Self-organized pacemakers and bistability of pulses in an excitable medium

Stich, Michael, Mikhailov, Alexander S. and Kuramoto, Yoshiki (2009). Self-organized pacemakers and bistability of pulses in an excitable medium. Physical Review E, 79 (2),

Abstract

Pattern formation in an excitable medium described by a three-component reaction-diffusion system is investigated. Our focus is on stable self-organized pacemakers which give rise to spatially extended target patterns. Bistability of pulse solutions in the excitable regime is also reported, and interactions of the different pulses with each other and the pacemaker are studied. Self-organized pacemakers are created by a suitable perturbation from the steady state or through interaction of pulses. Bound states of one-dimensional pacemakers and phase flips are also observed.

Publication DOI: https://doi.org/10.1103/PhysRevE.79.026110
Divisions: Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences
Uncontrolled Keywords: Condensed Matter Physics,Statistical and Nonlinear Physics,Statistics and Probability
Full Text Link: https://pure.mp ... _736288/content
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... sRevE.79.026110 (Publisher URL)
Published Date: 2009-02-02
Authors: Stich, Michael ( 0000-0001-8862-1044)
Mikhailov, Alexander S.
Kuramoto, Yoshiki

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