Communications in Nonlinear Science and Numerical Simulation最新文献_第8页

Temporary capture about the Moon involving Sun–Earth libration point dynamics 关于月球的临时捕获涉及太阳-地球振动点动力学

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-01 DOI: 10.1016/j.cnsns.2025.108792

Bo Pang , Josep J. Masdemont , Dong Qiao

引用次数: 0

Nonlinear 3D mechanical models for implicit standard materials 隐式标准材料的非线性三维力学模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-01 DOI: 10.1016/j.cnsns.2025.108793

Andaluzia Matei

引用次数: 0

Robust numerical framework for simulating 2D fractional time–space stochastic diffusion equation driven by spatio-temporal noise: L1-FFT hybrid approach 模拟时空噪声驱动的二维分数时空随机扩散方程的鲁棒数值框架：L1-FFT混合方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-31 DOI: 10.1016/j.cnsns.2025.108791

Z. Moniri , A. Babaei , B. Parsa Moghaddam

{"title":"Robust numerical framework for simulating 2D fractional time–space stochastic diffusion equation driven by spatio-temporal noise: L1-FFT hybrid approach","authors":"Z. Moniri , A. Babaei , B. Parsa Moghaddam","doi":"10.1016/j.cnsns.2025.108791","DOIUrl":"10.1016/j.cnsns.2025.108791","url":null,"abstract":"<div><div>This paper presents an in-depth analysis of numerical methods for solving two-dimensional fractional time–space stochastic diffusion equations, employing the Caputo fractional derivative and the fractional Laplacian. The study utilizes the L1-algorithm for temporal discretization, ensuring an accurate representation of fractional dynamics, while the Fast Fourier Transform is applied for spatial discretization to efficiently handle large-scale computational challenges. The spatio-temporal multiplicative Gaussian noise is modeled as the product of a Brownian sheet and a Brownian bridge, with the 2D Karhunen–Loève expansion implemented for noise generation. This approach is evaluated against Euler-type simulation technique, establishing a robust framework for stochastic simulations. Through comprehensive testing using two benchmark initial conditions — the sinc function and a single Gaussian distribution — the effectiveness of the proposed approach was validated in resolving two-dimensional fractional stochastic diffusion equations and simulating pollutant concentration dispersion patterns. These advanced methodologies enhance the understanding of fractional diffusion processes and offer practical tools for addressing complex problems in environmental modeling and related fields.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108791"},"PeriodicalIF":3.4,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748319","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 vibrations and chaotic dynamics of graphene-reinforced titanium-based composite rectangular cantilever plate subjected to transverse excitations 横向激励下石墨烯增强钛基复合材料矩形悬臂板的非线性振动与混沌动力学

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-28 DOI: 10.1016/j.cnsns.2025.108801

W. Zhang , Z.H. Nie , Y. Jiang , Y.F. Zhang

{"title":"Nonlinear vibrations and chaotic dynamics of graphene-reinforced titanium-based composite rectangular cantilever plate subjected to transverse excitations","authors":"W. Zhang , Z.H. Nie , Y. Jiang , Y.F. Zhang","doi":"10.1016/j.cnsns.2025.108801","DOIUrl":"10.1016/j.cnsns.2025.108801","url":null,"abstract":"<div><div>In this paper, we investigate the linear vibration behaviors, nonlinear and chaotic dynamics of the functionally graded graphene reinforced titanium-based (FG-GRTB) composite laminated cantilever rectangular plate under the transverse excitation. Based on Halpin-Tsai model, the mechanical properties are calculated for the graphene reinforced titanium-based (GR-TB) composite laminated cantilever rectangular plate. Considering the classical laminated theory, von Karman large deformation theory and Hamilton principle, the partial differential governing equations of motion are derived for the GR-TB composite laminated cantilever rectangular plate subjected to the transverse excitation. The natural vibration behaviors of the system are investigated by Rayleigh-Ritz method. The results are compared with the finite element simulation using COMSOL MUTIPHYSIC software. The ordinary differential equations of the GR-TB composite laminated cantilever rectangular plate are obtained by Galerkin method. The internal and primary resonances of the system are studied by the multi-scale method. The amplitude-frequency and force-amplitude response curves are depicted by the average equations. The chaotic vibrations of the system are studied by using the bifurcation diagram, max Lyapunov exponent, time histories, phase portrait and Poincare map. The results indicate that the graphene volume fraction and graphene distributed type have a significant influence on the natural vibration characteristics of the GR-TB composite laminated cantilever rectangular plate. In addition, the system exhibits the soft spring nonlinear properties in the case of the combination of the internal and primary resonances. Moreover, the system under larger external amplitude or smaller damping triggers the chaotic vibrations easily.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108801"},"PeriodicalIF":3.4,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748322","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

Light-powered self-striking liquid crystal elastomer hammers inspired by mantis shrimp 灵感来自螳螂虾的光能自击液晶弹性体锤

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-26 DOI: 10.1016/j.cnsns.2025.108802

Yunlong Qiu, Kai Li

{"title":"Light-powered self-striking liquid crystal elastomer hammers inspired by mantis shrimp","authors":"Yunlong Qiu, Kai Li","doi":"10.1016/j.cnsns.2025.108802","DOIUrl":"10.1016/j.cnsns.2025.108802","url":null,"abstract":"<div><div>Self-sustainable systems can absorb energy from steady environment and spontaneously generate continuous motions. Inspired by explosive predation of the mantis shrimp, this paper designs a self-striking hammer using liquid crystal elastomers (LCEs) powered by steady illumination, which consists of an LCE fiber, a rope, a slider, a track, two springs, and a hammer. The mechanical model of the self-striking hammer is first established, and then quasi-static analysis is performed to investigate dynamic behaviors of light-powered self-striking, including alternating snap and snap-back. Meanwhile, the period of the self-striking was analyzed based on photothermally-responsive LCE model. The calculations show that the self-striking originates from the competition between the elastic energies of the LCE and two springs, and the critical conditions for self-striking are mainly influenced by the light-driven contraction of the LCE fiber. Additionally, the period of self-striking is composed of durations of the snap and the snap-back. For given critical light-driven contractions, the duration of the snap depends on the contraction coefficient of the LCE and the light intensity, while the duration of the snap-back remains constant. Compared to traditional self-sustainable systems, the self-striking LCE hammer relies less on rapid-response active materials, releases energy quickly, and features a simple structure, making it promising for applications in rescue operations and military applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108802"},"PeriodicalIF":3.4,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748321","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

Integrability and dynamics of a low-dimensional model for glacial cycle: The effect of CO2 concentration 冰期旋回低维模式的可积性与动力学：CO2浓度的影响

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-26 DOI: 10.1016/j.cnsns.2025.108781

Shuangling Yang

引用次数: 0

An improved model for time-varying mesh stiffness of super-high-contact-ratio helical gear pair considering contact disparities on differently sliced fractal surfaces 考虑不同切分形表面接触差的超高接触比斜齿轮副时变啮合刚度改进模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108806

Guodong Zhu , Kang Huang , Yangshou Xiong , Anqi Li , Jiyou Peng , Wenhao Ding

{"title":"An improved model for time-varying mesh stiffness of super-high-contact-ratio helical gear pair considering contact disparities on differently sliced fractal surfaces","authors":"Guodong Zhu , Kang Huang , Yangshou Xiong , Anqi Li , Jiyou Peng , Wenhao Ding","doi":"10.1016/j.cnsns.2025.108806","DOIUrl":"10.1016/j.cnsns.2025.108806","url":null,"abstract":"<div><div>Comprehensive studies that fully explore the impact of tooth surface morphology on the time-varying mesh stiffness (TVMS) of helical gear pairs are limited. The slicing method in helical gears leads to significant differences in fractal contact stiffness compared to spur gears, affecting stiffness calculations. Consequently, this research focuses on super-high-contact-ratio (SHCR) helical gears, commonly used in electric vehicles. The fractal contact model for the SHCR helical gear pair is developed based on fractal theory. The tooth contact coefficients in the conventional contact model have been improved. The new model considers distinctions in the tooth surface contact coefficients for different slices simultaneously in the helical gear pair. Furthermore, considering the axial force components, an improved model for the TVMS of the SHCR helical gear pair is developed. The investigation examines the effects of fractal and gear parameters on TVMS. The findings reveal that the TVMS escalates with an increase in fractal dimension and a decrease in the characteristic scale coefficient. Moreover, it is observed that the TVMS of the SHCR helical gear exhibits a relatively lower sensitivity compared to spur gears to changes in fractal parameters. Additionally, the contact ratio emerges as a crucial factor affecting TVMS. Notably, when the contact ratio approximates an integer value, the peak-to-peak value of TVMS diminishes. Conversely, in instances where the contact ratio is large, the average value tends to increase.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108806"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735088","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

Composite anti-disturbance path tracking control for the unmanned vehicle under complex driving conditions 复杂驾驶条件下无人驾驶车辆复合抗干扰路径跟踪控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108803

Yuzhan Wu , Chenlong Li , Guanghong Gong , Junyan Lu

{"title":"Composite anti-disturbance path tracking control for the unmanned vehicle under complex driving conditions","authors":"Yuzhan Wu , Chenlong Li , Guanghong Gong , Junyan Lu","doi":"10.1016/j.cnsns.2025.108803","DOIUrl":"10.1016/j.cnsns.2025.108803","url":null,"abstract":"<div><div>The path tracking control of unmanned vehicles in complex driving conditions is frequently challenged by the model uncertainty and the external disturbance, such as the crosswind disturbance, which brings difficulties to the path tracking control. Therefore, to address the path tracking control of unmanned vehicles under complex driving conditions, a composite anti-disturbance path tracking control approach using multi-dimensional Taylor network (MTN) is proposed. First, based on the mechanism modeling of unmanned vehicles, the uncertainty is described by the MTN data-driven model; design the MTN disturbance observer to characterize the influence of the crosswind disturbance; the improved Back Propagation (BP) algorithm is proposed and treated as the learning algorithm of the MTN data-driven model and the MTN disturbance observer; the convergence of the MTN is proved. Then, design the MTN finite time controller, which tracks the reference path quickly and accurately based on principle of “feedforward compensation and feedback suppression”; according to the finite time control theory, the finite-time stability proof of closed-loop system is given. Finally, experimental simulations have been conducted, and the results show that the proposed approach can effectively track the path under complex driving conditions, and has good tracking performance, anti-disturbance performance, real-time performance, and strong robustness performance.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108803"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748323","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

Robust exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion 不确定模糊神经网络的鲁棒指数稳定性：一个全局单向四元隐式判据

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108779

Wenxiao Si , Shigen Gao , Tao Wen , Ning Zhao

{"title":"Robust exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion","authors":"Wenxiao Si , Shigen Gao , Tao Wen , Ning Zhao","doi":"10.1016/j.cnsns.2025.108779","DOIUrl":"10.1016/j.cnsns.2025.108779","url":null,"abstract":"<div><div>This paper provides a sufficient criterion for robust global exponential stability (RGES) of non-deterministic fuzzy neural networks (NDFNNs), where “non-deterministic” feature maps the effect of the variability of piecewise constant argument (PCAs), derivative term coefficients (DTCs) and twofold uncertain connection weights.To determine the supremum of the non-deterministic parameters, an algorithm for the global unidirectional sequential calculation is designed, including the feasible domain of the connection weight intensities that interfere with the transient performance of NDFNNs. Furthermore, the existence and uniqueness of the solution of NDFNNs are further elucidated. These are achieved by solving quaternary implicit transcendental equations utilizing Gronwall inequality. Compared to previous results, an additional geometric representation of the allowable intensity of connection weights is provided, accounting for the influence of PCAs and DTCs, is given. The designed algorithm based on unidirectional quaternary implicit criterion fully considers the sequential relation of update process. Specifically, the unidirectional algorithm enables the supremum of subsequent elements to depend on previously computed ones, creating a coupled relationship and enhancing accuracy. Finally, the validity of the theoretical results for ensuring the RGES of NDFNNs is illustrated by the simulation cases.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108779"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738759","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

Random walks over weighted complex networks: Are the most occupied nodes the nearest ones? 加权复杂网络的随机行走：被占用最多的节点是最近的节点吗？

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108778

Pablo Medina , Tomás P. Espinoza , Sebastián C. Carrasco , Reinaldo R. Rosa , José Rogan , Juan Alejandro Valdivia

{"title":"Random walks over weighted complex networks: Are the most occupied nodes the nearest ones?","authors":"Pablo Medina , Tomás P. Espinoza , Sebastián C. Carrasco , Reinaldo R. Rosa , José Rogan , Juan Alejandro Valdivia","doi":"10.1016/j.cnsns.2025.108778","DOIUrl":"10.1016/j.cnsns.2025.108778","url":null,"abstract":"<div><div>In this paper, we study the relationship between occupation and closeness of nodes for particles moving in a random walk on weighted complex networks, such that the adjacency and transition matrices define the <em>outgoing neighbors</em> of a node and transition probabilities to them, respectively, for packages that pass through the node in question. To answer this question for different network topologies and transition probabilities, we propose two new planes involving occupation, closeness, and transient time, which characterize the transport properties of the networks, as opposed to the more static representations of the network, as previously reported. The first plane provides a local relation between occupation and closeness of nodes, while the second plane relates the average closeness and average transient time to converge to the asymptotic state of the network as a whole. We compare 16 different topologies considering complex real-world and synthetic networks. In all the cases considered, we found an approximate inverse relation between occupation and closeness of nodes, and a direct relation between the global transient time and average closeness of the network. The calculations are done directly from the network topology and transition probabilities, but they can also be estimated by directly simulating the network transport. Hence, these planes provide a complementary view of the transportation dynamics on complex networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108778"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739028","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