Leap-frog patterns in systems of two coupled FitzHugh-Nagumo units

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dc.citation.issue4
dc.citation.rankM21
dc.citation.spage042207
dc.citation.volume99
dc.contributor.authorEydam, Sebastian
dc.contributor.authorFranović, Igor
dc.contributor.authorWolfrum, Matthias
dc.date.accessioned2024-06-26T07:25:25Z
dc.date.available2024-06-26T07:25:25Z
dc.date.issued2019-04-12
dc.description.abstractWe study a system of two identical FitzHugh-Nagumo units with a mutual linear coupling in the fast variables. While an attractive coupling always leads to synchronous behavior, a repulsive coupling can give rise to dynamical regimes with alternating spiking order, called leap-frogging. We analyze various types of periodic and chaotic leap-frogging regimes, using numerical path-following methods to investigate their emergence and stability, as well as to obtain the complex bifurcation scenario which organizes their appearance in parameter space. In particular, we show that the stability region of the simplest periodic leap-frog pattern has the shape of a locking cone pointing to the canard transition of the uncoupled system. We also discuss the role of the timescale separation in the coupled FitzHugh-Nagumo system and the relation of the leap-frog solutions to the theory of mixed-mode oscillations in multiple timescale systems.
dc.identifier.doi10.1103/physreve.99.042207
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.scopus2-s2.0-85064414649
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/145
dc.identifier.wos000464749700002
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review E
dc.relation.ispartofabbrPhys. Rev. E
dc.rightsrestrictedAccess
dc.titleLeap-frog patterns in systems of two coupled FitzHugh-Nagumo units
dc.typeArticle
dc.type.versionpublishedVersion
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