Research on Logistic Mapping and Synchronization

Author

Song, Wei ; Meng, Jun

Author_Institution

Inst. of Electr. Eng., Zhejiang Univ., Hangzhou

Volume

1

fYear

0

fDate

0-0 0

Firstpage

987

Lastpage

991

Abstract

Based on analysis of logistic mapping´s time serials and bifurcation, the result that logistic mapping under chaos and period have some same characters is found out, though the two states are different in details but they have the same trend as time evolved. So the concept of chaos synchronization can be enlarged, from the synchronization of two chaos systems to the synchronization of chaos system and period system. The synchronization of the above two system can be realized by system error absolute value feedback control. The method above can also realize the synchronization of two systems that have different parameters by using adaptive control to adjust parameter first. The numerical simulation shows that error absolute value feedback control is a fast and valid method for logistic mapping synchronization

Keywords

adaptive control; bifurcation; chaos; control system analysis; feedback; nonlinear control systems; adaptive control; bifurcation; chaos synchronization; chaos system; logistic mapping synchronization; numerical simulation; period system; system error absolute value feedback control; time serials; Adaptive control; Automation; Bifurcation; Chaos; Educational institutions; Error correction; Feedback control; Intelligent control; Logistics; Numerical simulation; Logistic mapping; bifurcation; chaos; chaos synchronization; feedback control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712492

Filename

1712492