2011•Unpublished venueRequires access

A novel chaotic system and its anti-synchronization

Qingmei Shi, Liangrui Tang, Lin Zhao

Abstract

A novel chaotic system is presented in this paper. The basic dynamic properties of it are investigated including equilibrium points, Lyapunov exponents and Lyapunov dimension, Poincare maps and so on. Based on Lyapunov stability theory, anti-synchronization of the systems with the same structure is realized when the parameters are known. The simulation results demonstrate the feasibility and effectiveness of the method.

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Key concepts: Lyapunov exponent, Synchronization (alternating current), Synchronization of chaos, Chaotic, Dimension (graph theory), Lyapunov function, Control theory (sociology), Lyapunov stability