Open AccessThe existence of two types of generalized synchronization of nonlinear systems
Author(s) -
Guo Liu-Xiao,
Zhi-Hong Xu
Publication year - 2008
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.57.6086
Subject(s) - synchronization (alternating current) , nonlinear system , correctness , mathematical proof , manifold (fluid mechanics) , synchronization of chaos , equilibrium point , property (philosophy) , fixed point , chaotic , mathematics , fixed point theorem , computer science , mathematical analysis , control theory (sociology) , topology (electrical circuits) , physics , algorithm , control (management) , mechanical engineering , philosophy , geometry , epistemology , quantum mechanics , combinatorics , artificial intelligence , engineering
The existence of two types of generalized synchronization of chaotic nonlinear systems is studied. When the modified system collapses to a stable equilibrium or periodic oscillation, the existence of generalized synchronization can be converted to the problem of compression fixed point under certain conditions. Strict theoretical proofs are given to the exponential attractive property of generalized synchronization manifold. Numerical simulations illustrate the correctness of the present theory.