Author:
Jiang Hai-Bo ,Zhang Li-Ping ,Chen Zhang-Yao ,Bi Qin-Sheng , ,
Abstract
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.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference20 articles.
1. Chen G, Ueta T 1999 Int. J. Bifur. Chaos 9 1465
2. Chen G R, Lü J H 2003 Dynamical Analyses, Control and Synchronization of the Lorenz System Family (Beijing: Science Press) Chap 2 (in Chinese) [陈关荣, 吕金虎 2003 Lorenz系统族的动力学分析、控制与同步 (北京: 科学出版社) 第2章]
3. Lorenz E N 1963 J. Atmos. Sci. 20 130
4. Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 605 (in Chinese) [王兴元, 武相军 2006 物理学报 55 605]
5. Zhang X F, Chen Z Y, Bi Q S 2010 Acta Phys. Sin. 59 3802 (in Chinese) [张晓芳, 陈章耀, 毕勤胜 2010 物理学报 59 3802]
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