Incollection,

Controlling chaos in complex networks of phase oscillators

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

A network of interacting coupled phase oscillators is considered. Interactions between the oscillators are characterized by phase shifts, effectively taking into account interaction delays. We show that in this simple model, chaos can develop as a consequence of interactions between the elements. The bifurcation scenario, corresponding to the transition from the synchronous state to chaotic dynamics, is analyzed and a special attention is paid to the emergence of dynamical clusters in the system. Moreover, control of chaos through the introduction of a global feedback is investigated.

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