833 citations · 1.4k across the 14 of their papers we have counts for
15 papers
Neural-Operator-Predicted Time-Dependent Reduced Subspaces for Projection-Based Simulation of Nonlinear PDEs
Boxi Song, Rennie Mirollo, Jan R. Engelbrecht
Accurate numerical simulation of nonlinear partial differential equation initial value problems typically requires high-dimensional full-order discretizations at substantial comput…
Is the Ott-Antonsen manifold attracting?
Jan R. Engelbrecht, Renato Mirollo
The Kuramoto model is a paradigm for studying oscillator networks with interplay between coupling tending towards synchronization, and heterogeneity in the oscillator population dr…
Dynamics of the Kuramoto-Sakaguchi Oscillator Network with Asymmetric Order Parameter
Bolun Chen, Jan R. Engelbrecht, Renato Mirollo
We study the dynamics of a generalized version of the famous Kuramoto-Sakaguchi coupled oscillator model. In the classic version of this system, all oscillators are governed by the…
Hyperbolic Geometry of Kuramoto Oscillator Networks
Bolun Chen, Jan R. Engelbrecht, Renato Mirollo
Kuramoto oscillator networks have the special property that their trajectories are constrained to lie on the (at most) 3D orbits of the Möbius group acting on the state space …
Dynamical Phase Transitions In Driven Integrate-And-Fire Neurons
Jan R. Engelbrecht, Renato Mirollo
We explore the dynamics of an integrate-and-fire neuron with an oscillatory stimulus. The frustration due to the competition between the neuron's natural firing period and that of…
Photoemission spectra of Sr_2 RuO_4 and its relation to anisotropic transport
S. -C. Wang, H. -B. Yang, A. Kaminski +7
This paper has been withdrawn by the authors. We are in the process of obtaining more data and will resubmit a modified manuscript in the near future.