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Phys Rev Lett. 2005 Aug 19;95(8):084101. Epub 2005 Aug 19.

Quasiregular concentric waves in heterogeneous lattices of coupled oscillators.

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Institut für Physik, Universität Potsdam, Postfach 601553,D-14415 Potsdam, Germany.


We study the pattern formation in a lattice of locally coupled phase oscillators with quenched disorder. In the synchronized regime quasiregular concentric waves can arise which are induced 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.

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