Caputo fractional standard map: Scaling invariance analyses

Daniel Borin

Chaos, Solitons & Fractals, 2024, vol. 181, issue C

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.

Keywords: Fractional standard map; Fractional discrete map; Caputo derivative; Escape of particles; Scattering properties; Survival probability; Scaling invariance; Nonlinear dynamics (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001486

DOI: 10.1016/j.chaos.2024.114597

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