Generalised Kuramoto models with time-delayed phase-resetting for k-dimensional clocks

Autor: Martin Brennan, Peter Grindrod CBE

Publikováno v: Brain Multiphysics, Vol 4, Iss , Pp 100070- (2023)

We consider a class of Kuramoto models, with an array of N individual k-dimensional clocks (k>1), coupled within a directed, range dependent, network. For each directed connection, a signal triggered at the sending clock incurs a (real valued) time d

Externí odkaz: https://doaj.org/article/e635bbda01544380a127a79df5181a8d

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Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators

Autor: León Merino, Iván, Pazó Bueno, Diego Santiago

Publikováno v: Chaos, 2022, 32(6), 063124

The dynamics of ensembles of phase oscillators are usually described considering their infinite-size limit. In practice, however, this limit is fully accessible only if the Ott-Antonsen theory can be applied, and the heterogeneity is distributed foll

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2473::cc9632d6deedc96f45bcc952d843d536
https://hdl.handle.net/10902/27491

Collective canard explosions of globally-coupled rotators with adaptive coupling

Autor: Marzena Ciszak, Francesco Marino, Alessandro Torcini, Simona Olmi, Giacomo Innocenti

Publikováno v: Chaos, solitons and fractals 153 (2021): 111592-1–111592-8. doi:10.1016/j.chaos.2021.111592
info:cnr-pdr/source/autori:Ciszak M.; Olmi S.; Innocenti G.; Torcini A.; Marino F./titolo:Collective canard explosions of globally-coupled rotators with adaptive coupling/doi:10.1016%2Fj.chaos.2021.111592/rivista:Chaos, solitons and fractals/anno:2021/pagina_da:111592-1/pagina_a:111592-8/intervallo_pagine:111592-1–111592-8/volume:153

Canards, special trajectories that follow invariant repelling slow manifolds for long time intervals, have been frequently observed in slow-fast systems of either biological, chemical and physical nature. Here, collective canard explosions are demons

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9efd5a725df7c38d8b87f29a606a5326

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