Oscillatory traveling waves in excitable media

A new type of waves in an excitable medium, characterized by oscillatory profile, is described. The excitable medium is modeled by a two-component activator-inhibitor system. Reaction-diffusion systems with diagonal and cross diffusion are examined. As an example, a front (kink) represented by a het...

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Veröffentlicht in:	Journal of experimental and theoretical physics 2008-08, Vol.107 (2), Article 344
Hauptverfasser:	Zemskov, E. P., Loskutov, A. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	ANALYTICAL SOLUTION Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFUSION Elementary Particles Exact solutions Nonlinear Particle and Nuclear Physics PHASE SPACE Physics Physics and Astronomy Quantum Field Theory Relativity Theory SHAPE Soft Matter Physics Solid State Physics Statistical Traveling waves TRAVELLING WAVES VELOCITY
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Beschreibung
Zusammenfassung:	A new type of waves in an excitable medium, characterized by oscillatory profile, is described. The excitable medium is modeled by a two-component activator-inhibitor system. Reaction-diffusion systems with diagonal and cross diffusion are examined. As an example, a front (kink) represented by a heteroclinic orbit in the phase space is considered. The wave shape and velocity are analyzed with the use of exact analytical solutions for wave profiles.
ISSN:	1063-7761 1090-6509
DOI:	10.1134/S1063776108080189