Isochronous islands in the two-harmonic standard map

Michele Mugnaine; Bruno B. Leal; Alfredo M. Ozorio de Almeida; Ricardo L. Viana; Iberê L. Caldas

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arXiv · 2504.20177

Isochronous islands in the two-harmonic standard map

Michele Mugnaine·Bruno B. Leal·Alfredo M. Ozorio de Almeida·Ricardo L. Viana·Iberê L. Caldas

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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.

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Michele Mugnaine, Bruno B. Leal, Alfredo M. Ozorio de Almeida, Ricardo L. Viana, Iberê L. Caldas. 2025-04-28. Isochronous islands in the two-harmonic standard map. https://arxiv.org/abs/2504.20177

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