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DY: Fachverband Dynamik und Statistische Physik

DY 32: Synchronization

DY 32.3: Talk

Friday, March 30, 2007, 10:45–11:00, H3

Spatially localized desynchronization in weakly disordered lattices of phase oscillators — •Michael Zaks — Institut für Physik, Humboldt-Universität zu Berlin

If the coupling in a lattice of diffusively coupled non-identical phase oscillators is strong enough, a synchronized state appears in which all elements rotate with the same rate. I restrict myself to the case where the distribution of frequencies along the lattice is weakly disordered (the binary Thue-Morse lattice serves as an example). It turns out that the stable synchronized state is not necessarily a global attractor and may coexist with other nontrivial regimes. In such states, nearly the whole ensemble is synchronized whereas a few elements do not obey the common dynamics and rotate with different frequencies. Phase differences between such oscillators and the rest of the ensemble grow linearly in time. In spite of unbounded temporal growth, these phase defects do not propagate in space: they stay localized.