Open AccessStudy on the generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system
Author(s) -
Chunbiao Li,
Liang Shan,
Dechun Wang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.6016
Subject(s) - synchronization (alternating current) , chaotic , scaling , lyapunov exponent , control theory (sociology) , synchronization of chaos , nonlinear system , state variable , computer science , topology (electrical circuits) , mathematics , physics , control (management) , quantum mechanics , geometry , combinatorics , artificial intelligence , thermodynamics
The generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system is studied. The appropriate nonlinear feedback controllers are designed by an active control method for synchronization of two chaotic systems with the same or different structures. The effectiveness of scaling factor and global linear amplitude adjuster in the generalized projective synchronization system is analyzed. The driving, control and response subsystems of the synchronization system are analyzed in detail and constructed based on modularization and reusing. Numerical simulation and circuit experiment simulation all show that any scale signal of driving system state variable can be obtained by adjusting the scaling factor. When the global linear amplitude adjuster is changed, the state variables of driving system and response system are modulated synchronously in linearity while the generalized projective synchronization between the two systems is not influenced.