Abstract <p>The concepts of chaotic systems and systems of differential equations with impulsive action are formulated. A method for stabilizing the zero solution of the chaotic Lorenz system by means of impulsive actions that occur on a certain set of the phase space is proposed.</p>

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On the Impulse Stabilization of the Lorenz System

  • A. O. Ignatyev

摘要

Abstract

The concepts of chaotic systems and systems of differential equations with impulsive action are formulated. A method for stabilizing the zero solution of the chaotic Lorenz system by means of impulsive actions that occur on a certain set of the phase space is proposed.