Synchronization of coupled systems via parameter perturbations
Aston, Philip J. and Bird, C. M. (1998) Synchronization of coupled systems via parameter perturbations Physical Review E, 57. pp. 2787-2794.
We consider coupled identical chaotic systems. In some circumstances, the coupled systems synchronize. When this does not happen naturally, we derive methods based on small parameter perturbations which result in synchronous behavior. The perturbations are applied in the neighborhood of a fixed or periodic point in the synchronous subspace which is stable in the normal direction. By keeping iterates in the neighborhood of such points using parameter perturbations, they are naturally drawn closer to the subspace by the stable manifold of the fixed or periodic points. Different ways of varying the parameters are also considered. Methods for two-dimensional systems are first explored and then extended to higher-dimensional systems. Examples are presented to illustrate the methods.
|Additional Information:||Published in Physical Review E, Vol. 57 (3), pp. 2787-2794. © 1998 The American Physical Society.|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Depositing User:||Mr Adam Field|
|Date Deposited:||27 May 2010 14:40|
|Last Modified:||23 Sep 2013 18:32|
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