Classification of wave regimes in excitable systems with linear cross-diffusion
arXiv:1408.3611 · doi:10.1103/PhysRevE.90.062912
Abstract
We consider principal properties of various wave regimes in two selected excitable systems with linear cross-diffusion in one spatial dimension observed at different parameter values. This includes fixed-shape propagating waves, envelope waves, multi-envelope waves, and intermediate regimes appearing as waves propagating fixed-shape most of the time but undergoing restructuring from time to time. Depending on parameters, most of these regimes can be with and without the "quasi-soliton" property of reflection of boundaries and penetration through each other. We also present some examples of behaviour of envelope quasi-solitons in two spatial dimensions.
arXiv comment15 pages, 17 figures, as resubmitted to PRE on 2014/11/07
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