TY - JOUR
T1 - Anti-synchronization on autonomous and non-autonomous chaotic systems via adaptive feedback control
AU - Li, Ruihong
AU - Xu, Wei
AU - Li, Shuang
PY - 2009/5/15
Y1 - 2009/5/15
N2 - In this paper, the anti-synchronization of a general class of chaotic systems is investigated. A simple adaptive feedback scheme is proposed to anti-synchronize many familiar chaotic systems, including autonomous systems and non-autonomous systems. Lyapunov analysis for the error system gives the asymptotic stability conditions based on the invariance principle of differential equations. The schemes are successfully applied to three groups of examples: the van der Pol-Duffing oscillator, the parametrically harmonically excited 4D system, and the additionally harmonically excited Murali-Lakshmanan-Chua circuit. Numerical results are presented to justify the theoretical analysis in this paper.
AB - In this paper, the anti-synchronization of a general class of chaotic systems is investigated. A simple adaptive feedback scheme is proposed to anti-synchronize many familiar chaotic systems, including autonomous systems and non-autonomous systems. Lyapunov analysis for the error system gives the asymptotic stability conditions based on the invariance principle of differential equations. The schemes are successfully applied to three groups of examples: the van der Pol-Duffing oscillator, the parametrically harmonically excited 4D system, and the additionally harmonically excited Murali-Lakshmanan-Chua circuit. Numerical results are presented to justify the theoretical analysis in this paper.
UR - http://www.scopus.com/inward/record.url?scp=65349089444&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2007.09.032
DO - 10.1016/j.chaos.2007.09.032
M3 - 文章
AN - SCOPUS:65349089444
SN - 0960-0779
VL - 40
SP - 1288
EP - 1296
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -