Communications in Nonlinear Science and Numerical Simulation最新文献_第10页

A map neuron with piezoelectric membrane, energy regulation and coherence resonance 带有压电膜、能量调节和相干共振的地图神经元

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-27 DOI: 10.1016/j.cnsns.2024.108320

Yanni Li , Qun Guo , Chunni Wang , Jun Ma

引用次数: 0

Stochastic optimization of targeted energy transfer with time-dependent cubic nonlinearity 具有随时间变化的立方非线性的定向能量转移随机优化技术

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-27 DOI: 10.1016/j.cnsns.2024.108314

A. Labetoulle , S. Missoum , E. Gourdon , A. Ture Savadkoohi

{"title":"Stochastic optimization of targeted energy transfer with time-dependent cubic nonlinearity","authors":"A. Labetoulle , S. Missoum , E. Gourdon , A. Ture Savadkoohi","doi":"10.1016/j.cnsns.2024.108314","DOIUrl":"10.1016/j.cnsns.2024.108314","url":null,"abstract":"<div><p>The stochastic optimization of a nonlinear energy sink (NES) with a time-dependent stiffness is considered. The NES is linearly coupled to a main system. The optimization aims to find the stiffness properties of the NES that minimize the expected value of the velocity of the main system while accounting for the statistical distributions of the excitation amplitude and frequency. It is shown that the system’s responses are highly sensitive to uncertainty and can even exhibit a discontinuous behavior. This represents a major hurdle for the optimization, which is already hampered by the potentially large computational cost associated with the time integrations. To tackle the high-sensitivity to uncertainties and reduce the computational burden, a dedicated surrogate-based stochastic optimization algorithm is used. Specifically, the approach uses Kriging surrogates built from the unsupervised identification of clusters resulting from response discontinuities. Comparisons between efficiencies of optimal nonlinear absorbers with and without time-dependent stiffness are performed and discussed.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142088311","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

Finite time prescribed performance control for stochastic systems with asymmetric error constraint and actuator faults 具有非对称误差约束和执行器故障的随机系统的有限时间规定性能控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-26 DOI: 10.1016/j.cnsns.2024.108290

Yang Wu, Lianjun Hu, Lingling Liu, Yakun Zhang, Yong Zhang

引用次数: 0

Practically fast finite-time stability of stochastic constrained nonlinear systems with actuator dead zone 具有致动器死区的随机约束非线性系统的实用快速有限时间稳定性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-26 DOI: 10.1016/j.cnsns.2024.108293

Lifang Qiu , Junsheng Zhao , Zong-Yao Sun

{"title":"Practically fast finite-time stability of stochastic constrained nonlinear systems with actuator dead zone","authors":"Lifang Qiu , Junsheng Zhao , Zong-Yao Sun","doi":"10.1016/j.cnsns.2024.108293","DOIUrl":"10.1016/j.cnsns.2024.108293","url":null,"abstract":"<div><p>This article addresses the challenge of achieving practically fast finite-time stabilization for stochastic constrained nonlinear systems, which are subject to both quantization effects and actuator dead zones. To tackle these issues, adaptive parameterization and partial control strategies are introduced with the aim of efficiently approximating and counteracting nonlinear disturbances. This approach ensures the robust stabilization of the controlled system within a finite time frame, despite the presence of uncertainties. Additionally, a novel barrier function is propose that mitigates the constraints usually imposed by boundary functions, while also leveraging a fuzzy logic system to manage nonlinear terms adeptly. Building on these innovations, we formulate a new theorem dedicated to practically fast finite-time control mechanisms for stochastic nonlinear systems. The efficacy of our theoretical developments is substantiated through an illustrative example involving a current-controlled DC motor system, demonstrating the practical applicability and robustness of the proposed control scheme.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142088308","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

Event-triggered-based fixed/preassigned-time synchronization control of second-order neural networks with distributed delays 具有分布式延迟的二阶神经网络基于事件触发的固定/预分配时间同步控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI: 10.1016/j.cnsns.2024.108301

Guodong Zhang , Rajan Rakkiyappan , Leimin Wang

引用次数: 0

Problems and corrections of classical mathematical model for piecewise linear system 片线性系统经典数学模型的问题与修正

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI: 10.1016/j.cnsns.2024.108300

Yongjun Shen , Ruiliang Zhang , Dong Han , Xiaoyan Liu

{"title":"Problems and corrections of classical mathematical model for piecewise linear system","authors":"Yongjun Shen , Ruiliang Zhang , Dong Han , Xiaoyan Liu","doi":"10.1016/j.cnsns.2024.108300","DOIUrl":"10.1016/j.cnsns.2024.108300","url":null,"abstract":"<div><p>Due to the existence of gaps or backlash, many mechanical systems can be simplified into piecewise linear models. The dynamic study on mechanical systems should be based on reliable mathematical models. So that it is very important to determine the contact point and separation point between the primary system and the auxiliary spring system (ASS) in a piecewise linear system. In most existing literature, the contact point and separation point of the mathematical model are fixed at the gap. But in this paper, it is found that the contact point and separation point actually change with the system parameters when the ASS contains a damper, which implies the most existing mathematical models are incorrect. It is firstly demonstrated through numerical solution that the primary system will prematurely separate from the ASS before reaching the gap under harmonic excitation, which shows the incorrectness of the classical mathematical models. Then, based on the mechanical model and engineering practice, two corrected mathematical models are proposed. And the motions of the primary system and ASS after premature separation in the corrected models are studied. Finally, through comparisons of the contact points, separation points, amplitude-frequency curves and motion states between the corrected models and the classical mathematical model, it can be concluded that the corrected models are more reasonable. And comparisons with the experimental data imply that the corrected models can better reflect the engineering practice. These results will be helpful to the study and design of the piecewise linear system.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424004854/pdfft?md5=d9cb27071fecb3155437befee4393b3d&pid=1-s2.0-S1007570424004854-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142129765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

General decay anti-synchronization and H∞ anti-synchronization of derivative coupled delayed memristive neural networks with constant and delayed state coupling 具有恒定和延迟状态耦合的导数耦合延迟记忆神经网络的一般衰减反同步化和 H∞ 反同步化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI: 10.1016/j.cnsns.2024.108313

Yanli Huang, Aobo Li

引用次数: 0

Semi-wavefront for a Belousov–Zhabotinskii reaction–diffusion system with spatio-temporal delay 具有时空延迟的贝洛索夫-扎博金斯基反应扩散系统的半波前问题

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-23 DOI: 10.1016/j.cnsns.2024.108297

Ge Tian, Guo-Bao Zhang

引用次数: 0

Convergence of the Two Point Flux Approximation method and the fitted Two Point Flux Approximation method for options pricing with local volatility function 两点通量逼近法和拟合两点通量逼近法的收敛性，用于具有局部波动函数的期权定价

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-23 DOI: 10.1016/j.cnsns.2024.108291

Rock S. Koffi , Antoine Tambue

{"title":"Convergence of the Two Point Flux Approximation method and the fitted Two Point Flux Approximation method for options pricing with local volatility function","authors":"Rock S. Koffi , Antoine Tambue","doi":"10.1016/j.cnsns.2024.108291","DOIUrl":"10.1016/j.cnsns.2024.108291","url":null,"abstract":"<div><p>In this paper, we deal with numerical approximations for solving the Black–Scholes Partial Differential Equation (PDE) for European and American options pricing with local volatility. This PDE is well-known to be degenerated. Local volatility model is a model where the volatility depends locally of both stock price and time. In contrast to constant volatility or time-dependent volatility models for which analytical representations of the exact solution is known for European Call options, there is no analytical solution for local volatility. The space discretization is performed using the classical finite volume method with Two-Point Flux Approximation (TPFA) and a novel scheme called Fitted Two-Point Flux Approximation (FTPFA). The Fitted Two-Point Flux Approximation (FTPFA) combines the fitted finite volume method and the standard TPFA method. More precisely the fitted finite volume method is used when the stock price approaches zero with the goal to handle the degeneracy of the PDE while the TPFA method is used on the rest of space domain. This combination yields our fitted TPFA scheme. The Euler method is used for the time discretization. We provide the rigorous convergence proofs of the two fully discretized schemes. Numerical experiments to support theoretical results are provided.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424004763/pdfft?md5=0bcf7875ec168a4e9f16cbcf9e56fa9d&pid=1-s2.0-S1007570424004763-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142097873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

(αη)-contractive and (βχ)-contractive mapping based fixed point theorems in fuzzy bipolar metric spaces and application to nonlinear Volterra integral equations 模糊双极度量空间中基于 (αη)-contractive 和 (βχ)-contractive 映射的定点定理及其在非线性 Volterra 积分方程中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-23 DOI: 10.1016/j.cnsns.2024.108307

Sonam

{"title":"(αη)-contractive and (βχ)-contractive mapping based fixed point theorems in fuzzy bipolar metric spaces and application to nonlinear Volterra integral equations","authors":"Sonam","doi":"10.1016/j.cnsns.2024.108307","DOIUrl":"10.1016/j.cnsns.2024.108307","url":null,"abstract":"<div><p>In this paper, we introduce some novel concepts within the realm of fuzzy bipolar metric spaces, namely (<span><math><mrow><mi>α</mi><mi>η</mi></mrow></math></span>)-contractive type covariant mappings and contravariant mappings, and (<span><math><mrow><mi>β</mi><mi>χ</mi></mrow></math></span>)-contractive type covariant mappings. We establish some fixed point theorems that demonstrate both the existence and uniqueness of fixed points for (<span><math><mrow><mi>α</mi><mi>η</mi></mrow></math></span>)-contractive type covariant mappings and contravariant mappings, and for (<span><math><mrow><mi>β</mi><mi>χ</mi></mrow></math></span>)-contractive type covariant mappings in complete fuzzy bipolar metric spaces utilizing the triangular property. Additionally, to substantiate the findings, some illustrative examples and consequential outcomes are presented. Furthermore, the proven results serve to extend, generalize, and enhance the corresponding outcomes documented in existing literature. A practical application of these findings in the context of non-linear Volterra integral equations is demonstrated, solidifying and reinforcing the credibility of the established results. Overall, this paper contributes to the understanding of fixed point theory in the context of fuzzy bipolar metric spaces and highlights the significance of (<span><math><mrow><mi>α</mi><mi>η</mi></mrow></math></span>)-contractive mappings and (<span><math><mrow><mi>β</mi><mi>χ</mi></mrow></math></span>)-contractive mappings in this domain.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142098327","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