From the 1 of 15 linked papers with an AI index.
15 papers
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…
Integrability-breaking phase transitions in stadium-like billiards
Anne Kétri P. da Fonseca, Edson D. Leonel
We investigate integrability-breaking transitions in two classes of stadium-like billiards with parabolic boundaries. While focusing boundaries generate a mixed phase space in whic…
Recurrence and anti-recurrence patterns reveal an antiperiodic fingerprint that survives into chaos in the Duffing--Holmes oscillator
Arturo C. Marti, Edson D. Leonel
The paper introduces anti-recurrence plots to detect antiperiodic symmetry in the forced Duffing–Holmes oscillator, showing that this symmetry persists even in chaotic two-well reg…
Antiperiodic orbits and spontaneous symmetry breaking in the Duffing--Holmes oscillator
Arturo C. Marti, Edson D. Leonel
We investigate the origin and distribution of antiperiodicity -- oscillations satisfying -- in the periodically driven Duffing--Holmes oscillator, combining analytic…
Recurrence in two degrees of freedom Hamiltonian flows
Matheus Rolim Sales, Leonardo Costa de Souza, Iberê Luiz Caldas +2
Stickiness in mixed Hamiltonian systems causes chaotic trajectories to remain temporarily trapped near regular structures, making it difficult to distinguish regular, weakly chaoti…
Critical parameters of an oval billiard with an elliptical component
Anne Kétri P. da Fonseca, Anne Kétri P. da Fonseca, Joelson D. V. Hermes +1
We explore the critical parameters responsible for the transition from integrability to chaos in a family of billiards combining elliptical and oval deformations. Unlike standard o…