Applied Mathematics and Computation最新文献

Analysis of multiple contact types within the framework of semi-finite element method

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-26 DOI: 10.1016/j.amc.2025.129494

Ling Tao , Zhongpan Li , Hong Wen , Simiao Yu , Zhiqiang Feng

{"title":"Analysis of multiple contact types within the framework of semi-finite element method","authors":"Ling Tao , Zhongpan Li , Hong Wen , Simiao Yu , Zhiqiang Feng","doi":"10.1016/j.amc.2025.129494","DOIUrl":"10.1016/j.amc.2025.129494","url":null,"abstract":"<div><div>Dynamic contact problems are common in engineering systems. Current dynamic contact simulations are prone to energy non-conservation and over-reliance on nodes accuracy. To address the above difficulties, a numerical algorithm based on the bipotential theory for solving the dynamic contact problems of multibody systems is proposed. Within the framework of semi-finite element method, the Uzawa iteration is embedded in Newton iteration to solve the nonlinear equation. By constructing the adaptive virtual points on the contact surface, the bipotential theory is introduced to compute the local dynamic contact force. In this work, both the interactive contact interface and the coupling contact interface are considered, and the numerical examples are extended from two-dimension line-to-line contact to three-dimension surface-to-surface contact. In addition, the influence of coupling components on the deformation and motion of each subsystem is also revealed. The numerical results show that the proposed algorithm is effective and stable, satisfies the law of energy conservation strictly and reduces the over-dependence on the nodes accuracy. This work can provide a reference for further research on balancing computation efficiency and accuracy.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129494"},"PeriodicalIF":3.5,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873981","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

Convergence rate of nonlinear delayed neutral McKean-Vlasov SDEs driven by fractional Brownian motions

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-26 DOI: 10.1016/j.amc.2025.129478

Shengrong Wang , Jie Xie , Li Tan

引用次数: 0

Time variable gain ESO-based fixed-time platoon tracking control for connected vehicles

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-23 DOI: 10.1016/j.amc.2025.129477

Linlin Liu , Liang Cao , Hongru Ren , Meng Zhao

{"title":"Time variable gain ESO-based fixed-time platoon tracking control for connected vehicles","authors":"Linlin Liu , Liang Cao , Hongru Ren , Meng Zhao","doi":"10.1016/j.amc.2025.129477","DOIUrl":"10.1016/j.amc.2025.129477","url":null,"abstract":"<div><div>Autonomous vehicles with information exchange and precision control on the road usually form platoon with smaller gaps between vehicles to increase the road traffic volume and reduce the fossil energy consumption. This paper focuses on uncertain vehicle platoon systems (VPSs) with disturbances and designs a distributed fixed-time disturbance rejection platoon tracking control strategy based on time variable gain extended state observer (TVGESO) and fixed-time stability theory. Firstly, a TVGESO is designed to achieve the estimation of external disturbances, which not only has a stricter stability analysis process of observation error convergence compared to nonlinear extended state observer, but also weakens the phenomenon of “initial differential peak” in traditional linear extended state observer methods. Subsequently, using the estimation of TVGESO and the fixed-time stability theory, a fixed-time control method is derived in the backstepping framework, and stability analysis shows that the control method achieves the system stability in bounded time independently of the initial conditions. Finally, the control strategy is applied to the VPSs, and the simulation and results verify that the control strategy can improve the transient and steady-state tracking control performance.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129477"},"PeriodicalIF":3.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859877","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

Monitoring biodiversity on highly reactive rock-paper-scissors models

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-23 DOI: 10.1016/j.amc.2025.129474

D. Bazeia , M.J.B. Ferreira , B.F. de Oliveira , W.A. dos Santos

{"title":"Monitoring biodiversity on highly reactive rock-paper-scissors models","authors":"D. Bazeia , M.J.B. Ferreira , B.F. de Oliveira , W.A. dos Santos","doi":"10.1016/j.amc.2025.129474","DOIUrl":"10.1016/j.amc.2025.129474","url":null,"abstract":"<div><div>This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly reactive species, i.e., species that react in a stronger manner compared to the others in respect to either competition or reproduction. These two classes of models, called here Highly Competitive and Highly Reproductive models, may lead to hierarchical and non-hierarchical dynamics, depending on the number of highly reactive species. The fundamental feature of these models is the fact that hierarchical models may as well support biodiversity, however, with a higher probability of extinction than the non-hierarchical ones, which are in fact more robust. This analysis is done by evaluating the probability of extinction as a function of mobility. In particular, we have analyzed how the dominance scheme changes depending on the highly reactive species for non-hierarchical models, where the findings lead to the conclusion that highly reactive species are usually at a disadvantage compared to the others. Moreover, we have investigated the power spectrum and the characteristic length of each species, including more information on the behavior of the several systems considered in the present work.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129474"},"PeriodicalIF":3.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859878","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

Neural network approximation of the composition of fractional operators and its application to the fractional Euler-Bernoulli beam equation 分式算子组成的神经网络近似及其在分式欧拉-伯努利梁方程中的应用

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129475

Anna Nowak , Dominika Kustal , HongGuang Sun , Tomasz Blaszczyk

引用次数: 0

On the hybridizable discontinuous Galerkin method and superconvergence analysis for the diffusive viscous wave equation

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129471

Lu Wang, Minfu Feng

引用次数: 0

Cooperation dynamics of social dilemmas on an opinion-dependent weighted network

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129476

Ji Quan , Leyao Tao , Xianjia Wang

{"title":"Cooperation dynamics of social dilemmas on an opinion-dependent weighted network","authors":"Ji Quan , Leyao Tao , Xianjia Wang","doi":"10.1016/j.amc.2025.129476","DOIUrl":"10.1016/j.amc.2025.129476","url":null,"abstract":"<div><div>In real society, different individuals have different opinions on a certain issue, and individuals with similar views tend to become close gradually, while individuals with different opinions tend to become distant. Based on this fact, we propose a weighted spatial prisoner's dilemma game model with opinions to explore the impact of link weight change influenced by differences in opinions on the evolution of cooperation. The strength of social relationships is indicated by the link weight which is dynamically updated by the differences in views between individuals. We investigate the effects of changes in the link weight control parameter, tolerance control parameter, and link weight adjustment amplitude on the evolution of cooperation. Through Monte Carlo simulations, we find that a co-evolutionary mechanism of game strategies and link weights influenced by opinions can facilitate the evolution of cooperation. More specifically, cooperation can be favored by an increase in the link weight control parameter, a decrease in the tolerance control parameter, and an increase in link weight adjustment amplitude. Changes in these parameters increase the heterogeneity of the network and therefore facilitate cooperation. These results help us understand how selfish individuals in a social dilemma can adjust their social relationships based on opinion dynamics to facilitate cooperation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129476"},"PeriodicalIF":3.5,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143854366","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

Singularity-free fixed-time adaptive event-triggered fault-tolerant control for a QUAV with user-defined tracking performance

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI: 10.1016/j.amc.2025.129467

Xiaona Song , Ruikang Zhuo , Shuai Song , Ke Wang

{"title":"Singularity-free fixed-time adaptive event-triggered fault-tolerant control for a QUAV with user-defined tracking performance","authors":"Xiaona Song , Ruikang Zhuo , Shuai Song , Ke Wang","doi":"10.1016/j.amc.2025.129467","DOIUrl":"10.1016/j.amc.2025.129467","url":null,"abstract":"<div><div>In this paper, a singularity-free fixed-time adaptive interval type-2 fuzzy fault-tolerant control scheme with user-defined tracking performance is developed for a quadrotor unmanned aerial vehicle (QUAV) with unknown actuator failures under the command-filtered backstepping control (CFBC) framework. At first, the hyperbolic tangent function and interval type-2 fuzzy logic systems (IT2FLSs) are integrated to deal with unknown nonlinear expressions, where the potential singularity problem exposed in some existing fixed-time control schemes can be effectively prevented. Using a modified CFBC technique, the matter of “explosion of complexity” exposed in the classical recursive design procedure and the negative effects caused by filter error existing in dynamic surface control are overcome. Furthermore, the fixed time adaptive resilient controllers are designed for position subsystem and attitude subsystem, separately, where the event-triggered mechanism is incorporated into controller design to relax communication bandwidth constraints. Moreover, the rigorous analysis demonstrated that the designed control scheme can ensure that all closed-loop signals are fixed-time bounded, and the tracking errors can be regulated into a residual set satisfying a user-defined tracking performance. Ultimately, the effectiveness of the proposed control strategy is validated through the simulation results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129467"},"PeriodicalIF":3.5,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143854496","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

Group size dynamics for a group following game with shared rewards

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129470

Thomas A. Wettergren

引用次数: 0

The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129473

Yan Bi , Qingyi Hao , Kui Liu

{"title":"The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game","authors":"Yan Bi , Qingyi Hao , Kui Liu","doi":"10.1016/j.amc.2025.129473","DOIUrl":"10.1016/j.amc.2025.129473","url":null,"abstract":"<div><div>Benefiting from the development of information science and technology, more and more scholars use various complex networks as evolutionary carriers to research evolutionary game theory, which leads to the gradual unraveling of many evolutionary mechanisms. The reputation mechanism is particularly interesting and important among many mechanisms. Therefore, it has received widespread attention and research from related researchers, which is also mainly attributed to the important effect of reputation in promoting cooperation of evolution system. However, until now, the role of reputation mechanism in facilitating the evolution of cooperation has not been completely accurately revealed. In reality, the mechanism of mutual imitation of behaviors between interactive individuals based on reputation factors is still an interesting and unsolved problem. In this work, a novel evolutionary mechanism is proposed based on reputation levels and disparities, in which the evolutionary strategy of imitator is influenced by the reputation disparities of the imitated and the imitator. Moreover, based on the proposed evolutionary mechanism, this paper also explores the influence of reputation levels on the evolution of cooperation. Monte Carlo simulations verify that the proposed evolutionary mechanism is easier to promote cooperation of evolution system, especially when the reputation weight factor is larger, or the number of reputation levels is fewer, compared with the traditional PDG model. The study also indirectly reveals that streamlining the institutions is easy to promote social harmony and development.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129473"},"PeriodicalIF":3.5,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843133","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