IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0227458

Shri Harine P, Ankit Kumar, Reshma K P

{"title":"Local and global dynamics of a prey-predator system with fear, Allee effect, and variable attack rate.","authors":"Shri Harine P, Ankit Kumar, Reshma K P","doi":"10.1063/5.0227458","DOIUrl":"https://doi.org/10.1063/5.0227458","url":null,"abstract":"Fear prompts prey to adopt risk-averse behaviors, such as reduced foraging activity, increased vigilance, and avoidance of areas with high predator presence, which affects its reproduction. In a real scenario, a population requires a minimum density to avoid extinction, known as an Allee threshold. In light of these biological factors, we propose a predator-prey model with (i) a fear effect in a prey population, (ii) an Allee effect in a predator population, and (iii) a non-constant attack rate that modifies the functional response. We ensured the non-negativity and boundedness of the solutions and examined the local and global stability status for each existing steady state solutions. We investigated some deep dynamical properties of the system by varying different parameters, such as cost of fear in prey and strength of the Allee effect in predators and their mortality rate. In codimension one bifurcations, we observed saddle node, Hopf, homoclinic, and coalescence of two limit cycles. Additionally, codimension two bifurcations were observed, including Bautin and Bogdanov Takens bifurcations. To provide a clearer understanding of these bifurcations, we conducted biparametric analysis involving the fear and Allee parameters, as well as the fear parameter and predator mortality rate. Our investigation shows that cost of fear and strength of Allee strongly influences the survival status of the predator. Furthermore, bistability and tristability reveal that the survival and extinction of predator are dependent on the initial population level. Numerical simulations and graphical illustrations are provided to support and validate our theoretical findings.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142281133","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

Effects of spin torque within ferromagnetic infinite medium: The short-wave approximation and Painlevé analysis. 铁磁无限介质中的自旋力矩效应：短波近似和潘列维分析

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0212370

Francis T Nguepjouo, Victor K Kuetche, E Tchomgo Felenou

引用次数: 0

Non-Markovian quantum mechanics on comb. 梳状非马尔可夫量子力学

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0226335

Alexander Iomin

引用次数: 0

A non-autonomous framework for climate change and extreme weather events increase in a stochastic energy balance model. 随机能量平衡模型中气候变化和极端天气事件增加的非自主框架。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0223309

G Del Sarto, F Flandoli

引用次数: 0

Fractal information dissemination and clustering evolution on social hypernetwork. 社会超网络上的分形信息传播与聚类演化。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0228903

Li Luo, Fuzhong Nian, Yuanlin Cui, Fangfang Li

{"title":"Fractal information dissemination and clustering evolution on social hypernetwork.","authors":"Li Luo, Fuzhong Nian, Yuanlin Cui, Fangfang Li","doi":"10.1063/5.0228903","DOIUrl":"https://doi.org/10.1063/5.0228903","url":null,"abstract":"The complexity of systems stems from the richness of the group interactions among their units. Classical networks exhibit identified limits in the study of complex systems, where links connect pairs of nodes, inability to comprehensively describe higher-order interactions in networks. Higher-order networks can enhance modeling capacities of group interaction networks and help understand and predict network dynamical behavior. This paper constructs a social hypernetwork with a group structure by analyzing a community overlapping structure and a network iterative relationship, and the overlapping relationship between communities is logically separated. Considering the different group behavior pattern and attention focus, we defined the group cognitive disparity, group credibility, group cohesion index, hyperedge strength to study the relationship between information dissemination and network evolution. This study shows that groups can alter the connected network through information propagation, and users in social networks tend to form highly connected groups or communities in information dissemination. Propagation networks with high clustering coefficients promote the fractal information dissemination, which in itself drives the fractal evolution of groups within the network. This study emphasizes the significant role of \"key groups\" with overlapping structures among communities in group network propagation. Real cases provide evidence for the clustering phenomenon and fractal evolution of networks.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142281130","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

Multifractal dimension spectrum analysis for nuclear density distribution. 核密度分布的多分形维谱分析。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0213717

Weihu Ma, Yu-Gang Ma, Wanbing He, Bo Zhou

引用次数: 0

Investigating the nonlinear dynamics of photosensitive Belousov-Zhabotinsky gels via bifurcation analyses. 通过分岔分析研究光敏贝洛索夫-扎博金斯基凝胶的非线性动力学。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0211349

Vandana Rajput, Pratyush Dayal

{"title":"Investigating the nonlinear dynamics of photosensitive Belousov-Zhabotinsky gels via bifurcation analyses.","authors":"Vandana Rajput, Pratyush Dayal","doi":"10.1063/5.0211349","DOIUrl":"https://doi.org/10.1063/5.0211349","url":null,"abstract":"Controlling the dynamics of active stimuli-responsive smart materials is essential to replicate the biomimetic functionalities at different length scales for a variety of biological systems-based applications. Photosensitive Belousov-Zhabotinsky (BZ) gels, powered by a nonlinear chemical oscillator, called a BZ reaction are one of the stimuli-responsive smart materials in demand due to their ability to continuously transduce chemical oscillations into mechanical deformations. The chemical oscillations in a BZ reaction and subsequent mechanical oscillations in photosensitive BZ gels occur due to the redox cycle of photosensitive ruthenium complex-based catalysts. In this work, our objective is to identify how the behavior of photosensitive BZ gels can be tuned and used for biomimetic applications by investigating its dynamical characteristics using bifurcation analyses. Specifically, we use the normal form approach and perform linear and nonlinear stability analyses to identify high-order bifurcations by computing higher-order Lyapunov and frequency coefficients. We revealed the existence of domains that encompass coexisting stable and unstable limit cycles (LCs), which merge to form a semi-stable LC at the limit point of cycle (LPC). Their existence shows how a slight variation in the BZ gel recipe can significantly alter its dynamics. Subsequently, we quantify the amplitude and frequency of oscillations in different domains under the effect of variation of BZ reaction formulations. We believe that the outcomes of our work serve as an efficient template for the design and control of BZ gel-based applications. The usage of a normal form and a systematic representation of nonlinear dynamics allow our framework to be extended for other nonlinear dynamical systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142342583","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

Evolution of trust in N-player trust games with loss assessment. 有损失评估的 N 人信任博弈中的信任演变。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0228886

Yuyuan Liu, Lichen Wang, Ruqiang Guo, Shijia Hua, Linjie Liu, Liang Zhang

{"title":"Evolution of trust in N-player trust games with loss assessment.","authors":"Yuyuan Liu, Lichen Wang, Ruqiang Guo, Shijia Hua, Linjie Liu, Liang Zhang","doi":"10.1063/5.0228886","DOIUrl":"https://doi.org/10.1063/5.0228886","url":null,"abstract":"Trust plays a crucial role in social and economic interactions, serving as the foundation for social stability and human cooperation. Previous studies have explored the evolution of trust between investors and trustees by constructing trust game models, incorporating factors such as network structure, reputation, and incentives. However, these studies often assume that investors consistently maintain their investment behavior, neglecting the potential influence of the investment environment on investment behavior. To address this gap, we introduce a loss assessment mechanism and construct a trust game model. Specifically, investors first allocate their investment amount to an assessment agency, which divides the amount into two parts according to a certain allocation ratio. One part is used for investment assessment, and the results are fed back to the investors. If the payoff from this portion exceeds the investors' expected value, the remaining amount is invested; otherwise, it is returned to the investors. The results indicate that investors with moderate expectations are more likely to form alliances with trustworthy trustees, thereby effectively promoting the evolution of trust. Conversely, lower or higher expectations yield opposite results. Additionally, we find that as investors' expected values increase, the corresponding allocation ratio should also increase to achieve higher payoffs.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142124980","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 walk in random permutation set theory. 随机排列集理论中的随机行走。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0220154

Jiefeng Zhou, Zhen Li, Yong Deng

引用次数: 0

Application of cross-channel multiscale permutation entropy in measuring multichannel data complexity. 在测量多通道数据复杂性中应用跨通道多尺度排列熵。

IF 2.7 2区数学

Chaos Pub Date : 2024-09-01 DOI: 10.1063/5.0223168

Weijia Li, Xiaohong Shen, Yaan Li, Zhe Chen, Yupeng Shen

{"title":"Application of cross-channel multiscale permutation entropy in measuring multichannel data complexity.","authors":"Weijia Li, Xiaohong Shen, Yaan Li, Zhe Chen, Yupeng Shen","doi":"10.1063/5.0223168","DOIUrl":"https://doi.org/10.1063/5.0223168","url":null,"abstract":"Entropy is a pivotal concept in nonlinear dynamics, revealing chaos, self-organization, and information transmission in complex systems. Permutation entropy, due to its computational efficiency and lower data length requirements, has found widespread use in various fields. However, in the age of multi-channel data, existing permutation entropy methods are limited in capturing cross-channel information. This paper presents cross-channel multiscale permutation entropy algorithm, and the proposed algorithm can effectively capture the cross-channel information of multi-channel dataset. The major modification lies in the concurrent frequency counting of specific events during the calculation steps. The algorithm improves phase space reconstruction and mapping, enhancing the capability of multi-channel permutation entropy methods to extract cross-channel information. Simulation and real-world multi-channel data analysis demonstrate the superiority of the proposed algorithm in distinguishing different types of data. The improvement is not limited to one specific algorithm and can be applied to various multi-channel permutation entropy variants, making them more effective in uncovering information across different channels.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142342669","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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