Wave trains, self-oscillations and synchronization in discrete media

Details Wave trains, self-oscillations and synchronization in discrete media Wave trains, self-oscillations and synchronization in discrete media

2005-06-06

arxiv.org/abs/cond-mat/0506119v1

Physics

Condensed Matter

Other Condensed Matter

to appear in Physica D: Nonlinear Phenomena

Scientific paper

10.1016/j.physd.2005.06.004

We study wave propagation in networks of coupled cells which can behave as excitable or self-oscillatory media. For excitable media, an asymptotic construction of wave trains is presented. This construction predicts their shape and speed, as well as the critical coupling and the critical separation of time scales for propagation failure. It describes stable wave train generation by repeated firing at a boundary. In self-oscillatory media, wave trains persist but synchronization phenomena arise. An equation describing the evolution of the oscillator phases is derived.

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