34 citations · 124 across the 16 of their papers we have counts for
17 papers
Phase-delays shape multistability and basin sizes in Kuramoto networks: analytical estimates from network structure
Kalel L. Rossi, Antonio Mihara, Lyle E. Muller +2
We study how network connectivity and heterogeneous phase-delays shape the spatiotemporal dynamics of finite oscillator networks. Phase-delays can destabilize global synchronizatio…
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…
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…
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…
Density of instantaneous frequencies in the Kuramoto-Sakaguchi model
Julio D. da Fonseca, Edson D. Leonel, Rene O. Medrano-T
We obtain a formula for the statistical distribution of instantaneous frequencies in the Kuramoto-Sakaguchi model. This work is based on the Kuramoto-Sakaguchi's theory of globally…
Chua Circuit based on the Exponential Characteristics of Semiconductor Devices
Ronilson Rocha, Rene Orlando Medrano-T
The use of non-ideal features of semiconductor devices is an interesting option for implementations of nonlinear electronic systems. This paper analyzes the Chua circuit with nonli…
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…
Coupling-induced periodic windows in networked discrete-time systems
Leonard Hallier, Everton S. Medeiros, Antonio Mihara +2
Networked nonlinear systems present a variety of emergent phenomena as a result of the mutual interactions between their units. An interesting feature of these systems is the prese…
Sparsity-driven synchronization in oscillators networks
Antonio Mihara, Everton S. Medeiros, Anna Zakharova +1
The emergence of synchronized behavior is a direct consequence of networking dynamical systems. Naturally, strict instances of this phenomenon, such as the states of complete synch…
Partial synchronization in the Kuramoto model with attractive and repulsive interactions via the Bellerophon state
Erik Teichmann, Rene O. Medrano-T
We study two groups of nonidentical Kuramoto oscillators with differing frequency distributions. Coupling between the groups is repulsive, while coupling between oscillators of the…
Real-time vulnerability of synchronized states
Everton S Medeiros, Rene O. Medrano-T, Iberê Luiz Caldas +2
The time-dependent vulnerability of synchronized states is shown for a complex network composed of electronic circuits. We demonstrate that disturbances to the local dynamics of ne…
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/…
Torsion-Adding and Asymptotic Winding Number for Periodic Window Sequences
E. S. Medeiros, R. O. Medrano-T, I. L. Caldas +1
In parameter space of nonlinear dynamical systems, windows of periodic states are aligned following routes of period-adding configuring periodic window sequences. In state space of…
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…