Non-smooth bifurcation analysis of Chen system via impulsive force
Non-smooth bifurcation analysis of Chen system via impulsive force
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基于冲力的Chen系统非光滑分岔分析
DOI：
10.7498/aps.61.080505
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发表时间：
2012-04
影响因子：
1
通讯作者：
Bi Qin-Sheng
中科院分区：
文献类型：
--
作者：
Jiang Hai-Bo;Zhang Li-Ping;Chen Zhang-Yao;Bi Qin-Sheng
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.该系统可以通过倍周期分岔的级联演化到混沌。此外，系统可以通过鞍结分岔从周期解立即演化到混沌。 最后通过Floquet理论揭示了该系统周期解的非光滑分岔机理.
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.