Title :
Various methods for modified projective synchronization of Liu system and the new Lorenz system
Author :
Yang, Dongyi ; Zhou, Wuneng ; Ma, Siming ; Li, Xuan
Author_Institution :
Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China
Abstract :
In this paper, we mainly concern the synchronization of Liu hyperchaotic system and the new Lorenz hyperchaotic system. Within the two systems, we achieve the modified projective synchronization (MPS) and adaptive modified projective synchronization (AMPS). In addition, based on the Lyapunov stability theory, the adaptive modified projective dislocated synchronization (AMPDS) is proposed, which realizes the projective dislocated synchronization between two systems with uncertain parameters. Numerical examples are given to show the feasibility and effectiveness of these methods.
Keywords :
Lyapunov methods; chaos; nonlinear control systems; stability; synchronisation; Liu hyperchaotic system synchronization; Lorenz hyperchaotic system; Lyapunov stability theory; adaptive modified projective dislocated synchronization; uncertain parameters; Adaptive systems; Aerospace electronics; Chaos; Estimation; Lyapunov methods; Synchronization; Vectors; Active Control; Dislocated; Hyperchaotic; Projective Synchronization; Uncertain Parameter;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244410
