@article{2017_LLE_Isochronous_Pulse_Coupled,
abstract = {We consider a network of identical pulse-coupled oscillators with delay and all-to-all coupling. We demonstrate that the discontinuous nature of the dynamics induces the appearance of isochronous regionsâ€”subsets of the phase space filled with periodic orbits having the same period. For fixed values of the network parameters each such isochronous region corresponds to a subset of initial states on an appropriate surface of section with non-zero dimension such that all periodic orbits in this set have qualitatively similar dynamical behaviour. We analytically and numerically study in detail such an isochronous region, give a proof of its existence, and describe its properties. We further describe other isochronous regions that appear in the system.},
archiveprefix = {arxiv},
author = {Li, P. and Lin, W. and Efstathiou, K.},
doi = {10.1063/1.4982794},
eprint = {1701.07626},
journal = {Chaos},
journalurl = {https://aip.scitation.org/journal/cha},
number = {5},
pages = {053103},
primaryclass = {math.DS},
title = {Isochronous dynamics in pulse coupled oscillator networks with delay},
volume = {27},
year = {2017}
}