4 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…
Phase Transitions and Order Parameters in Correlation Matrices: A Wishart-Ensemble Perspective on the Largest Eigenvalue
Roberto da Silva, Antonio Mihara, Henrique Tramontina +1
We investigate the properties of the largest eigenvalue of correlation matrices within the framework of Wishart ensembles. In this work, we propose the largest eigenvalue as an eff…
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…