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Carpio Rodríguez, Ana María 2023-06-20T09:32:46Z 2023-06-20T09:32:46Z 2005-02-01 Carpio Rodríguez, A. M. «Wave Trains, Self-Oscillations and Synchronization in Discrete Media». Physica D: Nonlinear Phenomena, vol. 207, n.o 1-2, julio de 2005, pp. 117-36. DOI.org (Crossref), https://doi.org/10.1016/j.physd.2005.06.004. 0167-2789 10.1016/j.physd.2005.06.004 https://hdl.handle.net/20.500.14352/49865 https://doi.org/10.1016/j.physd.2005.06.004 http://www.sciencedirect.com/science/article/pii/S0167278905002307 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. eng restricted access Wave trains, self-oscillations and synchronization in discrete media journal article