112 citations · 478 across the 43 of their papers we have counts for
41 papers · 1 filter
Phase-space organization of the elastic pendulum: chaotic fraction, energy exchanges, and the order-chaos-order transition
Juan P. Tarigo, Cecilia Stari, Edson D. Leonel +1
We study the phase-space organization of the planar elastic pendulum as a function of its two dimensionless control parameters: the reduced energy and the squared frequency rat…
Stochastic Web Map: Survival probability and escape frequency
K. B. Hidalgo-Castro, J. A. Méndez-Bermúdez, Edson D. Leonel
We study transport and escape in the Stochastic Web Map (SWM), an area-preserving system with phase-space structure controlled by a symmetry parameter and nonlinearity . By…
High Energy States of Recurrent Chaotic Trajectories in Time-Dependent Potential Well
Matheus S. Palmero, Flavio H. Graciano, Edson D. Leonel +1
In this numerical study, recurrence quantification analysis of chaotic trajectories is explored to detect atypical dynamical behaviour in non-linear Hamiltonian systems. An ensembl…
Scaling Invariance: A Gateway to Phase Transitions
Edson D. Leonel
We explore the concept of scaling invariance in a type of dynamical systems that undergo a transition from order (regularity) to disorder (chaos). The systems are described by a tw…
Leaking from the phase space of the Riemann-Liouville fractional standard map
J. A. Méndez Bermúdez, Kevin Peralta-Martinez, José M. Sigarreta +1
In this work we characterize the escape of orbits from the phase space of the Riemann-Liouville (RL) fractional standard map (fSM). The RL-fSM, given in action-angle variables, is…
Characterizing a transition from limited to unlimited diffusion in energy for a time-dependent billiard
Felipe Augusto O. Silveira, Anne Kétri P. da Fonseca, Peter Schmelcher +2
We explore Fermi acceleration in a driven oval billiard which shows unlimited to limited diffusion in energy when passing from the free to the dissipative case. We provide evidence…