脉冲作用下Chen系统的非光滑分岔分析

摘要

The complex dynamics of Chen system via impulsive force is investigated in this paper. The non-smooth bifurcation of Chen system via impulsive force is analyzed. The system can evolve to chaos by the cascading of period-doubling bifurcations. Besides, the system can evolve to chaos immediately by saddle-node bifurcations from period solutions. Finally, the Floquet theory is used to explore the non-smooth bifurcation mechanism for the periodic solutions.%研究了脉冲作用下Chen系统的复杂动力学行为．对脉冲作用下的Chen系统进行了非光滑分岔分析．该系统可经级联倍周期分岔到达混沌，也可由周期解经鞍结分岔直接到达混沌．最后通过Floquet理论揭示了该系统周期解的非光滑分岔机理．