1 citations · 1 across the 5 of their papers we have counts for
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Jacobian determinant as a deformation field in static billiards
Anne Kétri P. da Fonseca, André L. P. Livorati, Rene O. Medrano-T +2
We develop a deformation-based framework for analyzing static billiard systems through the Jacobian determinant computed in noncanonical angular coordinates. Although these systems…
Describing a Universal Critical Behavior in a transition from order to chaos
Edson D. Leonel, Mayla A. M. de Almeida, Juan Pedro Tarigo +2
We present a comprehensive discussion of a transition from integrability to non-integrability in an oval billiard with a static boundary. This transition is controlled by a deforma…
Universal Second-Order Phase Transition from Integrability to Chaos
Edson D. Leonel, Mayla A. M. de Almeida, Juan Pedro Tarigo +2
We report a dynamical phase transition from integrability to non-integrability in a simple oval-like billiard with boundary . For , the phase space is {\it f…
A phenomenological description of critical slowing down at period-doubling bifurcations
Edson D. Leonel, João P. C. Ferreira, Diego F. M. Oliveira
We present a phenomenological description of the critical slowing down associated with period-doubling bifurcations in discrete dynamical systems. Starting from a local Taylor expa…
Convergence Dynamics and Scaling Laws in the Dissipative Relativistic Kicked Rotator
Daniel Borin, Danilo S. Rando, Edson D. Leonel +1
We investigate the convergence dynamics of this system near period-doubling bifurcations by combining analytical derivations and large-scale numerical simulations. At the bifurcati…
Scaling invariance for the diffusion coefficient in a billiard system
Anne Kétri P. da Fonseca, Diego F. M. Oliveira, Edson D. Leonel
We investigated the unbounded diffusion observed in a time-dependent oval-shaped billiard and its suppression owing to inelastic collisions with the boundary. The main focus is on…