Identifying ballistic modes via Poincaré sections
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910613776629760 |
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| author | Bósio, André Farinha Caldas, Iberê Luiz Viana, Ricardo Luiz Elskens, Yves |
| author_facet | Bósio, André Farinha Caldas, Iberê Luiz Viana, Ricardo Luiz Elskens, Yves |
| contents | Exploring chaotic systems via Poincaré sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical regimes considered. In this paper, we propose a new approach that uses image processing to distinguish chaotic and regular regions of area-preserving dynamics, and then classify the transport regime. We characterize different transport regimes in the standard map with the proposed method based on image reconstruction techniques, identifying the superdiffusion much faster than the usual mean square displacement method. The procedure is also applied to a two-wave, time-dependent Hamiltonian to investigate superdiffusion in function of two parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Identifying ballistic modes via Poincaré sections Bósio, André Farinha Caldas, Iberê Luiz Viana, Ricardo Luiz Elskens, Yves Chaotic Dynamics Computational Physics Exploring chaotic systems via Poincaré sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical regimes considered. In this paper, we propose a new approach that uses image processing to distinguish chaotic and regular regions of area-preserving dynamics, and then classify the transport regime. We characterize different transport regimes in the standard map with the proposed method based on image reconstruction techniques, identifying the superdiffusion much faster than the usual mean square displacement method. The procedure is also applied to a two-wave, time-dependent Hamiltonian to investigate superdiffusion in function of two parameters. |
| title | Identifying ballistic modes via Poincaré sections |
| topic | Chaotic Dynamics Computational Physics |
| url | https://arxiv.org/abs/2409.13086 |