Caputo Fractional Standard Map: Scaling Invariance Analyses
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911781028364288 |
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| author | Borin, Daniel |
| author_facet | Borin, Daniel |
| contents | In this paper, we investigate the scaling invariance of survival probability in the Caputo fractional standard map of the order $1<α<2$ considered on a cylinder. We consider relatively large values of the nonlinearity parameter $K$ for which the map is chaotic. The survival probability has a short plateau followed by an exponential decay and is scaling invariant for all considered values of $α$ and $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00524 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Caputo Fractional Standard Map: Scaling Invariance Analyses Borin, Daniel Chaotic Dynamics In this paper, we investigate the scaling invariance of survival probability in the Caputo fractional standard map of the order $1<α<2$ considered on a cylinder. We consider relatively large values of the nonlinearity parameter $K$ for which the map is chaotic. The survival probability has a short plateau followed by an exponential decay and is scaling invariant for all considered values of $α$ and $K$. |
| title | Caputo Fractional Standard Map: Scaling Invariance Analyses |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2312.00524 |