Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:B2L-A

Session:

Number:B2L-A2

Bifurcation Analysis of a Chaotic Map with a Dynamic Controller Based on Stability Transformation Method

Takumi Hasegawa,  Tadashi Tsubone,  

pp.382-385

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.B2L-A2

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Summary:
In this study, we consider a chaos control system based on a stability transformation method of unstable periodic orbits of a chaotic map. In our previous works, we have proposed a controlling method which transforms stability of unstable periodic orbits embedded on chaos attractor without the information of the location and shown a procedure to obtain the transformed system with stable periodic orbits which have same information of location to unstable periodic orbits on the original chaotic system. In this paper, we apply the method to unstable periodic orbits of logistic map and show procedure to design a continuous time system corresponding to the chaotic map with a controller based on the stability transformation. Also, the analysis of bifurcation of the system are provided.