Thursday 26 Mar 2015Dynamics of Coupled Phase Oscillators with Generalized Coupling

Christian Bick - University of Exeter

Harrison 102 16:00-17:00

Phase oscillators are interacting oscillatory units whose state is solely determined by a phase variable taking values on the circle. Probably the most widely studied system of interacting phase oscillators is the Kuramoto model; here, the interaction between two oscillators is given by the sine of the phase difference. What happens if the interaction between pairs of oscillators is more general, for example if the interaction contains more than a single Fourier component? We discuss the impact of generalized coupling on phase oscillator dynamics.
Moreover, we show how generalized couplings can be useful in applications; for example, it allows to control spatially localized states in non-locally coupled oscillator systems

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