| GENERAL |
|
|
|
|
Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters |
| M. Mossa Al-sawalha1, M. S. M. Noorani2
|
1Faculty of Science, Mathematics Department, University of Hail, Kingdom of Saudi Arabia
2Center for Modelling & Data Analysis,School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
|
|
| Cite this article: |
|
M. Mossa Al-sawalha, M. S. M. Noorani 2011 Chin. Phys. Lett. 28 110507 |
|
|
|
|
Abstract We elaborate the concept of increasing-order synchronization and anti-synchronization of chaotic systems via an adaptive control scheme and modulation parameters. It is shown that the dynamical evolution of a third-order chaotic system can be synchronized and anti-synchronized with a fourth-order chaotic system even though their parameters are unknown. Theoretical analysis and numerical simulations are carried out to verify the results.
|
| Keywords:
05.45.-a
47.52.+j
89.75.-k
|
|
|
Received: 18 February 2011
Published: 30 October 2011
|
|
|
|
|
|
|
|
[1] Rafikov M and Balthazar J 2008 Commun. Nonlin. Sci. Numer. Simulat. 13 1246
[2] Al-Sawalha M M and Noorani M S M 2009 Chaos, Solitons Fractals 42 179
[3] Al-Sawalha M M and Noorani M S M 2010 Commun. Nonlin. Sci. Numer. Simulat. 15 1047
[4] Al-Sawalha M M and Noorani M S M 2008 Open Systems Information Dynamics 4 371
[5] Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 824
[6] Chen A, Lü J and Yu S 2006 Physica A 364 103
[7] Lü J, Chen G and Zhang S 2002 Int. J. Bifurcat. Chaos 12 1001 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
