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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…
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,…
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…
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…
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…