2013/07/04 by Christophe Poquet, Poquet, Christophe
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #37N25 #60F10 #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Field-Flow Fractionation Techniques #Probability (math.PR) #Stability and Controllability of Differential Equations #Stochastic processes and financial applications #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1307.1369
openalex publication_date 2013/07/04 · openalex created_date 2022/12/23 · openalex updated_date 2026/07/28
We consider n-dimensional deterministic flows obtained by perturbing a\ngradient flow. We assume that the gradient flow admits a stable curve of\nstationary points, and thus if the perturbation is not too large the perturbed\nflow also admits an attracting curve. We show that the noise induced escape\nproblem from a stable fixed point of this curve can be reduced to a\none-dimensional problem: we can approximate the associated quasipotential by\nthe one associated to the restricted dynamics on the stable curve. The error of\nthis approximation is given in terms of the size of the perturbation.\n