Open AccessAdaptive modified function projective synchronization of different hyperchaotic systems
Author(s) -
Jianan Wang,
Heping Li
Publication year - 2010
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.59.2264
Subject(s) - synchronization (alternating current) , computer science , control theory (sociology) , lyapunov stability , chen , function (biology) , lyapunov function , stability (learning theory) , control (management) , physics , artificial intelligence , nonlinear system , paleontology , quantum mechanics , evolutionary biology , machine learning , biology , computer network , channel (broadcasting)
This article treats the modified function projective synchronization between the hyperchaotic Lorenz-Stenflo(LS) system and a novel hyperchaotic CYQY system, and also that between the LS system and hyperchaotic Chen system, which have completely unknown parameters. By utilizing Lyapunov stability theory and active control method, the adaptive controllers and parameter update laws are derived to make the states of different hyperchaotic systems to attain adaptive modified function projective synchronization. The systems unknown parameters can be identified simultaneously. Numerical simulations are presented to demonstrate the effectiveness of the proposed methods.