Caputo fractional standard map: Scaling invariance analyses

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 .

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