Firing-rate, symbolic dynamics and frequency dependence in periodically driven spiking models: a piecewise-smooth approach

Research output: Contribution to journalJournal article – Annual report year: 2015Researchpeer-review

Without internal affiliation

View graph of relations

In this work we consider a periodically forced generic integrate-and-fire model with a unique attracting equilibrium in the subthreshold dynamics and study the dependence of the firing-rate on the frequency of the drive. In an earlier study we have obtained rigorous results on the bifurcation structure in such systems, with emphasis on the relation between the firing-rate and the rotation number of the existing periodic orbits. In this work we study how these bifurcation structures behave upon variation of the frequency of the input. This allows us to show that the dependence of the firing-rate on frequency of the drive follows a devil's staircase with non-monotonic steps and that there is an optimal response in the whole frequency domain. We also characterize certain bounded frequency windows in which the firing-rate exhibits a bell-shaped envelope with a global maximum.
Original languageEnglish
JournalNonlinearity
Volume28
Issue number5
Pages (from-to)1163-1192
ISSN0951-7715
DOIs
Publication statusPublished - 2015
Externally publishedYes
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • Firing-rate, Integrate-and-fire, Piecewise-smooth, Period adding, Border collision bifurcations
Download as:
Download as PDF
Select render style:
APAAuthorCBE/CSEHarvardMLAStandardVancouverShortLong
PDF
Download as HTML
Select render style:
APAAuthorCBE/CSEHarvardMLAStandardVancouverShortLong
HTML
Download as Word
Select render style:
APAAuthorCBE/CSEHarvardMLAStandardVancouverShortLong
Word

ID: 118437878