Communications in Nonlinear Science and Numerical Simulation最新文献_第9页

Distributed impulsive synchronization in reaction-diffusion complex networks of generalized Caputo variable-order fractional systems with short memory 短记忆广义Caputo变阶分数系统反应-扩散复杂网络中的分布脉冲同步

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI: 10.1016/j.cnsns.2025.109313

Fengyi Liu , Guoxing Han , Fei Wang , Yongqing Yang

{"title":"Distributed impulsive synchronization in reaction-diffusion complex networks of generalized Caputo variable-order fractional systems with short memory","authors":"Fengyi Liu , Guoxing Han , Fei Wang , Yongqing Yang","doi":"10.1016/j.cnsns.2025.109313","DOIUrl":"10.1016/j.cnsns.2025.109313","url":null,"abstract":"<div><div>This article primarily investigates the distributed impulsive synchronization problem in generalized Caputo variable-order fractional reaction-diffusion complex networks. Firstly, based on generalized Caputo variable-order fractional calculus and the short memory principles of fractional derivative, a novel fractional-order Halanay-like inequality is established. Secondly, to achieve synchronization, a distributed delayed impulsive control strategy is employed, which considers both the inevitable time delay in the impulsive control process and the coupling behavior of the control network. Furthermore, by designing different error vectors and utilizing the newly derived Halanay-like inequality, along with Lyapunov stability theory and Wirtinger inequality, both mean synchronization and weighted mean synchronization conditions are obtained under the designed control scheme. Finally, a simulation example is provided to verify the correctness of our theoretical results and the effectiveness of the synchronization strategy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109313"},"PeriodicalIF":3.8,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157238","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

Privacy-preserving bipartite flocking of networked agent systems subject to dynamic competitive interactions and random link failures 动态竞争交互和随机链路故障下网络智能体系统的隐私保护二部群集

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI: 10.1016/j.cnsns.2025.109308

Boxian Lin , Weihao Li , Long You , Jiangfeng Yue , Mengji Shi , Kaiyu Qin

{"title":"Privacy-preserving bipartite flocking of networked agent systems subject to dynamic competitive interactions and random link failures","authors":"Boxian Lin , Weihao Li , Long You , Jiangfeng Yue , Mengji Shi , Kaiyu Qin","doi":"10.1016/j.cnsns.2025.109308","DOIUrl":"10.1016/j.cnsns.2025.109308","url":null,"abstract":"<div><div>Flocking refers to the self-organized coordination of agents’ movements, where ensuring privacy protection and managing random link failures are crucial for maintaining secure communication and robust functionality, especially in dynamic and decentralized systems. To satisfy the needs, this paper investigates the secure bipartite flocking control problem for networked agent systems over signed networks, considering eavesdropping attacks and random link failures. The privacy encryption constraint addresses the potential risk of external eavesdroppers gaining access to communication links, which could compromise the entire network, leading to significant information leakage and threatening the security of networked control. To mitigate these risks, a secure distributed control scheme is proposed, utilizing time-varying noise to ensure bipartite flocking behavior while safeguarding the positions and velocities of agents. Based on positional information augmented with noise, a weight function is introduced to dynamically adjust communication edge weights, reflecting variations in interaction strengths with fewer constraints. Furthermore, the algebraic relationship between the probability of random link failures and system stability is established, and the necessary topological conditions for achieving bipartite flocking control are obtained using the convergence method based on infinite products of sub-stochastic matrices. Finally, numerical simulations validate the effectiveness of the proposed secure bipartite flocking control scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109308"},"PeriodicalIF":3.8,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157242","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

Bipartite synchronization for multiplex networks under false data injection attacks via pinning control 伪数据注入攻击下多路网络的双部同步控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI: 10.1016/j.cnsns.2025.109336

Lianlian Ma , Zhengxin Wang , Mei Hong , Cong Zheng , Min Xiao

{"title":"Bipartite synchronization for multiplex networks under false data injection attacks via pinning control","authors":"Lianlian Ma , Zhengxin Wang , Mei Hong , Cong Zheng , Min Xiao","doi":"10.1016/j.cnsns.2025.109336","DOIUrl":"10.1016/j.cnsns.2025.109336","url":null,"abstract":"<div><div>In this paper, the bipartite synchronization problem of leader-follower multiplex networks under false data injection (FDI) attacks is studied via pinning control. The sensor-to-controller channels of followers directly connected to the leader are compromised by FDI attacks. Firstly, followers that are directly connected to the leader in each layer of multiplex networks are controlled to reach bipartite synchronization under FDI attacks. Then, the results are further extended to the multiplex networks, where only the followers in the first few layers that are connected to the leader are controlled. Finally, stochastic FDI attacks are considered. In order to eliminate the influence of FDI attacks, observers and attack compensators are designed. Based on the observer data and compensator data, control strategies are designed and sufficient criteria of bipartite bounded synchronization are obtained. Moreover, stochastic FDI attacks follow Bernoulli distribution. Furthermore, the simulation results verify the effectiveness of the proposed control strategies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109336"},"PeriodicalIF":3.8,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157944","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

Bilateral consistency and vibration control for nonlinear flexible Timoshenko robotic arms in signed directed communication graph with quantized control inputs 带有量化控制输入的非线性柔性Timoshenko机械臂的双向一致性与振动控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI: 10.1016/j.cnsns.2025.109334

Ning Ji , Zeyuan Huang , Jinkun Liu

{"title":"Bilateral consistency and vibration control for nonlinear flexible Timoshenko robotic arms in signed directed communication graph with quantized control inputs","authors":"Ning Ji , Zeyuan Huang , Jinkun Liu","doi":"10.1016/j.cnsns.2025.109334","DOIUrl":"10.1016/j.cnsns.2025.109334","url":null,"abstract":"<div><div>In this paper, bilateral consistency and vibration control are addressed for a multi-agent system comprising flexible Timoshenko robotic arms, operating under a signed directed communication topology. Each flexible manipulator is characterized as a distributed parameter system, with the corresponding models encompassing governing equations formulated through partial differential equations (PDEs) and boundary conditions described by ordinary differential equations (ODEs). Additionally, to efficiently utilize storage space and transmission channel bandwidth, the study delves into signal quantization, and it employs logarithmic quantizers for processing the input signals. By implementing the proposed control scheme on the nonlinear flexible Timoshenko robotic arm multi-agent system, bilateral consistency in joint angles can be achieved, and the simultaneous suppression of both bending deflection and shear deflection can be realized. Ultimately, simulation results are presented to demonstrate the efficacy of the control strategy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109334"},"PeriodicalIF":3.8,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265004","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 gradient-enhanced generalized response sensitivity approach for parameter identification with applications in fractional-order systems 分数阶系统参数辨识的分数阶梯度增强广义响应灵敏度方法及其应用

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-18 DOI: 10.1016/j.cnsns.2025.109349

LuoTang Ye, Yan Mao Chen, Ji Ke Liu, Qi Xian Liu

{"title":"Fractional gradient-enhanced generalized response sensitivity approach for parameter identification with applications in fractional-order systems","authors":"LuoTang Ye, Yan Mao Chen, Ji Ke Liu, Qi Xian Liu","doi":"10.1016/j.cnsns.2025.109349","DOIUrl":"10.1016/j.cnsns.2025.109349","url":null,"abstract":"<div><div>Fractional-order systems have found extensive applications across various fields, making the accurate and efficient estimation of their parameters a critical research focus. Addressing the challenges associated with slow convergence, insufficient precision, and noise sensitivity in fractional-order system parameter estimation, this paper introduces a generalized response sensitivity approach based on fractional-order gradients. The proposed method uniquely utilizes fractional-order operators as adaptive step-size regulators, which enhance the algorithm’s convergence performance. Through rigorous theoretical analysis, the global convergence of the method is established. Numerical experiments demonstrate that, in comparison with conventional parameter estimation approaches, the proposed algorithm improves convergence speed by a factor of 1.5 to 5, while increasing parameter estimation accuracy by 2 to 5 orders of magnitude. Furthermore, the method exhibits robust performance, maintaining stable estimation accuracy under 10% noise conditions. Particularly, in fractional-order time-delay chaotic systems, a class of highly nonlinear systems, it outperforms traditional algorithms, yielding accurate results and strong noise resistance. Specifically, the approach is successfully applied to the estimation of constitutive parameters for polymer-based viscoelastic materials. By analyzing creep experiment data, the method accurately estimates the fractional-order material parameters, offering an efficient and reliable framework for characterizing the mechanical properties of complex materials. This study provides effective methods for the modeling and parameter estimation of fractional-order systems, demonstrating both theoretical contributions and practical significance for engineering applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109349"},"PeriodicalIF":3.8,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145117908","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 class of time-changed Mckean–Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients 一类具有超线性漂移和Hölder扩散系数的时变Mckean-Vlasov随机微分方程

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-18 DOI: 10.1016/j.cnsns.2025.109304

Jun Zhang, Dongxuan Wu, Zhi Li, Liping Xu

引用次数: 0

Coupled vibration characteristics of hybrid gear transmission systems 混合动力齿轮传动系统的耦合振动特性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-17 DOI: 10.1016/j.cnsns.2025.109335

Shuai Mo , Kaihang Deng , Daixin Bai , Bowei Yao , Sujiao Chen , Yurong Huang , Wenai Shi , Nanjiang Peng , Haruo Houjoh , Wei Zhang

{"title":"Coupled vibration characteristics of hybrid gear transmission systems","authors":"Shuai Mo , Kaihang Deng , Daixin Bai , Bowei Yao , Sujiao Chen , Yurong Huang , Wenai Shi , Nanjiang Peng , Haruo Houjoh , Wei Zhang","doi":"10.1016/j.cnsns.2025.109335","DOIUrl":"10.1016/j.cnsns.2025.109335","url":null,"abstract":"<div><div>To explore the coupled dynamic characteristics of the gear transmission mechanism in hybrid vehicle drivetrains, this research incorporates critical factors including time-varying mesh stiffness, dynamic transmission errors, backlash-induced discontinuities, and nonlinear bearing forces. Based on these parameters, a nonlinear dynamic model of a gear-rotor-bearing coupling system incorporating multi-stage gear pairs and rolling bearings was established, and the nonlinear dynamic vibration differential equations for the gear pairs were derived. The Runge-Kutta method was employed to determine the dynamic responses of the system under a wide range of operating conditions. Through bifurcation analysis, time-domain response curves, phase portraits, FFT spectra, and Poincaré sections were generated to reveal the comprehensive characterization of the nonlinear dynamic behavior of the system. Finally, the multi-scale method was applied to investigate the relationships between vibration responses and meshing stiffness, load fluctuations and meshing damping. The results demonstrate that excitation frequency significantly affects vibration characteristics, and selecting optimal excitation frequencies can effectively reduce vibrations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109335"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145117904","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

Non-fragile $H_{infty}$ state estimation for Markovian jumping singularly perturbed CVNs with missing measurements: An event-triggered strategy 缺失测量的马尔可夫跳变奇摄动CVNs的非脆弱$H_{infty}$状态估计：一种事件触发策略

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-17 DOI: 10.1016/j.cnsns.2025.109294

Kaisheng Zhang , Qiang Li , Yangang Yao , Jinling Wang , Yuanshi Zheng

{"title":"Non-fragile $H_{infty}$ state estimation for Markovian jumping singularly perturbed CVNs with missing measurements: An event-triggered strategy","authors":"Kaisheng Zhang , Qiang Li , Yangang Yao , Jinling Wang , Yuanshi Zheng","doi":"10.1016/j.cnsns.2025.109294","DOIUrl":"10.1016/j.cnsns.2025.109294","url":null,"abstract":"<div><div>This article addresses the non-fragile <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> state estimation problem for Markovian jumping singularly perturbed complex-valued networks (CVNs) with missing measurements. Firstly, a continuous-time stochastic CVN model is established, and a singular perturbation parameter is introduced to describe the common fast and slow dynamics of the presented system. Besides, to enhance communication efficiency and save network resources, a feasible event-triggered strategy is designed to handle missing data and ensure the robustness of the proposed state estimator. Furthermore, a novel Lyapunov-Krasovskii functional is constructed, which takes into account the singular perturbation parameter and Markovian switching modes. By resulting to Lyapunov stability theory and complex-valued matrix inequalities, several sufficient and convictive conditions are addressed to ensure derived that estimation error system can realize global asymptotic mean-square stability. In addition, the desired estimator gain matrices can be obtained by resolving a collection of matrix inequalities, and the robustness of the estimator against perturbations is also assessed. In the end of this paper, one numerical example with simulation is presented to verify effectiveness and reasonability of achieved theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109294"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145117905","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 novel micro-vibration model for control moment gyros to predict nonlinear contact characteristics of high-speed bearings considering a soft mounted configuration 考虑软安装结构的控制力矩陀螺微振动模型预测高速轴承的非线性接触特性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-17 DOI: 10.1016/j.cnsns.2025.109333

Miao Xue, Jianghai Miao, Wei Pu

{"title":"A novel micro-vibration model for control moment gyros to predict nonlinear contact characteristics of high-speed bearings considering a soft mounted configuration","authors":"Miao Xue, Jianghai Miao, Wei Pu","doi":"10.1016/j.cnsns.2025.109333","DOIUrl":"10.1016/j.cnsns.2025.109333","url":null,"abstract":"<div><div>The installation of isolation platforms is essential for mitigating micro-vibrations in control moment gyroscopes (CMGs) and enhancing the manoeuvre performance of agile satellites. High-speed bearings within CMGs are particularly susceptible to failure under varying speeds and dynamic loads. It is crucial to investigate the contact behavior of bearings and the coupling mechanisms of the micro-vibration in a CMG-isolation platform system. This study proposes a micro-vibration model of a single-gimbal CMG-isolation platform with six degrees-of-freedom and analyzes the contact behavior of high-speed bearings. Experimental tests are conducted to validate the accuracy of the dynamical model. The characteristics of the rotor micro-vibration, support forces and moments of high-speed bearings, and contacting behavior of the rolling balls are discussed. The micro-vibrations and support forces and moments can be effectively reduced in the soft mounted configuration. Nonlinear contact forces between the rolling balls and raceways fluctuate significantly leading to a suppression of the high-order harmonic components of rotor micro-vibration when the gimbal rotates at a low speed. This study provides novel insights into the mechanisms of the micro-vibration in CMGs and the model can be applied for reasonable structural optimizations and designs of different kinds of CMG-isolation systems to improve their performance and reliability.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109333"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145134647","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

Competing dynamics of an inextensible beam: Inertial vs. geometric nonlinearities 不可扩展梁的竞争动力学：惯性与几何非线性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-17 DOI: 10.1016/j.cnsns.2025.109310

Yasai Nie , Tieding Guo , Fangyan Lan

引用次数: 0