Analytical and experimental study of two delay-coupled excitable units

Jan Danckaert, Thomas Erneux, Lars Keuninckx, L. Weicker

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13 Citations (Scopus)

Abstract

We investigate the onset of time-periodic oscillations for a system of two identical delay-coupled excitable (nonoscillatory) units. We first analyze these solutions by using asymptotic methods. The oscillations are described as relaxation oscillations exhibiting successive slow and fast changes. The analysis highlights the determinant role of the delay during the fast transition layers. We then study experimentally a system of two coupled electronic circuits that is modeled mathematically by the same delay differential equations. We obtain quantitative agreements between analytical and experimental bifurcation diagrams.
Original languageEnglish
Article number012908
Number of pages7
JournalPhysical Review E
Volume89
Issue number1
DOIs
Publication statusPublished - 9 Jan 2014

Keywords

  • Applied Physics

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