Isochronous islands in the two-harmonic standard map
General Physics
2025-04-30 v1
Abstract
Isochronous islands are regular solutions related to different chains of elliptic points but with the same winding number. These isochronous islands emerge in phase space as a response to multiple resonant perturbations and can be simulated using a simple discrete model called the two-harmonic standard map. We observed three types of isochronous transitions, which can be formed through saddle-node and pitchfork bifurcations.
Cite
@article{arxiv.2504.20177,
title = {Isochronous islands in the two-harmonic standard map},
author = {Michele Mugnaine and Bruno B. Leal and Alfredo M. Ozorio de Almeida and Ricardo L. Viana and Iberê L. Caldas},
journal= {arXiv preprint arXiv:2504.20177},
year = {2025}
}