Caputo fractional standard map: Scaling invariance analyses

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.

Palavras-chave

Caputo derivative, Escape of particles, Fractional discrete map, Fractional standard map, Nonlinear dynamics, Scaling invariance, Scattering properties, Survival probability