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Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 12
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Original Articles

Complete synchronization of symmetrically soupled sutonomous systems

Klaus R. Schneider Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany
&
Serhiy Yanchuk† Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany; Department of Mathematics, Humboldt-University of Berlin, Unter den Linden 6, D-10099 Berlin, GermanyView further author information
Pages 1127-1143 | Received 10 Mar 2003, Published online: 12 May 2010
 
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Abstract

In this article we derive conditions for complete synchronization of two symmetrically coupled identical systems of ordinary differential equations and differential-delay equations. Using Lyapunov function approach we give an estimate of the region of attraction of the synchronized solution. We also established that complete synchronization is robust with respect to small perturbations of the identical systems.

Notes

†E-mail: [email protected]

Additional information

Notes on contributors

Serhiy YanchukFootnote†

†E-mail: [email protected]

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