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 language | English |
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Article number | 012908 |
Number of pages | 7 |
Journal | Physical Review E |
Volume | 89 |
Issue number | 1 |
DOIs | |
Publication status | Published - 9 Jan 2014 |
Keywords
- Applied Physics