Open AccessSynchronizing chaotic systems based on an arbitrary function matrix
Author(s) -
Lixiong Lin,
Peng Xia-Fu,
彭侠夫
Publication year - 2014
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.63.080504
Subject(s) - synchronizing , chaotic , computer science , synchronization (alternating current) , lorenz system , chaotic systems , control theory (sociology) , matrix (chemical analysis) , function (biology) , scheme (mathematics) , synchronization of chaos , state (computer science) , algorithm , mathematics , control (management) , mathematical analysis , artificial intelligence , telecommunications , computer network , channel (broadcasting) , transmission (telecommunications) , materials science , evolutionary biology , composite material , biology
In this paper, we introduce a type of chaotic synchronization, where two chaotic systems are synchronized based on a function matrix. In particular, each drive system state synchronizes with a certain combination of response system states. Based on linear system theory and the pole placement technique, the scheme is given and illustrated with hyperchaotic Lorenz system and Lorenz chaotic system. Numerical simulations are carried out to verify the effectiveness of the proposed scheme.