Bifurcation analysis of the logistic map via two periodic impulsive forces

The complex dynamics of the logistic map via two periodic impulsive forces is investigated in this paper. The influ- ences of the system parameter and the impulsive forces on the dynamics of the system are studied respectively. With the parameter varying, the system produces the phenomenon such as p...

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Bibliographic Details
Published in:Chinese physics B 2014, Vol.23 (1), p.112-118
Main Author: 姜海波 李涛 曾小亮 张丽萍
Format: Article
Language:English
Subjects:
bifurcation
impulse
logistic
mechanism
periodic
solutions
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Summary:The complex dynamics of the logistic map via two periodic impulsive forces is investigated in this paper. The influ- ences of the system parameter and the impulsive forces on the dynamics of the system are studied respectively. With the parameter varying, the system produces the phenomenon such as periodic solutions, chaotic solutions, and chaotic crisis. Furthermore, the system can evolve to chaos by a cascading of period-doubling bifurcations. The Poincar6 map of the logistic map via two periodic impulsive forces is constructed and its bifurcation is analyzed. Finally, the Floquet theory is extended to explore the bifurcation mechanism for the periodic solutions of this non-smooth map.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/23/1/010501