Adaptive synchronization of two chaotic systems consisting of modified Van der Pol-Duffing and Chua oscillators

被引:39
作者
Fotsin, H
Bowong, S
Daafouz, J
机构
[1] Univ Dschang, Fac Sci, Dept Phys, Elect Lab, Dschang, Cameroon
[2] Univ Douala, Fac Sci, Dept Math & Informat, Lab Math Appl, Douala, Cameroon
[3] CRAN INPL ENSEM 2, F-54516 Vandoeuvre Les Nancy, France
关键词
D O I
10.1016/j.chaos.2004.12.029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, chaos synchronization between two chaotic systems consisting of modified Van der Pol-Duffing (MVDPD) and Chua oscillators is studied. Such a problem is related to chaos synchronization of different systems. An adaptive feedback synchronization with two controllers is proposed to ensure global chaos synchronization of the modified Van der Pol-Duffing and Chua circuit oscillators. Numerical simulations show the effectiveness of the proposed control method. Moreover, as an application, the proposed scheme is then applied to secure communication whose process consists of a robust filter that recovers the information signal from the scalar transmitted signal. Also, simulation results verify the proposed scheme's success in the communication application. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:215 / 229
页数:15
相关论文
共 35 条
[1]   Generalized synchronization of chaos: The auxiliary system approach [J].
Abarbanel, HDI ;
Rulkov, NF ;
Sushchik, MM .
PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535
[2]   The synchronization of chaotic systems [J].
Boccaletti, S ;
Kurths, J ;
Osipov, G ;
Valladares, DL ;
Zhou, CS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101
[3]   Stability analysis for the synchronization of chaotic systems with different order: application to secure communications [J].
Bowong, S .
PHYSICS LETTERS A, 2004, 326 (1-2) :102-113
[4]   Stability and duration time of chaos synchronization of a class of nonidentical oscillators [J].
Bowong, S ;
Kakmeni, FMM .
PHYSICA SCRIPTA, 2003, 68 (04) :326-332
[5]   A new approach to communications using chaotic signals [J].
Corron, NJ ;
Hahs, DW .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (05) :373-382
[6]   CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV .
PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68
[7]   A purely adaptive controller to synchronize and control chaotic systems [J].
diBernardo, M .
PHYSICS LETTERS A, 1996, 214 (3-4) :139-144
[8]   An adaptive chaos synchronization scheme applied to secure communication [J].
Feki, M .
CHAOS SOLITONS & FRACTALS, 2003, 18 (01) :141-148
[9]  
FELDMANN U, 1995, P IEEE ISCAS, P680
[10]   Synchronization of chaotic systems with different order -: art. no. 036226 [J].
Femat, R ;
Solís-Perales, G .
PHYSICAL REVIEW E, 2002, 65 (03) :1-036226