2 papers
math.DS2026
A symmetric mechanism for symmetry-breaking in oscillator networks with strong nonlinear coupling
Theodore Vo, Yangyang Wang
In this article, we describe and analyse a novel mechanism for symmetry-breaking in minimal symmetrically coupled identical slow/fast oscillator networks with strong nonlinear mutu…
math.DS2025
A coordinate-independent Pontryagin-Rodygin theorem for slow-fast averaging
Bob Rink, Theodore Vo, Martin Wechselberger
The slow drift along a manifold of periodic orbits is a key mathematical structure underlying bursting dynamics in many scientific applications. While classical averaging theory, a…