Dynamical properties and synchronization analysis for a complex nonlinear systems
一种复非线性系统的动力学特性和同步分析

This paper introduces a new complex nonlinear system and studies their dynamic properties including the invariance, dissipativity, equilibria of stability, Lyapunov exponents, chaotic behaviors, chaotic attractors, along with necessary conditions for this system to generate a chaos. It is found that there are 2 or 4-scroll chaotic attractors for certain values of system parameters. Chaos synchronization of these attractors is studied via the active control, and explicit expressions for control functions to achieve chaos synchronization are derived. By using Lyapunov function, we prove that the error system is asymptotically stable, and the control function can completely synchronize both the active system and the response system.