8 citations · 19 across the 5 of their papers we have counts for
7 papers
The Kuramoto model on the Sierpinski Gasket II: Twisted states
Georgi S. Medvedev, Matthew S. Mizuhara
We study the Kuramoto model (KM) of coupled phase oscillators on graphs approximating the Sierpinski gasket (SG). As the size of the graph tends to infinity, the limit points of th…
Instability of mixing in the Kuramoto model: From bifurcations to patterns
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
We study patterns observed right after the loss of stability of mixing in the Kuramoto model of coupled phase oscillators with random intrinsic frequencies on large graphs, which c…
Dynamics of a cell motility model near the sharp interface limit
Nicolas Bolle, Matthew S. Mizuhara
Phase-field models have recently had great success in describing the dynamic morphologies and motility of eukaryotic cells. In this work we investigate the minimal phase-field mode…
Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!
Nicholas A. Battista, Matthew S. Mizuhara
When is good, good enough? This question lingers in approximation theory and numerical methods as a competition between accuracy and practicality. Numerical Analysis is traditional…
Bifurcations in the Kuramoto model on graphs
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
In his classical work, Kuramoto analytically described the onset of synchronization in all-to-all coupled networks of phase oscillators with random intrinsic frequencies. Specifica…
Minimal Model of Directed Cell Motility on Patterned Substrates
Matthew S. Mizuhara, Leonid Berlyand, Igor S. Aronson
Crawling cell motility is vital to many biological processes such as wound healing and the immune response. Using a minimal model we investigate the effects of patterned substrate…