Robust synchronization of a class of chaotic networks |
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| Authors: | S Čelikovský V Lynnyk G Chen |
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| Institution: | 1. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Prague 18208, Czech Republic;2. Czech Technical University in Prague, Faculty of Electrical Engineering, Prague, Czech Republic;3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China;4. Samara State Technical University (SamSTU) Department of Guidance, Navigation and Control 244 Molodogvardeyskaya Str. Samara 443100 Russia |
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| Abstract: | This paper studies synchronization of a dynamical complex network consisting of nodes being generalized Lorenz chaotic systems and connections created with transmitted synchronizing signals. The focus is on the robustness of the network synchronization with respect to its topology. The robustness is analyzed theoretically for the case of two nodes with two-sided (bidirectional) connections, and numerically for various cases with large numbers of nodes. It is shown that, unless a certain minimal coherent topology is present in the network, synchronization is always preserved. While for a minimal network where synchronization is global, the resulting synchrony reduces to semi-global if redundant connections are added. |
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