Open AccessSufficient conditions of chaotic synchronization and its applications
Author(s) -
Bin Chen,
Guanghu Liu,
Yong Zhang,
Zhou Zheng-ou
Publication year - 2005
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.54.5039
Subject(s) - synchronization (alternating current) , synchronization of chaos , chaotic , mathematical proof , computer science , chaotic systems , range (aeronautics) , control theory (sociology) , secure communication , electronic circuit , topology (electrical circuits) , mathematics , physics , telecommunications , control (management) , encryption , computer network , artificial intelligence , channel (broadcasting) , geometry , materials science , quantum mechanics , combinatorics , composite material
At present time, only necessary conditions of chaotic synchronization are known, and applications of chaotic synchronization is limited. In this paper, sufficient conditions of continuous chaotic system synchronization and the proofs are presented, and evolutive range of state variables is presented, too. We proved the conditions are realizable. As an application of the theory, we proved sufficient conditions of time-varying parameter chaotic synchronization, and made simulations by Chua circuits. Time varying parameter chaotic synchronization communication has high security performance, and the simulations that it defeat all kinds of attacks of eavesdroppers are presented.