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 ...

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 ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

The previous framework (left) fails to take into account noises of the brain. The brain state transitions were written as point-to-point, the dynamics as deterministic, and the control cost as the ...