Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1170.70011
Mahmoud, Gamal M.; Bountis, Tassos; AbdEl-Latif, G.M.; Mahmoud, Emad E.
Chaos synchronization of two different chaotic complex Chen and Lü systems. (English)
[J] Nonlinear Dyn. 55, No. 1-2, 43-53 (2009). ISSN 0924-090X; ISSN 1573-269X/e

Summary: This paper investigates the chaos synchronization of two different chaotic complex systems of the Chen and Lü type [{\it S. Chen} and {\it J. Lü}, Chaos Solitons Fractals 14, No.~4, 643--647 (2002; Zbl 1005.93020)] via the methods of active control and global synchronization. In this regard, it generalizes earlier work on the synchronization of two identical oscillators in the cases where the drive and response systems are different, the parameter space is larger, and the dimensionality increases due to the complexification of dependent variables. The idea of chaos synchronization is to use the output of the drive system to control the response system, so that the output of the response system converges to the output of the drive system as time increases. Lyapunov functions are derived to prove that the differences in the dynamics of the two systems converge to zero exponentially fast, explicit expressions are given for the control functions, and numerical simulations are presented to illustrate our chaos synchronization techniques. We also point out that the global synchronization method is better suited for synchronizing identical chaotic oscillators, as it has serious limitations when applied to the case where the drive and response systems are different.

MSC 2000:: *70K55 Transition to stochasticity (chaotic behavior)
70Q05 Control of mechanical systems

Keywords: active control; error system; drive system; response system

Citations: Zbl 1005.93020

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]