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Caputo fractional standard map: Scaling invariance analyses

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  • Borin, Daniel

Abstract

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.

Suggested Citation

  • Borin, Daniel, 2024. "Caputo fractional standard map: Scaling invariance analyses," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001486
    DOI: 10.1016/j.chaos.2024.114597
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    References listed on IDEAS

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    1. Méndez-Bermúdez, J.A. & Peralta-Martinez, Kevin & Sigarreta, José M. & Leonel, Edson D., 2023. "Leaking from the phase space of the Riemann–Liouville fractional standard map," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
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