Abstract:
The concepts of chaotic systems and systems of differential equations with impulse action are formulated. Chen's chaotic system is considered. It is a system of three ordinary differential equations admitting a zero solution which is Lyapunov unstable. The problem of stabilization of this solution is posed. This problem is solved by two methods: by impulsive actions at fixed points in time and by impulsive actions that occur on some set of phase space.
Key words:systems of differential equations with impulse action, Chen system, stabilization.
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