Chaos Solitons & Fractals最新文献_第7页

Exploring the interplay of biodiversity and mutation in cyclic competition systems 探索循环竞争系统中生物多样性与变异的相互作用

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-18 DOI: 10.1016/j.chaos.2024.115627

Junhyeok Choi , Junpyo Park , Bongsoo Jang

{"title":"Exploring the interplay of biodiversity and mutation in cyclic competition systems","authors":"Junhyeok Choi , Junpyo Park , Bongsoo Jang","doi":"10.1016/j.chaos.2024.115627","DOIUrl":"10.1016/j.chaos.2024.115627","url":null,"abstract":"<div><div>In this study, we investigate the consequences of significant mutations using a Rock–Paper–Scissors (RPS) model as a framework. By introducing mutant species into normal species, we elucidate the factors that influence species survival and coexistence. We examine the role of mobility, mutation rates in normal species, and the interspecific competition strength differential between mutants and normals. Our results demonstrate that these factors have a profound impact on the survival dynamics of each species. Specifically, we reveal the existence of a critical mutation rate that triggers rapid changes in the survival probabilities of normal species when mobility is low. The critical mutation rate is increasing monotonically for the intermediate mobility region. We show the asymptotic characteristics of the critical mutation rate according to the interspecific competition strength differential between mutant and normal species. In addition, we identify specific ranges of mobility and mutation rates that enable the coexistence of normal and mutant species. Furthermore, we derive the relevant partial differential equation that incorporates the emergence of mutant species. When these results are compared with those obtained from the Rock–Paper–Scissors (RPS) model, we establish notable consistency between the two approaches.</div><div>This study provides a fundamental basis for further exploration of mutation effects on ecosystem dynamics, offering valuable insight into the broader implications of mutations in ecological systems. By elucidating the mechanisms driving species survival and coexistence, our findings contribute to a comprehensive understanding of the ecological consequences of mutations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 adaptive predefined-time sliding mode control scheme for synchronizing fractional order chaotic systems 用于同步分数阶混沌系统的新型自适应预定义时间滑模控制方案

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-18 DOI: 10.1016/j.chaos.2024.115610

Yunkang Sun, Yuquan Chen, Bing Wang, Cheng Ma

引用次数: 0

The warning effect of persistent defection strategy promotes cooperation in spatial prisoner’s dilemma game 持续叛逃策略的警告效应促进空间囚徒困境博弈中的合作

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-17 DOI: 10.1016/j.chaos.2024.115622

Yan Bi , Qingyi Hao , Wenjun Wu

{"title":"The warning effect of persistent defection strategy promotes cooperation in spatial prisoner’s dilemma game","authors":"Yan Bi , Qingyi Hao , Wenjun Wu","doi":"10.1016/j.chaos.2024.115622","DOIUrl":"10.1016/j.chaos.2024.115622","url":null,"abstract":"<div><div>In reality, leaders like to punish the employees who repeat mistakes in order to better manage their teams, and establish the prestige of the leaders. As the proverb goes, “kill chickens and warn monkeys”. This is also easy to promote cooperation among team members. Similarly, individuals who continuously make mistakes are less likely to be imitated by individuals around them. Motivated by those realities, based on PDG model, we propose the warning effect of persistent defection strategy evolutionary mechanism, in which discount punishment of the imitation probability is given to the player who imitates the neighbor player who continuously adopts the defection strategy. Here we set the discount punishment threshold <span><math><mi>H</mi></math></span> for the number of continuous defection strategy. If the number of continuous defection times of the imitated player reaches the threshold <span><math><mi>H</mi></math></span>, the imitating player will be given a discount punishment of imitation probability. The proposed evolutionary mechanism is more consistent with real-world situations. For instance, in the real world, people like to imitate the words and actions of their neighbors, however, when the imitated person has persistent bad behavior in the recent past, and especially when he/she is warned by the relevant department or agency, the probability of his/her words and actions being imitated decreases. Simulation and analysis show that the proposed evolutionary mechanism can better promote cooperation than the traditional PDG model. We also find that increasing the discount punishment factor <span><math><mi>α</mi></math></span> makes it easier to promote cooperation of evolutionary systems. Besides, the smaller the threshold <span><math><mi>H</mi></math></span>, the easier it is to promote cooperation of evolutionary systems. This also shows that the earlier the discount punishment factor acts on the evolutionary systems, the easier it is to promote the evolution of cooperation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

New aspects of black box conditional gradient: Variance reduction and one point feedback 黑箱条件梯度的新方面：方差缩小和一点反馈

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-17 DOI: 10.1016/j.chaos.2024.115654

Andrey Veprikov , Alexander Bogdanov , Vladislav Minashkin , Aleksandr Beznosikov

{"title":"New aspects of black box conditional gradient: Variance reduction and one point feedback","authors":"Andrey Veprikov , Alexander Bogdanov , Vladislav Minashkin , Aleksandr Beznosikov","doi":"10.1016/j.chaos.2024.115654","DOIUrl":"10.1016/j.chaos.2024.115654","url":null,"abstract":"<div><div>This paper deals with the black-box optimization problem. In this setup, we do not have access to the gradient of the objective function, therefore, we need to estimate it somehow. We propose a new type of approximation <span>JAGUAR</span>, that memorizes information from previous iterations and requires <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> oracle calls. We implement this approximation in the Frank–Wolfe and Gradient Descent algorithms and prove the convergence of these methods with different types of zero-order oracle. Our theoretical analysis covers scenarios of non-convex, convex and PL-condition cases. Also in this paper, we consider the stochastic minimization problem on the set <span><math><mi>Q</mi></math></span> with noise in the zero-order oracle; this setup is quite unpopular in the literature, but we prove that the <span>JAGUAR</span> approximation is robust not only in deterministic minimization problems, but also in the stochastic case. We perform experiments to compare our gradient estimator with those already known in the literature and confirm the dominance of our methods.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Chaotic self-oscillation of liquid crystal elastomer double-line pendulum under a linear temperature field 线性温度场下液晶弹性体双线摆的混沌自振荡

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-17 DOI: 10.1016/j.chaos.2024.115653

Xin Sun, Dali Ge, Kai Li, Peibao Xu

{"title":"Chaotic self-oscillation of liquid crystal elastomer double-line pendulum under a linear temperature field","authors":"Xin Sun, Dali Ge, Kai Li, Peibao Xu","doi":"10.1016/j.chaos.2024.115653","DOIUrl":"10.1016/j.chaos.2024.115653","url":null,"abstract":"<div><div>Chaotic self-oscillation systems are prevalent in nature and hold promise for applications in soft robotics, energy harvesting and medical equipment. Nevertheless, current research on chaotic motion systems remains insufficient. This paper introduces an innovative chaotic self-oscillation system under a linear temperature field, comprising two liquid crystal elastomer (LCE) fibers and a mass ball. Unlike traditional single pendulum systems, the present double-line pendulum system not only realizes chaotic self-oscillation due to the non-synchronous characteristics of two LCE fibers contraction and expansion, but also provides a new theoretical framework and mechanism. To better understand the self-oscillation behavior of the system, the nonlinear dynamic model is established by combining the linear temperature field model and the dynamic principle. Numerical calculations indicate that the system exhibits two typical self-oscillation modes: periodic self-oscillation and chaotic self-oscillation. By analyzing the work done by various forces on the mass ball, the mechanisms underlying periodic self-oscillation and chaotic self-oscillation are elucidated. Furthermore, a detailed study is conducted on the effect of key system parameters on self-oscillation behavior. The conversion of self-oscillation mode can be realized by adjusting the system parameters. It is further proved by an experiment that the system can generate chaotic self-oscillation under the linear temperature field. The research results broaden the understanding of the motion properties of active materials and extend the scope of pendulum studies, thereby helping to advance technology in the fields of sensing and actuation, controllers, biomimetic mechanics and nonlinear oscillation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 harmonic resonant behaviors and bifurcation in a Two Degree-of-Freedom Duffing oscillator coupled system of Tension Leg Platform type Floating Offshore Wind Turbine 张力腿平台型浮式海上风力涡轮机两自由度达芬振荡器耦合系统中的非线性谐波共振行为和分岔

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-17 DOI: 10.1016/j.chaos.2024.115656

Ouming Su , Yan Li , Guoyan Li , Yiwen Cui , Haoran Li , Bin Wang , Hang Meng , Yaolong Li , Jinfeng Liang

{"title":"Nonlinear harmonic resonant behaviors and bifurcation in a Two Degree-of-Freedom Duffing oscillator coupled system of Tension Leg Platform type Floating Offshore Wind Turbine","authors":"Ouming Su , Yan Li , Guoyan Li , Yiwen Cui , Haoran Li , Bin Wang , Hang Meng , Yaolong Li , Jinfeng Liang","doi":"10.1016/j.chaos.2024.115656","DOIUrl":"10.1016/j.chaos.2024.115656","url":null,"abstract":"<div><div>The surge-heave coupled motion model of a Tension Leg Platform type Floating Offshore Wind Turbine (TLP FOWT) is first established. By taking the tendons stretching and platform set-down motion into consideration, the nonlinear model is a Duffing oscillator coupled system. We analyze the nonlinear feature in the surge-heave coupled motions by the semi-analytical algorithms in nonlinear dynamics. The harmonic balance method is applied to obtain the analytical solutions of the nonlinear system under wind and wave excitations. The analytical solution verifies the excellent accuracy. To further achieve the heave motion response, we organize the bifurcation analysis and discuss the effects of the dynamic parameters on the heave responses. The results reveal the multi components of heave motion, which consist of constant, primary harmonic resonate and higher order harmonic resonate. In addition, the change of dynamic parameters has various effects on the response. The increment of wave load leads to the expansion of heave response, and an instantaneous expansion appear. Both linear surge and heave damping only affect the amplitudes of heave motion. The nonlinear surge stiffness and heave stiffness can barely affect the primary harmonic resonance amplitudes, but they present different effects on the higher order harmonic resonance component.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Dynamical effects of low-frequency and high-frequency current stimuli in a memristive Morris–Lecar neuron model 记忆性莫里斯-勒卡神经元模型中低频和高频电流刺激的动态效应

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-17 DOI: 10.1016/j.chaos.2024.115646

Quan Xu, Kai Wang, Chengtao Feng, Weiwei Fan, Ning Wang

引用次数: 0

Community detection in directed networks based on network embeddings 基于网络嵌入的有向网络中的社群检测

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-17 DOI: 10.1016/j.chaos.2024.115630

Guihai Yu , Yang Jiao , Matthias Dehmer , Frank Emmert-Streib

{"title":"Community detection in directed networks based on network embeddings","authors":"Guihai Yu , Yang Jiao , Matthias Dehmer , Frank Emmert-Streib","doi":"10.1016/j.chaos.2024.115630","DOIUrl":"10.1016/j.chaos.2024.115630","url":null,"abstract":"<div><div>In real-world scenarios, many systems can be represented using directed networks. Community detection is a foundational task in the study of complex networks, providing a method for researching and understanding the topological structure, physical significance, and functional behavior of networks. By utilizing network embedding techniques, we can effectively convert network structure and additional information into node vector representations while preserving the original network structure and properties, solving the problem of insufficient network representations. Compared with undirected networks, directed networks are more complex. When conducting community detection on directed networks, the biggest challenge is how to combine the directional and asymmetric characteristics of edges. This article combines network embedding with community detection, utilizing the cosine similarity between node embedding vectors, and combining the ComDBNSQ algorithm to achieve non overlapping community partitioning of directed networks. To evaluate the effectiveness of the algorithm, we conduct experiments using both artificial and real data sets. The numerical results indicate that the algorithm outperforms the comparison algorithms (Girvan–Newman algorithm and Label Propagation algorithm) in terms of modularity, and can perform high-quality directed network community detection.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142444722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 fast matrix autoregression algorithm based on Tucker decomposition for online prediction of nonlinear real-time taxi-hailing demand without pre-training 基于塔克分解的快速矩阵自回归算法，无需预训练即可在线预测非线性实时打车需求

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-16 DOI: 10.1016/j.chaos.2024.115660

Zhihao Xu, Zhiqiang Lv, Benjia Chu, Jianbo Li

{"title":"A fast matrix autoregression algorithm based on Tucker decomposition for online prediction of nonlinear real-time taxi-hailing demand without pre-training","authors":"Zhihao Xu, Zhiqiang Lv, Benjia Chu, Jianbo Li","doi":"10.1016/j.chaos.2024.115660","DOIUrl":"10.1016/j.chaos.2024.115660","url":null,"abstract":"<div><div>Online prediction of real-time taxi-hailing demand generally provides better real-time decision support for passengers and taxi drivers compared with offline prediction. Current studies focused on using deep spatial-temporal models to predict complex nonlinear taxi-hailing demand. However, whether these models can be used for online prediction of real-time taxi-hailing demand through online training or offline pre-training is hardly discussed. Generally, deep models are not lightweight enough for online training, and pre-training these models requires some time and computational resources. Therefore, a lightweight Fast Matrix Autoregression algorithm based on Tucker Decomposition (FMAR-TD) is proposed for online real-time training and prediction of nonlinear taxi-hailing demand without pre-training. The experimental results show that FMAR-TD achieves millisecond-level online prediction of real-time taxi-hailing demand. Compared with baselines, the Mean Absolute Error (MAE) and Root Mean Square Error (RMSE) of FMAR-TD marginally increase by 2.51 % and 2.56 %, while the computation time (sum of training time and prediction time) significantly reduces by 86.16 %. Open-source link: <span><span>https://github.com/qdu318/FMAR-TD</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142441849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 network method to analyze compound extreme events: Risk enhancement relationship and trigger causal relationship in high voice traffic and high data throughput events 分析复合极端事件的网络方法：高语音流量和高数据吞吐量事件中的风险增强关系和触发因果关系

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-15 DOI: 10.1016/j.chaos.2024.115661

Li-Na Wang , Hao-Ran Liu , Yu-Wen Huang , Chen-Rui Zang , Jun Wang

{"title":"A network method to analyze compound extreme events: Risk enhancement relationship and trigger causal relationship in high voice traffic and high data throughput events","authors":"Li-Na Wang , Hao-Ran Liu , Yu-Wen Huang , Chen-Rui Zang , Jun Wang","doi":"10.1016/j.chaos.2024.115661","DOIUrl":"10.1016/j.chaos.2024.115661","url":null,"abstract":"<div><div>Based on ideas from event coincidence analysis (ECA), we propose a network analysis method to study compound extreme events at different geographical locations. Integrating network modeling into statistical correlation research allows us to analyze potential risk enhancement relationship and trigger causal relationship between these events. In this approach, we consider different geographical locations as nodes and construct a directed edge from node <em>i</em> to node <em>j</em> when event A at location <em>i</em> occurs synchronously before event B at location <em>j</em>. Precursor coincidence analysis quantifies the risk enhancement relationship between two types of extreme events, while trigger coincidence analysis quantifies the trigger causal relationship between two types of extreme events. A directed weighted network can be constructed based on statistical correlations between these events at different geographical locations. Further analysis of network topology characteristics extends traditional ECA in method and application. Herein, we construct the precursor functional network and the trigger functional network of high voice traffic and high data throughput to analyze potential risk enhancement and trigger causal relationships between these events at different base stations within a communication system.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142438120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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