Auditório Prof. Luiz Antonio Fávaro
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.