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Chaos: An Interdisciplinary Journal of Nonlinear Science最新文献

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Critical transition of thermal rectification on complex networks 复杂网络中热整流的临界过渡
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-08-01 DOI: 10.1063/5.0158733
Kezhao Xiong, Man Zhou, Wei Liu, C. Zeng, Zheng-xin Yan
{"title":"Critical transition of thermal rectification on complex networks","authors":"Kezhao Xiong, Man Zhou, Wei Liu, C. Zeng, Zheng-xin Yan","doi":"10.1063/5.0158733","DOIUrl":"https://doi.org/10.1063/5.0158733","url":null,"abstract":"Thermal rectification is a mechanism that controls the direction of heat conduction, allowing it to flow freely in one direction and hindering it in the opposite direction. In this study, we propose a heat conduction model on a complex network where the node masses are non-uniformly distributed according to mi∼kiα. Our findings show that the existence of a critical point, α=1, determines the working mode of thermal rectification. For α>1, the working mode of thermal rectification is positive, whereas for α<1, the working mode is negative. Additionally, we discovered that this critical transition is a general phenomenon and does not vary with changes in network size, average degree, or degree distribution. By conducting theoretical analyses based on phonon spectra, we also identified the physical mechanism of the critical transition. These results provide a new approach to implement and enrich thermal diodes, opening up new possibilities for more efficient thermal management.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130629944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components 将加密货币高频价格动态分解为重复和嘈杂的组件
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-06-29 DOI: 10.1063/5.0165635
M. Wątorek, Maria Skupień, J. Kwapień, S. Drożdż
{"title":"Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components","authors":"M. Wątorek, Maria Skupień, J. Kwapień, S. Drożdż","doi":"10.1063/5.0165635","DOIUrl":"https://doi.org/10.1063/5.0165635","url":null,"abstract":"This paper investigates the temporal patterns of activity in the cryptocurrency market with a focus on Bitcoin, Ethereum, Dogecoin, and WINkLink from January 2020 to December 2022. Market activity measures—logarithmic returns, volume, and transaction number, sampled every 10 s, were divided into intraday and intraweek periods and then further decomposed into recurring and noise components via correlation matrix formalism. The key findings include the distinctive market behavior from traditional stock markets due to the nonexistence of trade opening and closing. This was manifested in three enhanced-activity phases aligning with Asian, European, and U.S. trading sessions. An intriguing pattern of activity surge in 15-min intervals, particularly at full hours, was also noticed, implying the potential role of algorithmic trading. Most notably, recurring bursts of activity in bitcoin and ether were identified to coincide with the release times of significant U.S. macroeconomic reports, such as Nonfarm payrolls, Consumer Price Index data, and Federal Reserve statements. The most correlated daily patterns of activity occurred in 2022, possibly reflecting the documented correlations with U.S. stock indices in the same period. Factors that are external to the inner market dynamics are found to be responsible for the repeatable components of the market dynamics, while the internal factors appear to be substantially random, which manifests itself in a good agreement between the empirical eigenvalue distributions in their bulk and the random-matrix theory predictions expressed by the Marchenko–Pastur distribution. The findings reported support the growing integration of cryptocurrencies into the global financial markets.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125324413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Traveling waves in a model for cortical spreading depolarization with slow–fast dynamics 慢-快动力学皮质扩张性去极化模型中的行波
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-06-14 DOI: 10.1063/5.0160509
David Reyner-Parra, C. Bonet, T. Seara, G. Huguet
{"title":"Traveling waves in a model for cortical spreading depolarization with slow–fast dynamics","authors":"David Reyner-Parra, C. Bonet, T. Seara, G. Huguet","doi":"10.1063/5.0160509","DOIUrl":"https://doi.org/10.1063/5.0160509","url":null,"abstract":"Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated with various brain disorders such as migraine and ischemia. We consider a reduced version of a biophysical model of a neuron–astrocyte network for the initiation and propagation of CSD waves [Huguet et al., Biophys. J. 111(2), 452–462, 2016], consisting of reaction-diffusion equations. The reduced model considers only the dynamics of the neuronal and astrocytic membrane potentials and the extracellular potassium concentration, capturing the instigation process implicated in such waves. We present a computational and mathematical framework based on the parameterization method and singular perturbation theory to provide semi-analytical results on the existence of a wave solution and to compute it jointly with its velocity of propagation. The traveling wave solution can be seen as a heteroclinic connection of an associated system of ordinary differential equations with a slow–fast dynamics. The presence of distinct time scales within the system introduces numerical instabilities, which we successfully address through the identification of significant invariant manifolds and the implementation of the parameterization method. Our results provide a methodology that allows to identify efficiently and accurately the mechanisms responsible for the initiation of these waves and the wave propagation velocity.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114761778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The chaotic milling behaviors of interacting swarms after collision 相互作用的群体碰撞后的混沌铣削行为
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-05-24 DOI: 10.1063/5.0159522
Sayomi Kamimoto, J. Hindes, I. Schwartz
{"title":"The chaotic milling behaviors of interacting swarms after collision","authors":"Sayomi Kamimoto, J. Hindes, I. Schwartz","doi":"10.1063/5.0159522","DOIUrl":"https://doi.org/10.1063/5.0159522","url":null,"abstract":"We consider the problem of characterizing the dynamics of interacting swarms after they collide and form a stationary center of mass. Modeling efforts have shown that the collision of near head-on interacting swarms can produce a variety of post-collision dynamics including coherent milling, coherent flocking, and scattering behaviors. In particular, recent analysis of the transient dynamics of two colliding swarms has revealed the existence of a critical transition whereby the collision results in a combined milling state about a stationary center of mass. In the present work, we show that the collision dynamics of two swarms that form a milling state transitions from periodic to chaotic motion as a function of the repulsive force strength and its length scale. We used two existing methods as well as one new technique: Karhunen–Loeve decomposition to show the effective modal dimension chaos lives in, the 0-1 test to identify chaos, and then constrained correlation embedding to show how each swarm is embedded in the other when both swarms combine to form a single milling state after collision. We expect our analysis to impact new swarm experiments which examine the interaction of multiple swarms.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126335311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Referee acknowledgment for 2022 2022年裁判认可
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-05-01 DOI: 10.1063/5.0153946
Jürgen Kurths
{"title":"Referee acknowledgment for 2022","authors":"Jürgen Kurths","doi":"10.1063/5.0153946","DOIUrl":"https://doi.org/10.1063/5.0153946","url":null,"abstract":"","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"30 19","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132273679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Controlling pulse stability in singularly perturbed reaction-diffusion systems 奇摄动反应扩散系统脉冲稳定性控制
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-04-06 DOI: 10.1063/5.0152695
Frits Veerman, I. Schneider
{"title":"Controlling pulse stability in singularly perturbed reaction-diffusion systems","authors":"Frits Veerman, I. Schneider","doi":"10.1063/5.0152695","DOIUrl":"https://doi.org/10.1063/5.0152695","url":null,"abstract":"The aim of this paper is to investigate the use of Pyragas control on the stability of stationary, localized coherent structures in a general class of two-component, singularly perturbed, reaction-diffusion systems. We use noninvasive Pyragas-like proportional feedback control to stabilize a singular pulse solution to a two-component, singularly perturbed reaction-diffusion system. We show that in a significant region of parameter space, the control can be adjusted to stabilize an otherwise unstable pulse.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125870612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Arbitrarily large heteroclinic networks in fixed low-dimensional state space 固定低维状态空间中的任意大型异斜网络
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-03-31 DOI: 10.1063/5.0156192
S. Castro, Alexander Lohse
{"title":"Arbitrarily large heteroclinic networks in fixed low-dimensional state space","authors":"S. Castro, Alexander Lohse","doi":"10.1063/5.0156192","DOIUrl":"https://doi.org/10.1063/5.0156192","url":null,"abstract":"We consider heteroclinic networks between n∈N nodes where the only connections are those linking each node to its two subsequent neighboring ones. Using a construction method where all nodes are placed in a single one-dimensional space and the connections lie in coordinate planes, we show that it is possible to robustly realize these networks in R6 for any number of nodes n using a polynomial vector field. This bound on the space dimension (while the number of nodes in the network goes to ∞) is a novel phenomenon and a step toward more efficient realization methods for given connection structures in terms of the required number of space dimensions. We briefly discuss some stability properties of the generated heteroclinic objects.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130144635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An introduction to the unpublished book “Reflections on a Tube” by Mitchell J. Feigenbaum 米切尔·j·费根鲍姆(Mitchell J. Feigenbaum)未出版的书《地铁上的思考》(Reflections on a Tube)的介绍
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-03-06 DOI: 10.1063/5.0149428
J. Eckmann
{"title":"An introduction to the unpublished book “Reflections on a Tube” by Mitchell J. Feigenbaum","authors":"J. Eckmann","doi":"10.1063/5.0149428","DOIUrl":"https://doi.org/10.1063/5.0149428","url":null,"abstract":"This paper is an adaptation of the introduction to a book project by the late Mitchell J. Feigenbaum (1944–2019). While Feigenbaum is certainly mostly known for his theory of period doubling cascades, he had a lifelong interest in optics. His book project is an extremely original discussion of the apparently very simple study of anamorphs, that is, the reflections of images on a cylindrical mirror. He observed that there are two images to be seen in the tube and discovered that the brain preferentially chooses one of them. I edited and wrote an introduction to this planned book. As the book is still not published, I have now adapted my introduction as a standalone article so that some of Feigenbaum’s remarkable work will be accessible to a larger audience.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129879205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extreme multistability in symmetrically coupled clocks 对称耦合时钟中的极端多稳定性
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2023-02-07 DOI: 10.1063/5.0145733
Zhen Su, Jürgen Kurths, Yaru Liu, S. Yanchuk
{"title":"Extreme multistability in symmetrically coupled clocks","authors":"Zhen Su, Jürgen Kurths, Yaru Liu, S. Yanchuk","doi":"10.1063/5.0145733","DOIUrl":"https://doi.org/10.1063/5.0145733","url":null,"abstract":"Extreme multistability (EM) is characterized by the emergence of infinitely many coexisting attractors or continuous families of stable states in dynamical systems. EM implies complex and hardly predictable asymptotic dynamical behavior. We analyze a model for pendulum clocks coupled by springs and suspended on an oscillating base and show how EM can be induced in this system by specifically designed coupling. First, we uncover that symmetric coupling can increase the dynamical complexity. In particular, the coexistence of multiple isolated attractors and continuous families of stable periodic states is generated in a symmetric cross-coupling scheme of four pendulums. These coexisting infinitely many states are characterized by different levels of phase synchronization between the pendulums, including anti-phase and in-phase states. Some of the states are characterized by splitting of the pendulums into groups with silent sub-threshold and oscillating behavior, respectively. The analysis of the basins of attraction further reveals the complex dependence of EM on initial conditions.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125649269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks with electrostatic fluctuations 带静电波动的托卡马克中混沌粒子漂移运动的分形和和田逃逸盆地
Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2022-12-20 DOI: 10.1063/5.0147679
L. Souza, A. C. Mathias, I. Caldas, Y. Elskens, R. Viana
{"title":"Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks with electrostatic fluctuations","authors":"L. Souza, A. C. Mathias, I. Caldas, Y. Elskens, R. Viana","doi":"10.1063/5.0147679","DOIUrl":"https://doi.org/10.1063/5.0147679","url":null,"abstract":"The E×B drift motion of particles in tokamaks provides valuable information on the turbulence-driven anomalous transport. One of the characteristic features of the drift motion dynamics is the presence of chaotic orbits for which the guiding center can experience large-scale drifts. If one or more exits are placed so that they intercept chaotic orbits, the corresponding escape basins structure is complicated and, indeed, exhibits fractal structures. We investigate those structures through a number of numerical diagnostics, tailored to quantify the final-state uncertainty related to the fractal escape basins. We estimate the escape basin boundary dimension through the uncertainty exponent method and quantify final-state uncertainty by the basin entropy and the basin boundary entropy. Finally, we recall the Wada property for the case of three or more escape basins. This property is verified both qualitatively and quantitatively using a grid approach.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130240041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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