3 papers
nlin.CD2026
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…
nlin.CD2025
Rotational Symmetry-Breaking effects in the Kuramoto model
Antonio Mihara, Rene O. Medrano-T
We study the bifurcations and phase diagram for a network of identical Kuramoto oscillators with a coupling that explicitly breaks the rotational symmetry of the equations. Applyin…
math.DS2025
Geometric perspective of linear stability in finite networks of nonlinear oscillators
Yashee Sinha, Priya B. Jain, Antonio Mihara +4
We use a complex-valued transformation of the Kuramoto model to develop an operator-description of the linear stability in finite networks of nonlinear oscillators. This mathematic…