Chaos Synchronization Control Algorithm for Generalized Lorenz System and Generalized Chen System

YIN Hongyun; LI Qing; WANG Zhiliang; LI Qin

doi:10.13374/j.issn1001-053x.2004.04.053

Volume 26 Issue 4

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YIN Hongyun, LI Qing, WANG Zhiliang, LI Qin. Chaos Synchronization Control Algorithm for Generalized Lorenz System and Generalized Chen System[J]. Chinese Journal of Engineering, 2004, 26(4): 446-448. doi: 10.13374/j.issn1001-053x.2004.04.053

Citation:

YIN Hongyun, LI Qing, WANG Zhiliang, LI Qin. Chaos Synchronization Control Algorithm for Generalized Lorenz System and Generalized Chen System[J]. Chinese Journal of Engineering, 2004, 26(4): 446-448. doi: 10.13374/j.issn1001-053x.2004.04.053

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Chaos Synchronization Control Algorithm for Generalized Lorenz System and Generalized Chen System

doi: 10.13374/j.issn1001-053x.2004.04.053

Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2003-09-03
Available Online: 2021-08-17

Abstract

Abstract

An adaptive synchronization algorithm is proposed and the stability of the algorithm is proved based on Lyapunov stability theory. The chaotic synchronization of Lorenz system and Chen system and that of generalized Lorenz system and generalized Chen system are realized by MATLAB. The simulation results show that not only the same chaotic system with different initial values or different parameters but also two different chaotic systems can be synchronized if the control method is used properly.
- adaptive control,
- chaos synchronization,
- unified system,
- generalized Lorenz system,
- generalized Chen system