Filippov型不连续动力系统的Lyapunov指数

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2020-08-01 DOI:10.22034/CMDE.2020.30174.1446

Z. Monfared, Z. Dadi, Z. Afsharnezhad

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引用次数: 0

摘要

不连续动力系统几乎是一个年轻的研究领域，分析这些系统的热情和必要性一直在增长。另一方面，混沌出现在相当广泛的不连续系统中。混沌最重要的性质之一是对初始条件的敏感依赖。此外，诊断混沌系统最有效的方法是定义这些系统的李雅普诺夫指数。此外，定义和计算所有不连续系统的李雅普诺夫指数是真正的挑战。本文定义了非连续Filippov型动力系统的Lyapunov指数，以研究这些系统的混沌问题。

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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Lyapunov exponents for discontinuous dynamical systems of Filippov type

‎The area of discontinuous dynamical systems is almost a young research area, and the enthusiasm and necessity for analysing these systems have been growing‎. ‎On the other hand‎, ‎chaos appears in a rather wide class of discontinuous systems‎. ‎One of the most important properties of chaos is sensitive dependence on initial conditions‎. ‎Also,‎ the most effective way to diagnosis chaotic systems is defining Lyapunov exponents of these systems‎. ‎In addition‎, ‎defining and calculating Lyapunov exponents for all discontinuous systems are real challenges‎. ‎This paper is devoted to define Lyapunov exponents for discontinuous dynamical systems of Filippov type in order to investigate chaos for these systems‎.

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来源期刊

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks