Classification of wave regimes in excitable systems with linear cross diffusion
Tsyganov, M. A.; Biktashev, V. N.
Date: 12 December 2014
Article
Journal
Physical Review E
Publisher
American Physical Society
Publisher DOI
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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, multienvelope waves, and intermediate regimes appearing as waves propagating at a fixed shape ...
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, multienvelope waves, and intermediate regimes appearing as waves propagating at a 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 "quasisoliton" property of reflection of boundaries and penetration through each other. We also present some examples of the behavior of envelope quasisolitons in two spatial dimensions.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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