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20242026
most citedScaling properties of the action in the Riemann-Liouville fractional standard map

1 citations · 1 across the 10 of their papers we have counts for

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nlin.CD2024

Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map

Matheus Rolim Sales, Michele Mugnaine, Edson Denis Leonel +2

An interesting feature in dissipative nonlinear systems is the emergence of characteristic domains in parameter space that exhibit periodic temporal evolution, known as shrimp-shap…

nlin.CD2024

An investigation of escape and scaling properties of a billiard system

Matheus Rolim Sales, Daniel Borin, Diogo Ricardo da Costa +2

We investigate some statistical properties of escaping particles in a billiard system whose boundary is described by two control parameters with a hole on its boundary. Initially,…

nlin.CD2024

Ratchet current and scaling properties in a nontwist mapping

Matheus Rolim Sales, Daniel Borin, Leonardo Costa de Souza +4

We investigate the transport of particles in the chaotic component of phase space for a two-dimensional, area-preserving nontwist map. The survival probability for particles within…

nlin.CD2024★ 1 cited

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…

nlin.CD2024

Exploring the Fascinating World of Bouncing Balls: Adventures in Two Time-Dependent Billiards

Edson Denis Leonel

This paper explores two instances where dissipation plays a crucial role in curbing the unbounded energy growth of particles in time-dependent billiards. The first example involves…