On impulse stabilization of chaotic Chen system

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.