Journal article
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit
In
Nonlinearity
—
2021, Volume 34, Issue 2, pp. 1030-1083
Abstract
In this paper, we describe a novel type of relaxation oscillations occurring in a model of substrate-depletion oscillators. Using geometric singular perturbation theory, with blow-up as a key technical tool, we show that the oscillations in this planar model are produced by a complicated interplay between two stable nodes and a discontinuity set in the singular limit ɛ → 0.
This interplay produces a new mechanism for producing relaxation-type oscillations, which we also describe in a more general setting.
| Language: | English |
|---|---|
| Year: | 2021 |
| Pages: | 1030-1083 |
| ISSN: | 13616544 and 09517715 |
| Types: | Journal article |
| DOI: | 10.1088/1361-6544/abb542 |
| ORCIDs: | Uldall Kristiansen, K. and 0000-0002-0595-9320 |
