The study of stochastic dynamics and bifurcation analysis in oscillatory systems has emerged as a pivotal field in understanding how random perturbations interact with nonlinear processes. At its core ...

A major goal of microbial community ecology is to understand the forces that structure community composition. Deterministic selection by specific environmental factors is sometimes important, but in ...

We use asymptotic methods to analyze the effects of discreteness and random noise on a mathematical model of the lithiation/delithiation dynamics of a single electrode nanoparticle. We begin by ...