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Focus issue on recent advances in adaptive dynamical networks. 关注自适应动态网络的最新进展。
IF 3.2 2区 数学
Chaos Pub Date : 2025-10-01 DOI: 10.1063/5.0300039
Serhiy Yanchuk, Erik Andreas Martens, Christian Kuehn, Jürgen Kurths
{"title":"Focus issue on recent advances in adaptive dynamical networks.","authors":"Serhiy Yanchuk, Erik Andreas Martens, Christian Kuehn, Jürgen Kurths","doi":"10.1063/5.0300039","DOIUrl":"https://doi.org/10.1063/5.0300039","url":null,"abstract":"<p><p>Adaptive dynamical networks (ADNs) describe systems in which the states of the network nodes and the network structure itself co-evolve over time. This interplay of two coupled dynamical processes underlies a wide range of natural and technological phenomena, such as neural plasticity, learning, and opinion formation. The inherently co-evolutionary nature of ADNs poses significant challenges to mathematical theory and modeling, driving strong interest and rapid advances in recent years. This Focus Issue presents 25 research articles highlighting recent developments in the field, including new analytical and computational techniques, the discovery of novel dynamical phenomena in ADNs, and diverse applications of ADNs in neuroscience, Earth science, biology, social sciences, machine learning and control.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 10","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145198633","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
Adversarial control of synchronization in complex oscillator networks. 复杂振荡器网络同步的对抗控制。
IF 3.2 2区 数学
Chaos Pub Date : 2025-10-01 DOI: 10.1063/5.0284213
Yasutoshi Nagahama, Kosuke Miyazato, Kazuhiro Takemoto
{"title":"Adversarial control of synchronization in complex oscillator networks.","authors":"Yasutoshi Nagahama, Kosuke Miyazato, Kazuhiro Takemoto","doi":"10.1063/5.0284213","DOIUrl":"https://doi.org/10.1063/5.0284213","url":null,"abstract":"<p><p>This study investigates perturbation strategies inspired by adversarial attack principles from deep learning, designed to control synchronization dynamics through strategically crafted weak perturbations. We propose a gradient-based optimization method that identifies small phase perturbations to dramatically enhance or suppress collective synchronization in Kuramoto oscillator networks. Our approach formulates synchronization control as an optimization problem, computing gradients of the order parameter with respect to oscillator phases to determine optimal perturbation directions. Results demonstrate that extremely small phase perturbations applied to network oscillators can achieve significant synchronization control across diverse network architectures. Our analysis reveals that synchronization enhancement is achievable across various network sizes, while synchronization suppression becomes particularly effective in larger networks, with effectiveness scaling favorably with the network size. The method is systematically validated on canonical model networks including scale-free and small-world topologies and real-world networks representing power grids and brain connectivity patterns. This adversarial framework represents a novel paradigm for synchronization management by introducing deep learning concepts to networked dynamical systems.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 10","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145211878","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
Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm. 非马尔可夫开放量子系统中的量子混沌:干涉OTOC、洛施密特回波和换向算子范数。
IF 3.2 2区 数学
Chaos Pub Date : 2025-10-01 DOI: 10.1063/5.0275096
Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee
{"title":"Quantum chaos in non-Markovian open quantum systems: Interferometric OTOC, Loschmidt echo, and commutator operator norm.","authors":"Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee","doi":"10.1063/5.0275096","DOIUrl":"https://doi.org/10.1063/5.0275096","url":null,"abstract":"<p><p>Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate the OTOC and analyze the quantum information scrambling in atom-field and spin-spin interaction models, which are open-system models and exhibit non-Markovian behavior. We also examine the Loschmidt echo for these models and comment on their chaotic nature. The commutator growth of two local operators, which is upper bounded by the Lieb-Robinson bound, is studied for these models, and the patterns of scrambling are investigated.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 10","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145211941","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
The impact of historical-behavior-based asymmetric reputation and deposit mechanisms on the evolutionary spatial public goods game. 基于历史行为的不对称声誉和存款机制对演化空间公共物品博弈的影响。
IF 3.2 2区 数学
Chaos Pub Date : 2025-10-01 DOI: 10.1063/5.0293944
Qingyi Chen, Xiangyue Peng, Hongwei Kang, Yong Shen, Xingping Sun
{"title":"The impact of historical-behavior-based asymmetric reputation and deposit mechanisms on the evolutionary spatial public goods game.","authors":"Qingyi Chen, Xiangyue Peng, Hongwei Kang, Yong Shen, Xingping Sun","doi":"10.1063/5.0293944","DOIUrl":"https://doi.org/10.1063/5.0293944","url":null,"abstract":"<p><p>In the context of interpersonal interactions in human society, reputation serves as an important indicator for evaluating an individual's behavior. Typically, low-reputation individuals are required to face additional constraints before taking certain actions. Moreover, an individual's reputation often exhibits asymmetric dynamics: trust is difficult to build but can be lost instantly. Therefore, this paper proposes a novel spatial public goods game model that integrates historical-behavior-based asymmetric reputation with a deposit mechanism. In this model, the growth or decay of individual reputation is modeled using distinct functions based on the number of consecutive rounds an individual maintains cooperation or defection. Low-reputation individuals are required to pay a deposit into the investment pool before the game; cooperators can reclaim this deposit as a reward, while defectors forfeit it. Simulation results show that the deposit mechanism serves as a powerful driver of cooperation, significantly reducing the critical enhancement factor required for the emergence of cooperation. The reputation threshold plays a crucial role in the evolution of cooperation: moderately increasing the threshold effectively promotes cooperation but exhibits a pronounced diminishing marginal effect. Adjusting the sensitivity of reputation to historical behavior also notably influences group cooperation levels. Furthermore, comprehensive analyses through heatmaps, snapshots, and other graphical data reveal that deposit amounts and reputation thresholds are the two core prerequisites for the emergence of cooperation. Their combined effects ultimately drive the realization of global cooperation.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 10","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145249957","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
Entropy production rate and time-reversibility for general jump diffusions on RRn. RRn上一般跳跃扩散的熵产率和时间可逆性。
IF 3.2 2区 数学
Chaos Pub Date : 2025-10-01 DOI: 10.1063/5.0293862
Qi Zhang, Yubin Lu
{"title":"Entropy production rate and time-reversibility for general jump diffusions on RRn.","authors":"Qi Zhang, Yubin Lu","doi":"10.1063/5.0293862","DOIUrl":"https://doi.org/10.1063/5.0293862","url":null,"abstract":"<p><p>This paper investigates the entropy production rate and time-reversibility for general jump diffusions (Lévy processes) on Rn. We first formulate the entropy production rate and explore its associated thermodynamic relations for jump diffusions. Subsequently, we derive the entropy production rate using the relative entropy between the forward and time-reversed path measures for stationary jump diffusions via the Girsanov transform. Furthermore, we establish the equivalence among time-reversibility, zero entropy production rate, detailed balance condition, and the gradient structure for stationary jump diffusions.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 10","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145198641","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
Structure analysis of the Lorenz-84 chaotic attractor. Lorenz-84混沌吸引子的结构分析。
IF 3.2 2区 数学
Chaos Pub Date : 2025-10-01 DOI: 10.1063/5.0287725
M Rosalie, S Mangiarotti
{"title":"Structure analysis of the Lorenz-84 chaotic attractor.","authors":"M Rosalie, S Mangiarotti","doi":"10.1063/5.0287725","DOIUrl":"https://doi.org/10.1063/5.0287725","url":null,"abstract":"<p><p>The structure of the Lorenz-84 attractor is investigated in this study. Its dynamics belonging to weakly dissipative chaos, classical approaches cannot be used to analyze its structure. The color tracer mapping is introduced for this purpose and used to extract the three-dimensional structure of the attractor. The analysis shows that the attractor is a nontrivial case of toroidal chaos: it is organized around a period-2 cavity. Moreover, the structure reveals a new mechanism generating chaos in the attractor: a multidirectional stretching. The attractor structure is then artificially represented on a two-dimensional branched manifold, and its validation is performed using a set of periodic orbits previously extracted.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 10","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145198644","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
Low-dimensional Watanabe-Strogatz approach for Kuramoto oscillators with higher-order interactions. 具有高阶相互作用的Kuramoto振子的低维Watanabe-Strogatz方法。
IF 3.2 2区 数学
Chaos Pub Date : 2025-09-01 DOI: 10.1063/5.0283600
Jayesh C Jain, Sarika Jalan
{"title":"Low-dimensional Watanabe-Strogatz approach for Kuramoto oscillators with higher-order interactions.","authors":"Jayesh C Jain, Sarika Jalan","doi":"10.1063/5.0283600","DOIUrl":"https://doi.org/10.1063/5.0283600","url":null,"abstract":"<p><p>Watanabe-Strogatz theory provides a low-dimensional description of identical Kuramoto oscillators via the framework of the Möbius transformation. Here, using the Watanabe-Strogatz theory, we provide a unifying description for a broad class of identical Kuramoto oscillator models with pairwise and higher-order interactions and their corresponding higher harmonics. We show that the dynamics of the Watanabe-Strogatz parameters are the same as those of the mean-field parameters. Additionally, the poles of the Möbius transformation serve as basin boundaries for both global and cluster synchronization in the models discussed here. We present numerical simulations that illustrate how the basin boundaries evolve for these extended models.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 9","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144991668","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
Lag-mediated control of explosive synchronization transitions in adaptive multilayer networks with higher-order interactions. 具有高阶相互作用的自适应多层网络中爆炸同步过渡的滞后调节控制。
IF 3.2 2区 数学
Chaos Pub Date : 2025-09-01 DOI: 10.1063/5.0289362
Richita Ghosh, Md Sayeed Anwar, Manish Dev Shrimali, Dibakar Ghosh
{"title":"Lag-mediated control of explosive synchronization transitions in adaptive multilayer networks with higher-order interactions.","authors":"Richita Ghosh, Md Sayeed Anwar, Manish Dev Shrimali, Dibakar Ghosh","doi":"10.1063/5.0289362","DOIUrl":"https://doi.org/10.1063/5.0289362","url":null,"abstract":"<p><p>Recent findings suggest that higher-order (group) interactions provide a general pathway to explosive phenomena in networks of coupled oscillators. While these abrupt, first-order transitions, termed explosive synchronization, are of significant theoretical interest, they are often undesirable and potentially dangerous in many real-world systems. Motivated by this, we investigate a control mechanism to suppress explosive synchronization in adaptive multilayer networks incorporating higher-order interactions by introducing a phase lag into the system. By appropriately tuning the adaptation exponents and the phase frustration parameter, we demonstrate that phase lag effectively mitigates explosive behavior even in the presence of higher-order interactions, converting the transition from first order to second order. As the phase lag increases, the hysteresis width progressively narrows, and the abrupt transition gives way to a smooth, continuous one. This taming effect remains robust in real-world networks, such as the Macaque brain network. Overall, our study explores an effective control strategy for explosive synchronization and advances our understanding of how critical collective dynamics can be regulated in both synthetic and biological complex systems.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 9","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144999691","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 non-volatility of memristor on the synchronizability of memristor-coupled heterogeneous neurons. 忆阻器非挥发性对忆阻器耦合异质神经元同步性的影响。
IF 3.2 2区 数学
Chaos Pub Date : 2025-09-01 DOI: 10.1063/5.0278929
Lin Yan, Tao Luo, Zhiyong Liu, Weiqing Liu
{"title":"Effects of non-volatility of memristor on the synchronizability of memristor-coupled heterogeneous neurons.","authors":"Lin Yan, Tao Luo, Zhiyong Liu, Weiqing Liu","doi":"10.1063/5.0278929","DOIUrl":"https://doi.org/10.1063/5.0278929","url":null,"abstract":"<p><p>Synaptic plasticity is of great significance for understanding the leaning and memory processes in different brain regions since it determines the synchronized firing activities of neurons. A volatility-switchable memristor-coupled heterogeneous neuron model is proposed to explore the effects of the synaptic plasticity on the synchronous dynamics of coupled neurons in different brain regions. With the increment of the non-volatility, the critical coupling strength of synchronization between two heterogeneous neurons decreases in a power-law relationship with the character parameter of the memristor. The critical coupling strength for synchronization of the memristor-coupled heterogeneous neurons under different volatility of the memristor is predicted theoretically with the Lipschitz theorem. The non-volatile memristor is proven to be beneficial to reach synchronization between the memristor-coupled neurons. Finally, a neuron circuit was designed in Power Simulation to observe and validate the influence of non-volatility on system synchronization. The effects of the non-volatility of a memristor efficiently emulate the long-term synaptic plasticity and may contribute to understanding the mechanisms of neuron signal transmission and processing.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 9","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144999726","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
Vegetation pattern formation and community assembly under drying climate trends. 干旱气候趋势下植被格局形成与群落聚集。
IF 3.2 2区 数学
Chaos Pub Date : 2025-09-01 DOI: 10.1063/5.0241537
Michel A Ferré, Induja Pavithran, Bidesh K Bera, Hannes Uecker, Ehud Meron
{"title":"Vegetation pattern formation and community assembly under drying climate trends.","authors":"Michel A Ferré, Induja Pavithran, Bidesh K Bera, Hannes Uecker, Ehud Meron","doi":"10.1063/5.0241537","DOIUrl":"https://doi.org/10.1063/5.0241537","url":null,"abstract":"<p><p>Drying trends driven by climate change and the water stress they entail threaten ecosystem functioning and the services they provide to humans. To get a better understanding of an ecosystem response to drying trends, we study a mathematical model of plant communities that compete for water and light. We focus on two major responses to water stress: community shifts to stress-tolerant species and spatial self-organization in periodic vegetation patterns. We calculate community bifurcation diagrams of spatially uniform and spatially periodic communities and find that while a spatially uniform community shifts from fast-growing to stress-tolerant species as precipitation decreases, a shift back to fast-growing species occurs when a Turing bifurcation is traversed and patterns form. We further find that the inherent spatial plasticity of vegetation patterns, in terms of patch thinning along any periodic solution branch and patch dilution in transitions to longer-wavelength patterns, buffers further changes in the community composition, despite the drying trend, and yet increases the resilience to droughts. Response trajectories superimposed on community Busse balloons highlight the roles of the initial pattern wavelength and of the rate of the drying trend in shaping the buffering community dynamics. The significance of these results for dryland pastures and crop production is discussed.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 9","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144999743","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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