三维系统的动力学特性与能量-卡西米尔映射图像之间的联系

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/dcds.2023126

Mingxing Xu, Shaoyun Shi, Kaiyin Huang

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引用次数: 0

摘要

研究了一类三维系统的动力学性质与能量-卡西米尔映射图像的几何特征之间的联系。通过研究这类系统的能量-卡西米尔映射，我们可以探讨平衡态的稳定性、周期解的分布以及同斜轨道或异斜轨道的存在性。我们应用我们的发现来研究两个特定方程的动态行为，并为这两个系统提供了能量-卡西米尔映射纤维的拓扑分类。

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The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping

We investigate the connection between the dynamical properties of a class of 3D systems and the geometric characteristics of the image of the energy-Casimir mapping. By examining the energy-Casimir mapping for such systems, we can explore the stability of the equilibrium states, the distribution of the periodic solutions, and the existence of homoclinic or heteroclinic orbits. We apply our findings to investigate the dynamic behavior of two specific equations, and provide a topological classification of the fibers of the energy-Casimir mapping for the two systems.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.