Application of joint singularity spectrum to analyze cooperative dynamics of complex systems

IF 0.5 Q4 PHYSICS, MULTIDISCIPLINARY

Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika Pub Date : 2023-01-01 DOI:10.18500/0869-6632-003041

German Guyo, Aleksej Pavlov

引用次数: 0

Abstract

Purpose of this work is to generalize the wavelet-transform modulus maxima method to the case of cooperative dynamics of interacting systems and to introduce the joint singularity spectrum into consideration. The research method is the wavelet-based multifractal formalism, the generalized version of which is used to quantitatively describe the effect of chaotic synchronization in the dynamics of model systems. Models of coupled Rossler systems and paired nephrons are considered. As a result of the studies carried out, the main changes in the joint singularity spectra were noted during the transition from synchronous to asynchronous oscillations in the first model and to the partial synchronization mode in the second model. Conclusion. Proposed approach can be used in studies of the cooperative dynamics of systems of various nature.

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联合奇异谱在复杂系统协同动力学分析中的应用

本文的目的是将小波变换模极大值法推广到相互作用系统的协同动力学问题，并引入联合奇异谱。研究方法是基于小波的多重分形形式，利用广义分形形式定量描述混沌同步对模型系统动力学的影响。考虑了耦合罗斯勒系统和成对肾元的模型。研究结果表明，在第一个模型中由同步振动向异步振动转变，在第二个模型中由部分同步振动转变的过程中，关节奇异谱发生了主要变化。结论。该方法可用于研究各种性质系统的合作动力学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.20

自引率

25.00%

发文量

期刊介绍： Scientific and technical journal Izvestiya VUZ. Applied Nonlinear Dynamics is an original interdisciplinary publication of wide focus. The journal is included in the List of periodic scientific and technical publications of the Russian Federation, recommended for doctoral thesis publications of State Commission for Academic Degrees and Titles at the Ministry of Education and Science of the Russian Federation, indexed by Scopus, RSCI. The journal is published in Russian (English articles are also acceptable, with the possibility of publishing selected articles in other languages by agreement with the editors), the articles data as well as abstracts, keywords and references are consistently translated into English. First and foremost the journal publishes original research in the following areas: -Nonlinear Waves. Solitons. Autowaves. Self-Organization. -Bifurcation in Dynamical Systems. Deterministic Chaos. Quantum Chaos. -Applied Problems of Nonlinear Oscillation and Wave Theory. -Modeling of Global Processes. Nonlinear Dynamics and Humanities. -Innovations in Applied Physics. -Nonlinear Dynamics and Neuroscience. All articles are consistently sent for independent, anonymous peer review by leading experts in the relevant fields, the decision to publish is made by the Editorial Board and is based on the review. In complicated and disputable cases it is possible to review the manuscript twice or three times. The journal publishes review papers, educational papers, related to the history of science and technology articles in the following sections: -Reviews of Actual Problems of Nonlinear Dynamics. -Science for Education. Methodical Papers. -History of Nonlinear Dynamics. Personalia.