Caputo分数阶系统非双曲平衡点的定性稳定性分析

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-02-22 DOI:10.22034/CMDE.2021.41486.1799

Marvin Hoti

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引用次数: 0

摘要

本文用卡普托导数提出了平面动力系统非双曲平衡点流动的中心流形约简。利用分数阶Lyapunov直接方法，证明了非双曲平衡点在适当条件下是局部渐近稳定的。

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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Qualitative Stability Analysis of a Non-Hyperbolic Equilibrium Point of a Caputo Fractional System

In this manuscript a center manifold reduction of the flow of a non-hyperbolic equilibrium point on a planar dynamical system with the Caputo derivative is proposed. The stability of the non-hyperbolic equilibrium point is shown to be locally asymptotically stable, under suitable conditions, by using the fractional Lyapunov direct method.

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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