Open AccessChaos synchroniztion by function coupling in a class of nonlinear dynamical system
Author(s) -
Weiyang Qin,
Tao Sun,
Jiao Xu-Dong,
Yongfeng Yang
Publication year - 2012
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.61.090502
Subject(s) - synchronization of chaos , synchronization (alternating current) , coupling (piping) , nonlinear system , chaos (operating system) , control of chaos , function (biology) , duffing equation , dynamical systems theory , describing function , control theory (sociology) , class (philosophy) , physics , statistical physics , computer science , topology (electrical circuits) , mathematics , quantum mechanics , control (management) , computer security , artificial intelligence , evolutionary biology , biology , mechanical engineering , combinatorics , engineering
To realize the synchronization of nonlinear dynamical system, the general control method is unidirectional linear coupling. Research on function coupling of chaos synchronization is not enough, so there arises a question: for nonlinear dynamical system, if chaos synchronization is realized by linear coupling, whether can any type of function coupling always make the system go to chaos synchronization? In this paper, a class of nonlinear dynamical system is considered and the relation between linear coupling and function coupling is investigated. It is proved that if linear coupling can make chaos synchronization, then any function satisfying some conditions can do so too. The condition is given and proved. Finally for Duffing system, three coupling functions are used to prove the analytical result. The simulation results show that the conclusion is correct.