Signal propagation and failure in one-dimensional FitzHugh-Nagumo equations with periodic stimuli

概要

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We analyze the effect of additive periodic stimuli in one-dimensional FitzHugh-Nagumo equations in anexcitable regime. With a suitable stimulus interval, the suppression of the pulse propagation occurs in someparameter regime. This propagation failure comes from the formation of the “death spot” where successivepulses annihilate. In the parameter regime where the solitary pulse cannot propagate in space stably, however,periodic stimuli cause a propagation of envelope of a traveling pulse under a “resonance” condition, i.e., thepulse at the leading edge disappears successively, however, an envelope is formed and propagates with keepingits shape.
American Physical Societyの論文