Communications in Nonlinear Science and Numerical Simulation最新文献

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Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108713
Oskar A. Sultanov
{"title":"Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise","authors":"Oskar A. Sultanov","doi":"10.1016/j.cnsns.2025.108713","DOIUrl":"10.1016/j.cnsns.2025.108713","url":null,"abstract":"<div><div>The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially with time, and its frequency grows according to a power low. Resonant solutions with a growing amplitude and phase, synchronized with the excitation, are considered. The persistence of such a regime in the presence of stochastic perturbations is discussed. In particular, conditions are described that guarantee the stochastic stability of the resonant modes on infinite or asymptotically large time intervals. The technique used is based on a combination of the averaging method, stability analysis and construction of stochastic Lyapunov functions. The proposed theory is applied to the Duffing oscillator with a chirped-frequency excitation and noise.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108713"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507506","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
‘Input disturbance’-based distributed event-triggered secure control for MAS under DoS attacks: Switching mode strategy
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108692
Longjie Song , Yuanjian Liu , Wenfei Liu , Zhengxin Wang
{"title":"‘Input disturbance’-based distributed event-triggered secure control for MAS under DoS attacks: Switching mode strategy","authors":"Longjie Song ,&nbsp;Yuanjian Liu ,&nbsp;Wenfei Liu ,&nbsp;Zhengxin Wang","doi":"10.1016/j.cnsns.2025.108692","DOIUrl":"10.1016/j.cnsns.2025.108692","url":null,"abstract":"<div><div>This paper investigates the event-triggered consensus control of deterministic nonlinear multi-agent systems (MASs) within the context of Denial-of-Service (DoS) attacks. In such adversarial scenarios, malicious attackers possess the potential to pilfer sensitive data by effectively distracting the security apparatus via DoS attacks. Although the consensus problem of MASs under DoS attacks has been the subject of extensive academic scrutiny, previous research endeavors predominantly presume that the overarching aim of DoS attacker is to precipitate a system-wide collapse. Nevertheless, little research has been dedicated to the scenario where attackers might be motivated by the objective of data extraction. To overcome this obstacle, this paper proposes a distributed event-triggered control mechanism predicated on the’input-disturbance’ methodology for well-defined nonlinear MASs, further employing a switching-mode strategy to enhance the flexibility of the mechanism. Moreover, in cognizance of the latency inherent in the system’s response dynamics, the proposed mechanism accommodates a bounded time-delay during mode-transition upon the detection of the initiation or cessation of a DoS attack. Through the application of Lyapunov methodologies and matrix theoretic constructs, a suite of sufficient conditions is deduced to ensure the consensus of MASs suffered from DoS attacks. Ultimately, a comprehensive simulation example and comparative analysis are presented to verify the validity and efficiency of the proposed mechanism.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108692"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487656","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
Mean-square finite and prescribed-time stability for nonlinear stochastic parabolic distributed parameter systems
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108688
Xisheng Dai , Yang Xu , Feiqi Deng
{"title":"Mean-square finite and prescribed-time stability for nonlinear stochastic parabolic distributed parameter systems","authors":"Xisheng Dai ,&nbsp;Yang Xu ,&nbsp;Feiqi Deng","doi":"10.1016/j.cnsns.2025.108688","DOIUrl":"10.1016/j.cnsns.2025.108688","url":null,"abstract":"<div><div>In this paper, the mean-square finite-time stability (MSFTS) and mean-square prescribed-time stability (MSPTS) of a class of nonlinear stochastic parabolic distributed parameter systems are studied. An internal dynamic variable is introduced to design dynamic periodic event-triggered mechanism (DPETM) for FTS. Moreover, a new prescribed-time DPETM is proposed by combining two different adjustment functions to reduce the update frequency of the controller. Based on designing distributed controllers, the sufficient conditions for the closed-loop system’s MSFTS and MSPTS are provided in the form of linear matrix inequalities (LMIs), respectively. Here, the Lyapunov–Krasovskii functional method, integral inequality, and L’Hospital’s rule are used. Finally, two numerical examples verify the effectiveness of the proposed finite-time and prescribed-time control algorithms.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108688"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487667","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
Bifurcation analysis and control in a second-order DC–AC inverter with quasi-PIR controller
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108702
Ronghua Wu , Xiaohong Zhang , Wei Jiang , Shaojiang Zhong
{"title":"Bifurcation analysis and control in a second-order DC–AC inverter with quasi-PIR controller","authors":"Ronghua Wu ,&nbsp;Xiaohong Zhang ,&nbsp;Wei Jiang ,&nbsp;Shaojiang Zhong","doi":"10.1016/j.cnsns.2025.108702","DOIUrl":"10.1016/j.cnsns.2025.108702","url":null,"abstract":"<div><div>The evolution of complex dynamics in the second-order inverter with quasi-proportional integral resonance (PIR) controller is analyzed detailly in this paper, it is revealed that this inverter’s state changes not only from period-1 to chaos via period-doubling bifurcation, but also from stability to low-frequency oscillation via Hopf bifurcation, which will decrease the working life of the inverter. On the basis of this discovery, a logarithmic proportional time-delay feedback control strategy is proposed. The controlled object’s output current first subtracts to its own delay a period of time to form a difference term, which is subsequently fed into a proportional link to make difference with the constant <span><math><mi>e</mi></math></span>. The absolute value result is then fed into the natural logarithm and proportional links to obtain the control term, which is lastly applied to the controlled object in a feedback manner. Furthermore, the range of the feedback proportional coefficient is obtained via analyzing the controlled object’s stability. The comparative analysis shows that this strategy enhances the stability domain for each parameter by more than 8% in the quasi-PIR controlled second-order inverter, and stabilizes the low frequency oscillation caused by Hopf bifurcation.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108702"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143520323","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
An efficient D-RBF-PU method for parabolic PDEs on evolving surfaces based on ALE framework
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108685
Yajun Liu, Yuanyang Qiao, Xufeng Xiao, Xinlong Feng
{"title":"An efficient D-RBF-PU method for parabolic PDEs on evolving surfaces based on ALE framework","authors":"Yajun Liu,&nbsp;Yuanyang Qiao,&nbsp;Xufeng Xiao,&nbsp;Xinlong Feng","doi":"10.1016/j.cnsns.2025.108685","DOIUrl":"10.1016/j.cnsns.2025.108685","url":null,"abstract":"<div><div>In this paper, we propose an efficient mesh-less method which combines the direct radial basis function partition of unity (D-RBF-PU) method and arbitrary Lagrangian–Eulerian (ALE) framework for solving parabolic PDEs on the evolving surface. The evolution mode of surface is obtained by the D-RBF-PU method for solving the forced mean curvature flow (FMCF). The new method maintains the quasi-uniformly distributed of points by setting a suitable tangential velocity and is called the “ALE D-RBF-PU” method. Furthermore, we verify the method is more stable and has higher accuracy than the D-RBF-PU method which is designed based on the Lagrangian framework. Besides, the RBF-PU method relies on a set of patches to assemble the differentiation matrix. Hence, this method is faster than the RBF-FD method for parabolic PDEs on the evolving surface. Numerical experiments confirm the convergence, stability and other characteristics of the proposed method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108685"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143529669","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
Intermittent sampled-data synchronization for stochastic large-scale networks with time delays under asynchronously periodic self-triggered mechanism
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108704
Hui Zhou , Yuanhao Fu , Wenxue Li
{"title":"Intermittent sampled-data synchronization for stochastic large-scale networks with time delays under asynchronously periodic self-triggered mechanism","authors":"Hui Zhou ,&nbsp;Yuanhao Fu ,&nbsp;Wenxue Li","doi":"10.1016/j.cnsns.2025.108704","DOIUrl":"10.1016/j.cnsns.2025.108704","url":null,"abstract":"<div><div>This article investigates the synchronization issue of stochastic large-scale networks with time delays (SLNTD) via periodic self-triggered asynchronous intermittent sampled-data decentralized control (PAISC). This is the first implementation of asynchronous decentralized control to tackle asynchronization challenges in intermittent sampled-data control. Particularly, the self-triggered characteristic of the controller facilitates adaptive adjustments in response to exceptional circumstances, thus bolstering the fault tolerance capabilities of SLNTD. Methodologically, the Lyapunov method is utilized to analyze the <span><math><mi>p</mi></math></span>th moment exponential synchronization of SLNTD, incorporating the method of graph theory to process asynchronous-meaning cross-coupling terms. Moreover, the practical merits of our obtained results are illustrated through the numerical example of islanded micro grid. Finally, a numerical example is given to illustrate the asynchronous advantages of PAISC.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108704"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507507","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
Stability and bifurcation analysis of a Holling–Tanner model with discontinuous harvesting action
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108720
Rony Cristiano
{"title":"Stability and bifurcation analysis of a Holling–Tanner model with discontinuous harvesting action","authors":"Rony Cristiano","doi":"10.1016/j.cnsns.2025.108720","DOIUrl":"10.1016/j.cnsns.2025.108720","url":null,"abstract":"<div><div>This work addresses the study of dynamics and bifurcations in a prey–predator model, known in the literature as the Holling–Tanner model, subject to a harvesting action of predators that is activated when the prey population is less than a certain threshold, and stopped otherwise. Such a model is represented by a piecewise smooth system with a switching boundary given by a straight line that is defined by the threshold established for the prey population. Under certain conditions on the system parameters, a pseudo-focus point appears at the switching boundary. Based on the Poincaré map defined in a neighborhood of the pseudo-focus, explicit conditions are given on the system parameters that determine its local stability, the occurrence of Hopf-like bifurcations and the emergence of crossing limit cycles. In addition to Hopf-like bifurcations, other local and global bifurcations such as the classical Hopf bifurcation, the Boundary Equilibrium bifurcations, the Saddle–Node bifurcation of periodic orbits and the Grazing bifurcation are also identified. A complete description of the existence and stability of equilibria and periodic orbits is provided based on the obtained two-parameter bifurcation set, from which the coexistence of four periodic orbits in the phase portrait of the system under study is proved.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108720"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487652","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
Nonlinear time-varying actuator fault-tolerant control for a nonlinear high-rise building system with uncertain control direction and output constraints
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108697
Mengru Wang, Jinkun Liu
{"title":"Nonlinear time-varying actuator fault-tolerant control for a nonlinear high-rise building system with uncertain control direction and output constraints","authors":"Mengru Wang,&nbsp;Jinkun Liu","doi":"10.1016/j.cnsns.2025.108697","DOIUrl":"10.1016/j.cnsns.2025.108697","url":null,"abstract":"<div><div>The high-rise buildings are prone to vibration due to external disturbance. To ensure residents’ lives and property security, the vibration suppression problem of high-rise buildings has attracted extensive attention from researchers. As a large flexible structure, the high-rise building is more accurate in modeling and control using partial differential equations (PDE). Based on the nonlinear PDE model, an adaptive fault-tolerant control law incorporating both Nussbaum function and Barrier Lyapunov function is proposed. Vibration suppression of the high-rise building is achieved under uncertain control direction and nonlinear time-varying actuator faults, while ensuring that the system output remains within a specified range. In addition, it is demonstrated via the Lyapunov method that all closed-loop signals remain uniformly bounded. The effectiveness of control method is verified by numerical simulation.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108697"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487669","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
Dynamic memory event-triggered adaptive neural prescribed-time bipartite consensus control for high-order MASs with privacy preservation
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108693
Fansen Wei , Ning Xu , Xudong Zhao , Lun Li , A.A. Al-Barakati
{"title":"Dynamic memory event-triggered adaptive neural prescribed-time bipartite consensus control for high-order MASs with privacy preservation","authors":"Fansen Wei ,&nbsp;Ning Xu ,&nbsp;Xudong Zhao ,&nbsp;Lun Li ,&nbsp;A.A. Al-Barakati","doi":"10.1016/j.cnsns.2025.108693","DOIUrl":"10.1016/j.cnsns.2025.108693","url":null,"abstract":"<div><div>In this paper, an adaptive neural prescribed-time bipartite consensus tracking control scheme is investigated for nonlinear high-order multi-agent systems (HOMASs) with privacy preservation. Under the prescribed-time tracking control framework via the backstepping technique, among agents both cooperative and competitive relationships are considered. Moreover, a novel time-varying function is introduced to deal with the singularity problem in existing prescribed-time control methods. Then, a privacy protection mechanism is constructed by utilizing the mask function to protect the whole HOMASs rather than the initial information of a single agent from being leaked, and the privacy preservation time can be preset according to actual needs. In addition, a dynamic memory event-triggered mechanism that considers historical data and current information for dynamic variables is proposed to reduce communication loss. Based on the practical prescribed-time stability criterion and Lyapunov function approach, it is proven that bipartite consensus error can converge to the neighborhood of the origin in prescribed time. Finally, the simulation result is given to show the feasibility of the proposed control scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108693"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143520325","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
Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108716
Reshma Ramaswami, Vinodkumar Arumugam, Sriramakrishnan Pathmanaban
{"title":"Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption","authors":"Reshma Ramaswami,&nbsp;Vinodkumar Arumugam,&nbsp;Sriramakrishnan Pathmanaban","doi":"10.1016/j.cnsns.2025.108716","DOIUrl":"10.1016/j.cnsns.2025.108716","url":null,"abstract":"<div><div>Certain Lyapunov conditions for the finite-time stability (FTS) and global FTS of a general nonlinear disturbed fractional ordered system is established initially. A settling time depending on the initial conditions of the system is introduced ensuring the FTS of the system and the result is then extended to global FTS. Secondly, FTS of a fractional ordered nonlinear disturbed neural network is examined using a linear matrix inequality (LMI). Finally, a few examples are depicted to validate the established results. Further, the models are extended to design novel image encryption algorithms based on FTS, which is seen to be more efficient than the existing methods. The qualitative and quantitative results proves that the models performed well with images and ensured secure communication between sender and receiver.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108716"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507505","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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