TY - JOUR
T1 - Adaptive generalized projective synchronization in different chaotic systems based on parameter identification
AU - Li, Rui hong
AU - Xu, Wei
AU - Li, Shuang
PY - 2007/7/23
Y1 - 2007/7/23
N2 - In this Letter, the generalized projective synchronization of different chaotic systems with unknown parameters is investigated. By Lyapunov stability theory, the adaptive control method is proposed to achieve above synchronization phenomenon. Meanwhile, according to the invariance principle of differential equations, unknown parameter can be estimated accurately. The schemes are successfully applied to two groups of examples: the anti-phase synchronization between Lorenz system and Chen system; the complete synchronization between hyper-chaotic system and generalized Loren system. The corresponding numerical results are presented to verify the effectiveness of this method.
AB - In this Letter, the generalized projective synchronization of different chaotic systems with unknown parameters is investigated. By Lyapunov stability theory, the adaptive control method is proposed to achieve above synchronization phenomenon. Meanwhile, according to the invariance principle of differential equations, unknown parameter can be estimated accurately. The schemes are successfully applied to two groups of examples: the anti-phase synchronization between Lorenz system and Chen system; the complete synchronization between hyper-chaotic system and generalized Loren system. The corresponding numerical results are presented to verify the effectiveness of this method.
KW - Different chaotic systems
KW - Generalized projective synchronization
KW - Parameter identification
UR - http://www.scopus.com/inward/record.url?scp=34447256598&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2007.03.025
DO - 10.1016/j.physleta.2007.03.025
M3 - 文章
AN - SCOPUS:34447256598
SN - 0375-9601
VL - 367
SP - 199
EP - 206
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3
ER -