Open AccessProjective synchronization for unified hyperchaotic system
Author(s) -
Abdurahman Kadir,
Xingyuan Wang,
Yue Zhao
Publication year - 2011
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.60.040506
Subject(s) - controller (irrigation) , synchronization (alternating current) , lyapunov stability , control theory (sociology) , computer science , state (computer science) , projective test , stability theory , full state feedback , stability (learning theory) , control (management) , mathematics , pure mathematics , algorithm , physics , artificial intelligence , nonlinear system , quantum mechanics , machine learning , agronomy , biology , computer network , channel (broadcasting)
The projective synchronization in the unified hyperchaotic system using two control method is studied in this paper. Based on the Lyapunov stability theory, the full state hybrid projective synchronization is achieved via an adaptive controller. It is proved theoretically that the controller can make the states of the dynamical system and the response system with known parameters achieve the asymptotically full state hybrid projective synchronization. An active controller is designed to achieve the projective synchronization. Finally, Numerical simulations show the effectiveness of the two schemes.