Open AccessSynchronization between fractional-order chaotic system and chaotic system of integer orders
Author(s) -
Peng Zhou,
Kuang Fei
Publication year - 2010
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.59.6851
Subject(s) - synchronization of chaos , synchronization (alternating current) , chaotic , integer (computer science) , control theory (sociology) , controller (irrigation) , computer science , order (exchange) , compensation (psychology) , mathematics , topology (electrical circuits) , control (management) , combinatorics , finance , artificial intelligence , economics , programming language , psychology , psychoanalysis , agronomy , biology
Based on the idea of tracking control and the stability theory of linear fractional-order system, chaotic synchronization between fractional-order chaotic system and chaotic system of integer orders is proposed. A compensation controller and a feedback controller are given. Synchronization between the fractional-order Chen chaotic system and the Loren chaotic system of integer orders is used to illustrate the effectiveness of the proposed synchronization approach. Numerical and circuit simulations coincide with the theoretical analysis.