Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification

被引:60
作者
Fotsin, HB
Woafo, P
机构
[1] Univ Dschang, Fac Sci, Dschang, Cameroon
[2] Univ Yaounde, Fac Sci, Yaounde, Cameroon
关键词
D O I
10.1016/j.chaos.2004.09.101
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper considers the problem of adaptive synchronization and parameter identification of an uncertain chaotic oscillator. Using recent results on adaptive control, we design a controller which enables both the synchronization of two unidirectionally coupled modified Van der Pol-Duffing oscillators and the estimation of unknown parameters of the drive oscillator. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1363 / 1371
页数:9
相关论文
共 20 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]   A new synchronization principle for a class of Lur'e systems with applications in secure communication [J].
Bowong, S ;
Kakmeni, FMM ;
Koina, R .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07) :2477-2491
[3]   SYNCHRONIZING NONAUTONOMOUS CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 1993, 40 (10) :646-650
[4]   Parameter-insensitive and narrow-band synchronization of chaotic circuits [J].
Carroll, TL ;
Johnson, GA ;
Pecora, LM ;
Mar, DJ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (11) :2189-2196
[5]  
Chen G., 1998, CHAOS ORDER METHODOL
[6]   Adaptive synchronization of uncertain Rossler hyperchaotic system based on parameter identification [J].
Chen, SH ;
Hu, J ;
Wang, CP ;
Lü, JH .
PHYSICS LETTERS A, 2004, 321 (01) :50-55
[7]   Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal [J].
Grassi, G ;
Mascolo, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :1011-1014
[8]  
Hayashi C., 1964, NONLINEAR OSCILLATIO
[9]   ANALYSIS AND SYNTHESIS OF SYNCHRONOUS PERIODIC AND CHAOTIC SYSTEMS [J].
HE, R ;
VAIDYA, PG .
PHYSICAL REVIEW A, 1992, 46 (12) :7387-7392
[10]   A simple global synchronization criterion for coupled chaotic systems [J].
Jiang, GP ;
Tang, WKS ;
Chen, GR .
CHAOS SOLITONS & FRACTALS, 2003, 15 (05) :925-935