Phys. Rev. E 50, R3291–R3294 (1994)Self-organized pulse generator in a reaction-diffusion system
We carry out computer simulations of a Bonhoeffer–van der Pol-type reaction-diffusion equation to study the properties of propagating pulses and their collision. By choosing a suitable nonlinearity where a stable limit cycle solution coexists with an equilibrium uniform solution, it is shown that two pulses propagating to the opposite directions do not annihilate upon collision but generate a localized domain which persistently emits pulses traveling outward. The stability of the localized domain and the propagating pulses are explored numerically. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.50.R3291
DOI:
10.1103/PhysRevE.50.R3291
PACS:
02.50.-r, 82.20.Mj, 82.30.-b
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