具有两波的一粒子的哈密顿混沌：自洽动力学。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-05-01 DOI:10.1063/5.0261013

Matheus J Lazarotto, Iberê L Caldas, Yves Elskens

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引用次数: 0

摘要

本文研究了波粒相互作用的一个简单模型的自洽形式，即允许粒子对波动动力学进行反馈。我们关注锁定解（平衡）的构型以及能量动量交换机制如何在模型中引起混沌。当我们探索系统时，我们分析了导致锁定状态的数学结构，以及模型的非线性如何使波具有多个平衡振幅。我们还解释了当我们改变控制参数时，规律性的优势以及在有限参数选择下出现混沌的机制。

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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Hamiltonian chaos for one particle with two waves: Self-consistent dynamics.

A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the wave dynamics. We focus on the configurations of locked solutions (equilibria) and how the energy-momentum exchange mechanism induces chaos in the model. As we explore the system, we analyze the mathematical structure that gives rise to locked states and how the model's non-linearity enables multiple equilibrium amplitudes for waves. We also explain the predominance of regularity as we vary the control parameters and the mechanism behind the emergence of chaos under limited parameter choices.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.