Peter H. Baxendale

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20092026

most citedA Spectral Analysis of the Sequence of Firing Phases in Stochastic Integrate-and-Fire Oscillators

2 citations · 2 across the 2 of their papers we have counts for

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math.PR2026

Instability of a nonlinear oscillator with small friction and small additive noise

Peter H Baxendale

Let $λ = λ (β, σ, a, b)$ denote the top Lyapunov exponent for the linearization along trajectories of the noisy damped non-linear oscillator $x ¨ + β x ˙ + a x + b x^{3} = σ W ˙_{t}$ ,…

math.PR2009★ 2 cited

A Spectral Analysis of the Sequence of Firing Phases in Stochastic Integrate-and-Fire Oscillators

Peter Baxendale, John Mayberry

Integrate and fire oscillators are widely used to model the generation of action potentials in neurons. In this paper, we discuss small noise asymptotic results for a class of stoc…