Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-06-06
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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