Abstract
As far as pattern formation, front propagation and phase dynamics are concerned, a lot has been achieved in various, yet related, specific fields. Let us mention just some of these: in hydrodynamics, the equations of the Rayleigh-Benard convection by Newell & Whitehead [1] and the instability of convective flows [2], the phase instability of oscillating systems by Kuramoto [3], the propagation of fronts in combustion by Sivashinski [4], the Eckhaus instability of steady structures [5], the topological turbulence in the Ginzburg-Landau equation [6]. Finally, to return to topics more directly related to this work, and with no pretention to exhaustivity, we should cite the works of Winfree [7], Tyson [8], Fife [9], Keener [10], Mikhailov & Krinskii [11] Meron & Pelce [12]. These mostly deal with theory. Of course, much has been done in experiments, which we should only cite indirectly, through review articles or collective works [13, 14, 15].
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Hanusse, P., Pérez-Muñuzuri, V., Vidal, C. (1991). Phase Dynamics and Spatial Patterns in Oscillating and Excitable Media. In: Holden, A.V., Markus, M., Othmer, H.G. (eds) Nonlinear Wave Processes in Excitable Media. NATO ASI Series, vol 244. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3683-7_44
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