Palestras e Seminários
26/04/2017
19:15
Auditório Prof. Luiz Antonio Fávaro
Seminários SME

 

Abstract:

In network dynamics, chimeras are states where part of the nodes are synchronized and another part stay incoherent. Such chimeras have been
observed in real world phenomena and numerical simulations, but a precise definition or theoretical description is still lacking.

I will present an analytical construction of what can be called a chimera state in two star networks of Kuramoto-oscillators coupled
together. We prove that this chimera state is meta-stable and even stable for specific types of coupling.

Our construction relies on bi-stability of synchronized and incoherent states in a parameter regime of the star network. We use normal hyperbolicity to show how a product of these states persists when two star networks are coupled.

This is work in progress with Tiago Pereira, Rafael Soares and Jeroen Lamb.

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