2009•Journal of Gansu Lianhe UniversityRequires access

Studying on a new Chaotic System and Its Synchronization

Zhang Li

Abstract

In this paper,the new chaotic system is proposed. Its basic dynamical behaviors,such as the phase portraits,the power spectrum and the Lyapunov exponents were studied. The influence of system parameter on the chaotic system was investigated through Lyapunov-exponent spectrum and global bifurcation diagram. At last,the active control and nonlinear-feedback control laws were utilized to implement the chaos anti-synchronization,the theoretical analysis and numerical simulation show the effectiveness of these control laws.

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Available abstract

Key concepts: Phase portrait, Lyapunov exponent, Chaotic, Bifurcation diagram, Synchronization (alternating current), Synchronization of chaos, Control theory (sociology), Nonlinear system