1 citations · 3 across the 17 of their papers we have counts for
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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 periodically forced Duffing--Holmes oscillator possesses a discrete symmetry under sign reversal of the coordinate combined with a half-period shift of the drive. When this sym…
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…
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…