated. Meanwhile, the concept of average delayed impulsive gains (ADIG) and extended comparison principle are developed to solve the challenges posed by the time-varying gains and flexible delays in the impulsive controller, which not only diminish the constraints on time delay but also suggest that the delay could compensate for the desynchronizing delayed impulses dynamics. Together with the parameter variation formula method and the delay compensatory scheme, sufficient relaxed conditions for exponential synchronization are derived. Furthermore, the convergence rate is precisely estimated and the Zeno behavior is eliminated. Finally, a numerical example is presented along with some comparisons to validate the theoretical analysis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109311"},"PeriodicalIF":3.8,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157933","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
Two double direction methods for convex-constrained nonlinear monotone equations with image recovery of Spherical Parts 带球面零件图像恢复的凸约束非线性单调方程的两种双方向方法
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-23 DOI: 10.1016/j.cnsns.2025.109315
Muhammad Abdullahi , Abubakar Sani Halilu , Kejia Pan , Auwal Abubakar Bala
{"title":"Two double direction methods for convex-constrained nonlinear monotone equations with image recovery of Spherical Parts","authors":"Muhammad Abdullahi ,&nbsp;Abubakar Sani Halilu ,&nbsp;Kejia Pan ,&nbsp;Auwal Abubakar Bala","doi":"10.1016/j.cnsns.2025.109315","DOIUrl":"10.1016/j.cnsns.2025.109315","url":null,"abstract":"<div><div>The recent emphasis on image restoration is largely due to its importance in engineering and scientific fields. This paper introduces two effective double-direction convex-constrained approaches to address large-scale monotone nonlinear equations to recover the imaging of spherical parts. The first method utilizes the difference between Broyden’s update and its approximation using the Frobenius norm to derive an acceleration parameter, while the second approach incorporates a correction parameter through a Picard-Mann hybrid iterative procedure in its search direction. We prove the descent condition of the approaches and establish the global convergence and R-linear convergence rate of both methods under certain favorable conditions. Numerical simulations demonstrate that our approach significantly boosts the numerical performance of the proposed algorithms. We show that the test function used satisfied uniformly monotonicity conditions. Furthermore, the method has been successfully applied to restore blurred images of spherical parts, showcasing its practical relevance in mechanical engineering.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109315"},"PeriodicalIF":3.8,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157937","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
A dual asynchronous impulsive neuro-adaptive control framework for multiagent systems with multiple uncertainties 多不确定性多智能体系统的双异步脉冲神经自适应控制框架
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109339
Yiyan Han , Yuan Li , Hongfei Li , Chongyang Chen , Chuandong Li
{"title":"A dual asynchronous impulsive neuro-adaptive control framework for multiagent systems with multiple uncertainties","authors":"Yiyan Han ,&nbsp;Yuan Li ,&nbsp;Hongfei Li ,&nbsp;Chongyang Chen ,&nbsp;Chuandong Li","doi":"10.1016/j.cnsns.2025.109339","DOIUrl":"10.1016/j.cnsns.2025.109339","url":null,"abstract":"<div><div>This paper studies the tracking consensus of multiagent systems in an asynchronous impulsive control framework with multiple uncertainties including dynamics uncertainty, unknown loss of effectiveness of communication, partial immeasurable states and unknown leader input. Such framework has flexibility of control design and requires low communication resources, but difficulty appears since the uncertainties are divided into two types as continuous-time and non-continuous-time uncertainties due to their affection in time scales, which cannot be addressed by a general method. Observers and compensators based on the adaptive learning of neural networks (NNs) are designed to handle the continuous-time uncertainties while an asynchronous impulsive adaptive mechanism is proposed to handle the non-continuous-time uncertainties. The updating instants of adaptive parameters can be different from the asynchronous impulsive control instants, which together form a dual asynchronous impulsive adaptive control framework. The convergence analysis of observers, adaptive parameters and NNs are made firstly. Then, concise sufficient conditions of the tracking consensus are derived by a flexible analysis in a general case while a reduced case with improvement is also introduced to show the flexibility of such method. Finally, numerical examples including simulations and comparison are presented.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109339"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157936","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
Fixed-time disturbance observer based adaptive super-twisting sliding mode single-loop control of PMSM drives with variable gains 基于固定时间扰动观测器的变增益永磁同步电机自适应超扭滑模单环控制
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109355
Yongzhi Chen , Xudong Liu
{"title":"Fixed-time disturbance observer based adaptive super-twisting sliding mode single-loop control of PMSM drives with variable gains","authors":"Yongzhi Chen ,&nbsp;Xudong Liu","doi":"10.1016/j.cnsns.2025.109355","DOIUrl":"10.1016/j.cnsns.2025.109355","url":null,"abstract":"<div><div>Aiming at improving the speed control performance of permanent magnet synchronous motors (PMSMs) considering lumped disturbances and overcurrent protection, a novel adaptive super-twisting sliding mode control (ASTSMC) strategy based on fixed-time disturbance observer (FTDO) is proposed in this paper. Firstly, to achieve fast speed tracking and current constraint, the equivalent model considering the q-axial current constraints is established. Secondly, a new adaptive super-twisting sliding mode single-loop controller with variable gains is proposed. The convergence speed is accelerated, and the transient performance is improved. Meanwhile, to improve the robustness against the external disturbances and parameter uncertainties, a fixed-time disturbance observer is firstly applied to estimate the lumped disturbances for the single-loop control of PMSM. Subsequently, based on the Lyapunov theory, the stability of the control system is analyzed, and the convergence time is calculated. Finally, the superiority and effectiveness of the proposed control scheme are verified through a series of comparative experiments.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109355"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157941","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
Predefined time synchronization of fractional order chaotic system via sliding mode control 分数阶混沌系统的滑模控制时间同步
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109332
Feng-Xian Wang , Jun-Qi Cui , Rui-Dong Chen , Xin-Ge Liu
{"title":"Predefined time synchronization of fractional order chaotic system via sliding mode control","authors":"Feng-Xian Wang ,&nbsp;Jun-Qi Cui ,&nbsp;Rui-Dong Chen ,&nbsp;Xin-Ge Liu","doi":"10.1016/j.cnsns.2025.109332","DOIUrl":"10.1016/j.cnsns.2025.109332","url":null,"abstract":"<div><div>In this paper, the predefined time sliding mode control of Caputo fractional order chaotic systems is investigated. A novel Lyapunov sufficient condition for predefined time stability is presented, and an improved fractional order non-singular sliding mode surface is designed to weaken the restriction that the parameter <span><math><mi>γ</mi></math></span> must be positive odd. It is demonstrated that the degrees of freedom of the parameters associated with the sliding mode surface are increased. Then, an improved predefined time sliding mode controller is designed. This controller ensures the synchronization of the fractional order chaotic system within a predefined time interval by adjusting the predefined time <span><math><msub><mi>T</mi><mi>p</mi></msub></math></span>. An examination of the predefined time sliding mode synchronization control of fractional order Chua’s circuits is also conducted. Finally, the efficacy of the proposed controller is substantiated through numerical simulations, and a comparative analysis is conducted with existing predefined time controllers to assess its robustness and wide applicability.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109332"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157942","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
Hybrid-triggered based non-fragile control for consensus of nonlinear multi-agent cyber-physical systems with incremental quadratic constraints and denial-of-service attacks 基于混合触发的增量二次约束和拒绝服务攻击非线性多智能体网络物理系统一致性非脆弱控制
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109326
Soundararajan Keerthna , Natarajan Sakthivel , Jehad Alzabut
{"title":"Hybrid-triggered based non-fragile control for consensus of nonlinear multi-agent cyber-physical systems with incremental quadratic constraints and denial-of-service attacks","authors":"Soundararajan Keerthna ,&nbsp;Natarajan Sakthivel ,&nbsp;Jehad Alzabut","doi":"10.1016/j.cnsns.2025.109326","DOIUrl":"10.1016/j.cnsns.2025.109326","url":null,"abstract":"<div><div>This paper scrutinizes the consensus problem of nonlinear multi-agent cyber-physical systems through hybrid-triggered control. Initially, the nonlinearities of multi-agent cyber-physical systems are employed with incremental quadratic constraints, which are represented by incremental quadratic matrices. It is to be noted that hybrid-triggered technique switches between time-triggered and event-triggered protocols in order to efficiently reduce the network bandwidth load. Further, with the aim of providing a resilient and secure communication, the control is formulated with gain fluctuations and the effects of cyber attacks such as denial-of-service attacks. By exploiting an appropriate Lyapunov-Krasovskii functional (LKF) and utilizing Peng-Park integral inequality, adequate conditions are acquired in terms of linear matrix inequalities (LMIs). Eventually, the efficacy of theoretical findings are illustrated with numerical simulations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109326"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181262","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
The Sun-Earth heteroclinics in restricted four-body non-autonomous models 受限四体非自治模型中的太阳-地球异斜
IF 3.8 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109356
Ruilong Li , Josep J. Masdemont , Zhanxia Zhu , Chen Gao
{"title":"The Sun-Earth heteroclinics in restricted four-body non-autonomous models","authors":"Ruilong Li ,&nbsp;Josep J. Masdemont ,&nbsp;Zhanxia Zhu ,&nbsp;Chen Gao","doi":"10.1016/j.cnsns.2025.109356","DOIUrl":"10.1016/j.cnsns.2025.109356","url":null,"abstract":"<div><div>This paper presents a combination of analytical and numerical techniques for computing natural heteroclinic connections between Sun–Earth quasi-periodic libration point orbits in non-autonomous restricted four-body models. Focusing on the QBCP problem, we address several computational challenges arising from the system’s periodic time-dependence and close encounters with the primaries. We introduce the concept of mean curve to approximate quasi-Lyapunov orbits and their associated invariant manifolds, providing effective initial guesses for refinement and continuation procedures. This approach remains robust despite difficulties caused by phasing conditions and Moon perturbations. The resulting analysis characterizes the topology and families of planar connections using two physical parameters.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109356"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157945","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
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