34 citations · 124 across the 16 of their papers we have counts for
8 papers · 1 filter
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…
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…
Singular fractal dimension at periodicity cascades in parameters spaces
Carlos E. P. Abreu, Joelson D. V. Hermes, Diogo Ricardo da Costa +2
In the parameter spaces of nonlinear dynamical systems, we investigate the boundaries between periodicity and chaos and unveil the existence of fractal sets characterized by a sing…
Basin sizes depend on stable eigenvalues in the Kuramoto model
Antonio Mihara, Michael Zaks, Elbert E. N. Macau +1
We show that for the Kuramoto model (with identical phase oscillators equally coupled) its global statistics and size of the basins of attraction can be estimated through the eigen…
The Boundaries of Synchronization in Oscillators Networks
Everton S Medeiros, Rene O. Medrano-T, Iberê L Caldas +1
We analyze the final state sensitivity of nonlocal networks with respect to initial conditions of their units. By changing the initial conditions of a single network unit, we pertu…
Exact dynamical solution of the Kuramoto-Sakaguchi Model for finite networks of identical oscillators
Antonio Mihara, Rene O. Medrano-T
We study the Kuramoto-Sakaguchi (KS) model composed by any N identical phase oscillators symmetrically coupled. Ranging from local (one-to-one, R = 1) to global (all-to-all, R = N/…
Replicate Periodic Windows in the Parameter Space of Driven Oscillators
E. S. Medeiros, S. L. T. de Souza, R. O. Medrano-T. +1
In the bi-dimensional parameter space of driven oscillators, shrimp-shaped periodic windows are immersed in chaotic regions. For two of these oscillators, namely, Duffing and Josep…
Periodic windows distribution resulting from homoclinic bifurcations in the two-parameter space
Rene Orlando Medrano-T., Iberê Luis Caldas
Periodic solution parameters, in chaotic dynamical systems, form periodic windows with characteristic distribution in two-parameter spaces. Recently, general properties of this org…