新三维非线性混沌系统的动力学分析

Dynamical analysis of a new nonlinear 3D chaotic system

基于动力系统的理论和方法,采用理论分析和Matlab仿真相结合的方式,在已有文献研究的基础上,研究了一个新三维混沌系统的复杂动力学行为,包括混沌系统的散度和吸引子的存在性、平衡点及其数目、全局吸引域、对称性和正向不变集等.该研究结果是已有文献的推广,Matlab模拟验证了计算理论的正确性.

Based on the theory and the method of dynamical systems, this paper further investigates complex dynamical behaviors of a new chaotic system including the chaotic attractor of the system,the divergence of the system,the equilibria of the system,the number of equilibrium point of the system, global attractive set, symmetry and invarian sets by theoretical analysis and Matlab simulation combined method. The results of this paper generalize the existing results available in the literature. Matlab simulation verifies the correctness of the theoretical calculation.