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Wave trains, self-oscillations and synchronization in discrete media

Carpio Rodríguez, Ana María (2005) Wave trains, self-oscillations and synchronization in discrete media. Physica D-Nonlinear Phenomena, 207 . pp. 117-136. ISSN 0167-2789

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Nonlinear waves; Oscillators; Discrete media; Excitable media; Wave trains; Propagation failure; Relaxation oscillations; Synchronization; Pattern formation
Subjects:Sciences > Physics > Mathematical physics
ID Code:14961
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