Multistable jittering in oscillators with pulsatile delayed feedback
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2100 | |
dc.contributor.author | Klinshov, Vladimir | |
dc.contributor.author | Lücken, Leonhard | |
dc.contributor.author | Shchapin, Dmitry | |
dc.contributor.author | Nekorkin, Vladimir | |
dc.contributor.author | Yanchuk, Serhiy | |
dc.date.available | 2019-06-28T08:22:27Z | |
dc.date.issued | 2015 | |
dc.description.abstract | Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in recent years. For such systems, we report a remarkable scenario of destabilization of a periodic regular spiking regime. At the bifurcation point numerous regimes with non-equal interspike intervals emerge. We show that the number of the emerging, so-called jittering regimes grows exponentially with the delay value. Although this appears as highly degenerate from a dynamical systems viewpoint, the multi-jitter bifurcation occurs robustly in a large class of systems. We observe it not only in a paradigmatic phase-reduced model, but also in a simulated Hodgkin-Huxley neuron model and in an experiment with an electronic circuit. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2702 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3327 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Phase oscillator | eng |
dc.subject.other | delayed feedback | eng |
dc.subject.other | pulsatile feedback | eng |
dc.subject.other | jitter | eng |
dc.subject.other | degenerate bifurcation | eng |
dc.subject.other | PRC | eng |
dc.title | Multistable jittering in oscillators with pulsatile delayed feedback | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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