37 citations · 138 across the 23 of their papers we have counts for
26 papers
First-order integrability-breaking phase transitions in dynamical systems
Anne Ketri P. da Fonseca, Marcelo de Almeida Presotto, Diego F. M. Oliveira +1
We investigate a discontinuous route from integrability to chaos using a confined stochastic random walk and a deterministic stadium-like billiard. In both systems, the stationary…
First-Order Transition to Chaos with Critical Slowing Down
Anne Ketri P. da Fonseca, Marcelo de Almeida Presotto, Diego F. M. Oliveira +1
Can the transition from integrability to chaos be discontinuous? We show that it can, and that the resulting first-order dynamical transition coexists with critical slowing down. U…
A Symplectic Map Approach to Magnetic Field-Line Dynamics in Tokamaks
Diego F. M. Oliveira, Edson D. Leonel
Magnetic field-line transport in tokamaks is governed by the interplay between chaotic dynamics and invariant phase-space structures that act as partial transport barriers. We inve…
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…
Scaling invariance: a bridge between geometry, dynamics and criticality
Edson D. Leonel, Diego F. M. Oliveira
Scale invariance is a central organizing principle in physics, underlying phenomena that range from critical behaviour in statistical mechanics to transport and chaos in nonlinear…
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…