Tiago Pereira, Jaap Eldering, Martin Rasmussen, Alexei Veneziani
We study coupling functions that allow for persistent synchronization in connected complex networks and any isolated system dynamics that possesses global solutions and bounded Jacobian evaluated along such solutions. We prove that the set of coupling functions leading to stable synchronization is open and that any coupling function whose linear part has eigenvalues with positive real part leads to system towards synchronization.
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http://arxiv.org/abs/1304.7679
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