111 citations · 180 across the 7 of their papers we have counts for
4 papers · 1 filter
On the root count of algebraic Kuramoto equations in cycle networks with uniform coupling
Tianran Chen, Evgeniia Korchevskaia
The Kuramoto model is a classical model used in the study of spontaneous synchronizations in networks of coupled oscillators. In this model, frequency synchronization configuration…
A toric deformation method for solving Kuramoto equations
Tianran Chen, Robert Davis
The study of frequency synchronization configurations in Kuramoto models is a ubiquitous mathematical problem that has found applications in many seemingly independent fields. In t…
Counting equilibria of the Kuramoto model using birationally invariant intersection index
Tianran Chen, Robert Davis, Dhagash Mehta
Synchronization in networks of interconnected oscillators is a fascinating phenomenon that appear naturally in many independent fields of science and engineering. A substantial amo…
Parallel degree computation for solution space of binomial systems with an application to the master space of gauge theories
Tianran Chen, Dhagash Mehta
The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equa…