14 citations · 30 across the 11 of their papers we have counts for
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Dissipative fractional standard maps: Riemann-Liouville and Caputo
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
In this study, given the inherent nature of dissipation in realistic dynamical systems, we explore the effects of dissipation within the context of fractional dynamics. Specificall…
Tunable subdiffusion in the Caputo fractional standard map
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
The Caputo fractional standard map (C-fSM) is a two-dimensional nonlinear map with memory given in action-angle variables . It is parameterized by and which…
Scaling properties of the action in the Riemann-Liouville fractional standard map
J. A. Mendez-Bermudez, R. Aguilar-Sanchez, J. M. Sigarreta +1
The Riemann-Liouville fractional standard map (RL-fSM) is a two-dimensional nonlinear map with memory given in action-angle variables . The RL-fSM is parameterized by an…
Dynamical properties of a dissipative discontinuous map: A scaling investigation
R. Aguilar-Sanchez, Edson D. Leonel, J. A. Mendez-Bermudez
The effects of dissipation on the scaling properties of nonlinear discontinuous maps are investigated by analyzing the behavior of the average squared action a…
Scaling properties of discontinuous maps
J. A. Mendez-Bermudez, R. Aguilar-Sanchez
We study the scaling properties of discontinuous maps by analyzing the average value of the squared action variable . We focus our study on two dynamical regimes separated by…