非线性共振基本模型中的Lyapunov指数

IF 1.4 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
I. I. Shevchenko
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引用次数: 0

摘要

研究了相互作用非线性共振多重体运动的李雅普诺夫指数和李雅普诺夫时标的解析估计问题。为此,我们基于分离矩阵映射理论阐述了一个统一的框架,该框架结合了摄动共振的第一个基本模型的早期方法(由摄动摆哈密顿量给出)和第二个基本模型的新方法(由摄动Andoyer哈密顿量给出)。在这个框架内,提出并讨论了太阳系内外子系统的李雅普诺夫时标的新的精确估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Lyapunov Exponents in Fundamental Models of Nonlinear Resonance

Lyapunov Exponents in Fundamental Models of Nonlinear Resonance

The problem of analytical estimation of the Lyapunov exponents and Lyapunov timescales of the motion in multiplets of interacting nonlinear resonances is considered. To this end, we elaborate a unified framework, based on the separatrix map theory, which incorporates both an earlier approach for the first fundamental model of perturbed resonance (given by the perturbed pendulum Hamiltonian) and a new one for its second fundamental model (given by the perturbed Andoyer Hamiltonian). Within this framework, new accurate estimates for the Lyapunov timescales of the inner and outer subsystems of the Solar planetary system are presented and discussed.

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来源期刊
JETP Letters
JETP Letters 物理-物理:综合
CiteScore
2.40
自引率
30.80%
发文量
164
审稿时长
3-6 weeks
期刊介绍: All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.
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