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4 papers · 1 filter
Synchronization conditions in the Kuramoto model and their relationship to seminorms
Jared C. Bronski, Thomas E. Carty, Lee DeVille
In this paper we address two questions about the synchronization of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical resu…
A Matrix Valued Kuramoto Model
Jared C. Bronski, Thomas E. Carty, Sarah E. Simpson
Beginning with the work of Lohe [14,15] there have been a number of papers [3,5,8,9,11] that have generalized the Kuramoto model for phase-locking to a non-commuting situation. Her…
Configurational stability for the Kuramoto-Sakaguchi model
Jared Bronski, Thomas Carty, Lee DeVille
The Kuramoto--Sakaguchi model is a modification of the well-known Kuramoto model that adds a phase-lag paramater, or "frustration" to a network of phase-coupled oscillators. The Ku…
Bounded Topological Speedups
Lori Alvin, Drew D. Ash, Nicholas S. Ormes
This paper explores the range of bounded speedups in the topological category. Bounded speedups represent both a strengthening of topological speedups as defined in [A 16] and a ge…