Synchronization for a new proposed chaotic system based on impulsive control theory is presented. This new chaotic oscillator is a third order polynomial system (Jerk system), which was developed after the addition of a third state and innovation terms to the well known second order Van der Pol oscillator. The chaotic behavior of this new system is confirmed by using Lyapunov exponents, Poincaré maps, Fourier spectrum analysis and numerical experiments. Impulsive synchronization is achieved using just one channel of communication.
The problem of dynamical system's synchronization and signal transmission is considered. The goal is to achieve synchronization via ohsewer design using parametric control theory. To attend this problem we shall analyze the Chua system and optimize the time and energy necessary to synchronize a couple of Chua's systems.
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