RT Journal Article T1 Wave trains, self-oscillations and synchronization in discrete media A1 Carpio Rodríguez, Ana María AB 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. PB Elsevier SN 0167-2789 YR 2005 FD 2005-02-01 LK https://hdl.handle.net/20.500.14352/49865 UL https://hdl.handle.net/20.500.14352/49865 LA eng NO 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. NO Madrid Ciencia y Tecnología NO Unión Europea DS Docta Complutense RD 8 abr 2025