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Abstract <p>The concepts of chaotic systems and systems of differential equations with impulsive action are formulated. Chen’s chaotic system is considered. This is a system of three ordinary differential equations that admits a zero solution which is unstable in the Lyapunov sense. The problem of stabilizing this solution is formulated. This problem is solved by two methods: using impulse actions at fixed moments of time and using impulsive actions that occur on a certain set of phase space.</p>

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On Impulsive Stabilization of Chen’s Chaotic System

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • A. O. Ignatyev

摘要

Abstract

The concepts of chaotic systems and systems of differential equations with impulsive action are formulated. Chen’s chaotic system is considered. This is a system of three ordinary differential equations that admits a zero solution which is unstable in the Lyapunov sense. The problem of stabilizing this solution is formulated. This problem is solved by two methods: using impulse actions at fixed moments of time and using impulsive actions that occur on a certain set of phase space.