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Caputo fractional standard map: Scaling invariance analyses

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Author(s):
Borin, Daniel
Total Authors: 1
Document type: Journal article
Source: CHAOS SOLITONS & FRACTALS; v. 181, p. 5-pg., 2024-02-20.
Abstract

In this paper, we investigate the scaling invariance of survival probability in the Caputo fractional standard map of the order 1 < alpha < 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 alpha and K. (AU)

FAPESP's process: 22/03612-6 - Transport of particles in chaotic seas
Grantee:Daniel Borin
Support Opportunities: Scholarships in Brazil - Doctorate