Describing dynamics of driven multistable oscillators with phase transfer curves
- Phase response curve is an important tool in the studies of stable self-sustained oscillations; it describes a phase shift under action of an external perturbation. We consider multistable oscillators with several stable limit cycles. Under a perturbation, transitions from one oscillating mode to another one may occur. We define phase transfer curves to describe the phase shifts at such transitions. This allows for a construction of one-dimensional maps that characterize periodically kicked multistable oscillators. We show that these maps are good approximations of the full dynamics for large periods of forcing. Published by AIP Publishing.
Author details: | Evgeny GrinesORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
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DOI: | https://doi.org/10.1063/1.5037290 |
ISSN: | 1054-1500 |
ISSN: | 1089-7682 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/30384664 |
Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
Publisher: | American Institute of Physics |
Place of publishing: | Melville |
Publication type: | Article |
Language: | English |
Date of first publication: | 2018/10/18 |
Publication year: | 2018 |
Release date: | 2021/09/20 |
Volume: | 28 |
Issue: | 10 |
Number of pages: | 6 |
Funding institution: | Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |
Publishing method: | Open Access / Green Open-Access |