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Complete synchronization of symmetrically soupled sutonomous systems |
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| Authors: | Klaus R Schneider Serhiy Yanchuk? |
| Institution: | 1. Weierstrass Institute for Applied Analysis and Stochastics , Mohrenstrasse 39, D-10117 Berlin , Germany;2. Weierstrass Institute for Applied Analysis and Stochastics , Mohrenstrasse 39, D-10117 Berlin , Germany;3. Department of Mathematics , Humboldt-University of Berlin , Unter den Linden 6, D-10099 Berlin , Germany |
| 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. |
| Keywords: | Complete synchronization Delay differential equations Coupled systems Goodwin oscillator 2000 Mathematics Subject Classifications: 34C15 34C11 34K20 34K35 |