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Synchronization in complex networks with distinct chaotic nodes

We present an approach to the chaos synchronization of complex networks with distinct nodes. The chaotic synchronization is achieved by adding a derivative coupling term in the network equation. We assume that node in networks are different and are given by the Lorenz, Rössler, Chen and Sprott chaot...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2009-06, Vol.14 (6), p.2528-2535
Main Authors: Solís-Perales, G., Ruiz-Velázquez, E., Valle-Rodríguez, D.
Format: Article
Language:English
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Summary:We present an approach to the chaos synchronization of complex networks with distinct nodes. The chaotic synchronization is achieved by adding a derivative coupling term in the network equation. We assume that node in networks are different and are given by the Lorenz, Rössler, Chen and Sprott chaotic systems. The derivative term is capable to induce the synchronous behavior in the network. Moreover such a coupling leads the global behavior to a chaotic attractor. We found that without derivative coupling the network is leaded only to an equilibrium point or a limit cycle. Numerical simulations are provided to illustrate the result. Complementary the network synchrony can be chaotic in presence of the derivative coupling.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2008.09.019