Quasi regular concentric waves in heterogeneous lattices of coupled oscillators

Abstract

We study the pattern formation in a lattice of coupled phase oscillators with quenched disorder. In the synchronized regime concentric waves can arise, which are induced and increase in regularity by the disorder of the system. Maximal regularity is found at the edge of the synchronization regime. The emergence of the concentric waves is related to the symmetry breaking of the interaction function. An explanation of the numerically observed phenomena is given in a one-dimensional chain of coupled phase oscillators. Scaling properties, describing the target patterns are obtained.

4 pages, 3 figures, submitted to PRL

References in corpus (2)

• Statistics and Scaling in Disordered Mesoscopic Electron Systems
• Scaling of the localization length in linear electronic and vibrational systems with long-range correlated disorder

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