dc.contributor.author | Ashwin, P | |
dc.contributor.author | Bick, C | |
dc.contributor.author | Poignard, C | |
dc.date.accessioned | 2021-09-03T08:04:19Z | |
dc.date.issued | 2021-09-27 | |
dc.description.abstract | A dead zone in the interaction between two dynamical systems is a region of their joint phase space where one system is insensitive to the changes in the other. These can arise in a number of contexts, and their presence in phase interaction functions has interesting dynamical consequences for the emergent dynamics. In this paper, we consider dead zones in the interaction of general coupled dynamical systems. For weakly coupled limit cycle oscillators, we investigate criteria that give rise to dead zones in the phase interaction functions. We give applications to coupled multiscale oscillators where coupling on only one branch of a relaxation oscillation can lead to the appearance of dead zones in a phase description of their interaction. | en_GB |
dc.description.sponsorship | Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
dc.identifier.citation | Vol. 31,(9), article 093132 | en_GB |
dc.identifier.doi | 10.1063/5.0063423 | |
dc.identifier.grantnumber | EP/N014391/1 | en_GB |
dc.identifier.grantnumber | EP/T013613/1 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/126951 | |
dc.language.iso | en | en_GB |
dc.publisher | American Institute of Physics | en_GB |
dc.rights | © 2021 Author(s). Published under an exclusive license by AIP Publishing. | |
dc.title | Dead zones and phase reduction of coupled oscillators | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2021-09-03T08:04:19Z | |
dc.identifier.issn | 1054-1500 | |
dc.description | This is the author accepted manuscript. The final version is available from the American Institute of Physics via the DOI in this record | en_GB |
dc.description | The MATLAB code that generates the data in
support the findings of this study is openly available in https://github.com in the repository
/peterashwin/dead-zone-reduction-2021. | en_GB |
dc.identifier.eissn | 1089-7682 | |
dc.identifier.journal | Chaos | en_GB |
dc.rights.uri | http://www.rioxx.net/licenses/all-rights-reserved | en_GB |
dcterms.dateAccepted | 2021-08-30 | |
rioxxterms.version | AM | en_GB |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2021-09-03T08:00:29Z | |
refterms.versionFCD | AM | |
refterms.dateFOA | 2021-10-29T14:43:07Z | |
refterms.panel | B | en_GB |