206 citations · 556 across the 17 of their papers we have counts for
5 papers · 1 filter
Effects of moderate noise on a limit cycle oscillator: Counter rotation and bistability
Jay M. Newby, Michael A. Schwemmer
The effects of noise on the dynamics of nonlinear systems is known to lead to many counter-intuitive behaviors. Using simple planar limit cycle oscillators, we show that the additi…
Metastability in a stochastic neural network modeled as a velocity jump Markov process
Paul C. Bressloff, Jay M. Newby
One of the major challenges in neuroscience is to determine how noise that is present at the molecular and cellular levels affects dynamics and information processing at the macros…
Metastable behavior in Markov processes with internal states
Jay Newby, Jon Chapman
A perturbation framework is developed to analyze metastable behavior in stochastic processes with random internal and external states. The process is assumed to be under weak noise…
Breakdown of fast-slow analysis in an excitable system with channel noise
Jay M. Newby, Paul C. Bressloff, James P. Keener
We consider a stochastic version of an excitable system based on the Morris-Lecar model of a neuron, in which the noise originates from stochastic Sodium and Potassium ion channels…
Uniform asymptotic approximation of diffusion to a small target
Samuel A. Isaacson, Jay Newby
The problem of the time required for a diffusing molecule, within a large bounded domain, to first locate a small target is prevalent in biological modeling. Here we study this pro…