Communications in Nonlinear Science and Numerical Simulation最新文献_第6页

Dynamics of multiple higher-order pole solutions of a two-component Sasa-Satsuma equation based on Riemann–Hilbert approach and PINN algorithm 基于Riemann-Hilbert方法和PINN算法的双分量Sasa-Satsuma方程多高阶极点解动力学

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109346

Xiaodan Zhao , Liuyi Pan , Lei Wang , Nan Liu

{"title":"Dynamics of multiple higher-order pole solutions of a two-component Sasa-Satsuma equation based on Riemann–Hilbert approach and PINN algorithm","authors":"Xiaodan Zhao , Liuyi Pan , Lei Wang , Nan Liu","doi":"10.1016/j.cnsns.2025.109346","DOIUrl":"10.1016/j.cnsns.2025.109346","url":null,"abstract":"<div><div>Using the inverse scattering transform, we systematically present a Riemann–Hilbert (RH) approach to the Cauchy problem for a two-component Sasa–Satsuma equation with zero boundary conditions as <span><math><mrow><mo>|</mo><mi>x</mi><mo>|</mo><mo>→</mo><mi>∞</mi></mrow></math></span>. The direct scattering problem establishes the analyticity, symmetries of the Jost solutions and scattering matrix, and particularly, a detailed analysis of the discrete spectrum in the presence of multiple higher-order zeros of the determinant of analytic scattering coefficient. The inverse scattering problem is addressed through a corresponding <span><math><mrow><mn>4</mn><mo>×</mo><mn>4</mn></mrow></math></span> matrix-valued RH problem associated with the residual conditions of these higher-order poles. The reconstruction formula for the solution is derived. Then, under reflectionless conditions, we settle the RH problem which can be transformed into a linear algebraic system, and obtain the formula of multiple higher-order pole solutions to the two-component Sasa–Satsuma equation. Subsequently, we employed the data obtained through the RH method to train the physics-informed neural network (PINN) and an improved version of PINN, enabling us to derive various types of data-driven solutions for the two-component Sasa–Satsuma equation. The results demonstrate that the algorithm shows outstanding training performance for both one-soliton and two-soliton solutions, as well as for more complex second-order and third-order pole solutions. Finally, we explore the data-driven parameters discovery problem in the context of one-soliton solution using the PINN algorithm. These findings highlight the robustness of the PINN framework in handling complex nonlinear equations and its potential for applications in various fields, including fluid dynamics and optical communications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109346"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157246","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

Vortices to mass-subcritical Schrödinger equations 质量亚临界涡旋Schrödinger方程

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109344

Wei Long, Shuyao Lu

引用次数: 0

Boundary stabilization for a nonlinear flexible beam under an adaptive fractional-order proportional-integral control 自适应分数阶比例积分控制下非线性柔性梁的边界稳定

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109352

Cuiying Li , Xin Wang , Yi Cheng , Donal O’Regan

引用次数: 0

Fault-tolerant security control for switched systems via learning observer and DoS attacks 基于学习观测器和DoS攻击的交换系统容错安全控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109357

Qilong Xie , Bin Zhang , Jun Cheng , Dan Zhang , Wenhai Qi

{"title":"Fault-tolerant security control for switched systems via learning observer and DoS attacks","authors":"Qilong Xie , Bin Zhang , Jun Cheng , Dan Zhang , Wenhai Qi","doi":"10.1016/j.cnsns.2025.109357","DOIUrl":"10.1016/j.cnsns.2025.109357","url":null,"abstract":"<div><div>This paper addresses the critical issue of security control for switched systems in the presence of denial-of-service (DoS) attacks and actuator faults. Traditional methods for handling such systems often face challenges in accurately determining transition probabilities and maintaining system stability under non-periodic DoS attacks. To tackle these issues, this paper proposes a novel switching rule that integrates dwell time and sojourn probabilities, significantly simplifying the determination of transition probabilities and reducing computational complexity. Additionally, an adaptive event-triggering mechanism is adopted to mitigate communication overhead while maintaining system control efficiency. A learning-based observer is implemented to accurately estimate non-differentiable fault functions, thereby enhancing the system’s resilience against external disturbances and component failures. Comprehensive simulations validate the effectiveness of the proposed methods, demonstrating improved system stability and reduced communication burdens under adverse conditions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109357"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157231","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 framework for time series recognition and classification based on dispersion transition networks 基于色散转移网络的时间序列识别与分类新框架

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109353

Boyi Zhang , Jing Wang , Bin Wang , Zelin Luo , Weifan Wang , Yongming Yao , Pengjian Shang

{"title":"A novel framework for time series recognition and classification based on dispersion transition networks","authors":"Boyi Zhang , Jing Wang , Bin Wang , Zelin Luo , Weifan Wang , Yongming Yao , Pengjian Shang","doi":"10.1016/j.cnsns.2025.109353","DOIUrl":"10.1016/j.cnsns.2025.109353","url":null,"abstract":"<div><div>The use of complex network for nonlinear analysis of time series has attracted increasing attention, among which, ordinal networks have been widely studied for their simplicity and computational efficiency. However, existing ordinal network methodologies exhibit two limitations: 1) inadequate handling of equal values in time series discretization, 2) neglect of some amplitude information. They potentially compromising the characterization of complex systems. To address these limitations, this paper proposes a dispersion transition network framework, which includes node-wise entropy and Wasserstein entropy curve based on the dynamic transition information and Wasserstein distance, to identify the properties of systems. The introduction of Wasserstein distance improves the stability and comprehensiveness of the information extracted from the probability distribution. The node-wise entropy and entropy curve are local metric and global metric, respectively. Numerical results show that the framework have a strong ability to distinguish signals with different dynamics and can show the variation of system properties with parameters. In the empirical application, the proposed methods can be applied to financial data classification without complex preprocessing. We also apply these methods to railway corrugation detection and compare them with other nine dimensionality reduction methods. The most satisfactory classification results are obtained by the proposed methods. The entropy curve can also be combined with multidimensional scaling for physiological time series classification.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109353"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157938","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

Unified transition scheme for invariant tori across various models in the cislunar domain 顺月域不同模型间不变环面的统一转换方案

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI: 10.1016/j.cnsns.2025.109323

Rohith Reddy Sanaga, Beom Park, Kathleen C. Howell

{"title":"Unified transition scheme for invariant tori across various models in the cislunar domain","authors":"Rohith Reddy Sanaga, Beom Park, Kathleen C. Howell","doi":"10.1016/j.cnsns.2025.109323","DOIUrl":"10.1016/j.cnsns.2025.109323","url":null,"abstract":"<div><div>The invariant tori supply a fundamental basis for examining cislunar dynamics, offering options for long-term baseline solutions and a deeper understanding of the global phase space. While models of varying fidelity are leveraged to characterize these invariant tori within cislunar space, continued efforts are required to investigate the evolution of these structures from lower-fidelity models to their higher-fidelity counterparts. The current investigation focuses on periodic orbits within the Earth-Moon Circular Restricted Three-Body Problem (CR3BP) and their analogs in Periodically Forced Models (PFMs) and the Higher-Fidelity Ephemeris Model (HFEM). In particular, this work leverages a unified numerical framework, termed the Unified Transition Scheme (UTS), to facilitate the numerical construction of the analogs across various models. Within the UTS, homotopy strategies with flexibilities in continuation directions are incorporated. This adaptability supplies reliable methods for characterizing invariant tori across models of evolving fidelity and addresses known challenges, e.g., broken bifurcations. Numerical examples, including the analysis of L<span><math><msub><mrow></mrow><mn>2</mn></msub></math></span> halo orbits, illustrate the effectiveness of the proposed approach and highlight its potential to advance cislunar mission design and analysis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109323"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157932","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 cluster scaled consensus for multi-agent systems with only cooperative communication 仅具有协作通信的多智能体系统的固定时间集群规模一致性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-21 DOI: 10.1016/j.cnsns.2025.109319

Xiaohan Wang , Zhiyong Yu , Haijun Jiang

{"title":"Fixed-time cluster scaled consensus for multi-agent systems with only cooperative communication","authors":"Xiaohan Wang , Zhiyong Yu , Haijun Jiang","doi":"10.1016/j.cnsns.2025.109319","DOIUrl":"10.1016/j.cnsns.2025.109319","url":null,"abstract":"<div><div>This paper investigates the distributed fixed-time cluster scaled consensus problem of multi-agent systems (MASs). Unlike the existing literature on cluster consensus, which posits a scenario where both competition and cooperation coexist among clusters, we consider a fully cooperative relationship between any two distinct agents. Initially, we explore the scaled consensus of MASs with two clusters and propose a distributed control protocol. By utilizing fixed-time stability theory, some conditions are obtained for MASs achieving cluster scaled consensus within a fixed-time. We then extend our analysis to the case involving multiple clusters and provide a general control protocol. Furthermore, we prove that the MASs composed of multiple clusters can also achieve cluster scaled consensus within a fixed-time. Building upon this, to reduce the communication frequency, an event-triggered protocol is introduced for MASs with multiple clusters, ensuring the avoidance of Zeno behavior. Finally, several numerical simulations are provided to validate the effectiveness of our theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109319"},"PeriodicalIF":3.8,"publicationDate":"2025-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157244","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

Modeling and stabilization of multi-layer Boolean networks under pinning control 钉钉控制下多层布尔网络的建模与镇定

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-21 DOI: 10.1016/j.cnsns.2025.109309

Fukun Liu , Jie Zhong , Chao Luo , Lunshi Xu , Hao Zhang

引用次数: 0

Fault detection and adaptive event-triggered consensus for LPV multi-agent systems with fading channels 带衰落信道的LPV多智能体系统故障检测与自适应事件触发一致性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-20 DOI: 10.1016/j.cnsns.2025.109314

Shanglin Li , Wanze Li , Yangzhou Chen , Peter Xiaoping Liu

{"title":"Fault detection and adaptive event-triggered consensus for LPV multi-agent systems with fading channels","authors":"Shanglin Li , Wanze Li , Yangzhou Chen , Peter Xiaoping Liu","doi":"10.1016/j.cnsns.2025.109314","DOIUrl":"10.1016/j.cnsns.2025.109314","url":null,"abstract":"<div><div>This paper makes a comprehensive investigation on fault detection and adaptive event-triggered consensus for linear parameter-varying multi-agent systems with fading channels. A polytopic linear parameter-varying representation is employed to model the time-varying dynamic behavior of the multi-agent system. Additionally, unreliable wireless communication channels among agents are characterized through the Rice fading framework. A fault detection observer is developed using a combined <span><math><mrow><msub><mi>H</mi><mi>∞</mi></msub><mo>/</mo><msub><mi>H</mi><mo>−</mo></msub></mrow></math></span> approach to generate residual signals sensitive to faults while robust against disturbances. Furthermore, an adaptive event-triggered consensus protocol is proposed to reduce communication overhead while maintaining consensus performance. The event-triggered mechanism can dynamically adjust the triggering threshold based on the changing states. Fault detection capability and consensus performance are analyzed by applying parameter-dependent Lyapunov functions, resulting in sufficient conditions expressed as linear matrix inequalities (LMIs). In the end, simulation results are included to show the validity and superiority of the proposed methodology.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109314"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157740","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

Delayed feedback control for the consensus and average quasi-consensus of delayed multi-agent systems 时滞多智能体系统的一致性和平均准一致性的延迟反馈控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-20 DOI: 10.1016/j.cnsns.2025.109321

Qiang Fu, Xiaohuan Wang

引用次数: 0