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Phase-sensitive excitability of a limit cycle.
- Source :
-
Chaos (Woodbury, N.Y.) [Chaos] 2018 Jul; Vol. 28 (7), pp. 071105. - Publication Year :
- 2018
-
Abstract
- The classical notion of excitability refers to an equilibrium state that shows under the influence of perturbations a nonlinear threshold-like behavior. Here, we extend this concept by demonstrating how periodic orbits can exhibit a specific form of excitable behavior where the nonlinear threshold-like response appears only after perturbations applied within a certain part of the periodic orbit, i.e., the excitability happens to be phase-sensitive. As a paradigmatic example of this concept, we employ the classical FitzHugh-Nagumo system. The relaxation oscillations, appearing in the oscillatory regime of this system, turn out to exhibit a phase-sensitive nonlinear threshold-like response to perturbations, which can be explained by the nonlinear behavior in the vicinity of the canard trajectory. Triggering the phase-sensitive excitability of the relaxation oscillations by noise, we find a characteristic non-monotone dependence of the mean spiking rate of the relaxation oscillation on the noise level. We explain this non-monotone dependence as a result of an interplay of two competing effects of the increasing noise: the growing efficiency of the excitation and the degradation of the nonlinear response.
Details
- Language :
- English
- ISSN :
- 1089-7682
- Volume :
- 28
- Issue :
- 7
- Database :
- MEDLINE
- Journal :
- Chaos (Woodbury, N.Y.)
- Publication Type :
- Academic Journal
- Accession number :
- 30070536
- Full Text :
- https://doi.org/10.1063/1.5045179