Isochronous islands in the two-harmonic standard map
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908342655385600 |
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| author | Mugnaine, Michele Leal, Bruno B. de Almeida, Alfredo M. Ozorio Viana, Ricardo L. Caldas, Iberê L. |
| author_facet | Mugnaine, Michele Leal, Bruno B. de Almeida, Alfredo M. Ozorio Viana, Ricardo L. Caldas, Iberê L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isochronous islands in the two-harmonic standard map Mugnaine, Michele Leal, Bruno B. de Almeida, Alfredo M. Ozorio Viana, Ricardo L. Caldas, Iberê L. General Physics 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. |
| title | Isochronous islands in the two-harmonic standard map |
| topic | General Physics |
| url | https://arxiv.org/abs/2504.20177 |