Singular perturbations in noisy dynamical systems

DOI10.1017/S0956792518000025zbMath1394.37083OpenAlexW2794305505MaRDI QIDQ4581340

Bernard J. Matkowsky

Publication date: 17 August 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792518000025

zbMATH Keywords

singular perturbationasymptotic expansionWKB method

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

Singular perturbations in noisy dynamical systems - CORRIGENDUM ⋮ RETRACTED: Asymptotic behavior of the solution of a singularly perturbed general boundary value problem with boundary jumps ⋮ Eight Perspectives on the Exponentially Ill-Conditioned Equation $\varepsilon y - x y' + y = 0$

Cites Work

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• Colored noise in activated rate processes
• A singular perturbation approach to first passage times for Markov jump processes
• Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung
• The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\)
• Singular perturbations of non-linear oscillations
• Diffusion Across Characteristic Boundaries with Critical Points
• A Singular Perturbation Approach to Non-Markovian Escape Rate Problems
• Colored Noise in Dynamical Systems
• A Variational Approach to Nonlinear Singularly Perturbed Boundary-Value Problems
• Eigenvalues of the Fokker–Planck Operator and the Approach to Equilibrium for Diffusions in Potential Fields
• A Singular Perturbation Approach to Kramers’ Diffusion Problem
• Diffusion Across Characteristic Boundaries
• Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
• The Exit Problem for Randomly Perturbed Dynamical Systems
• A Variational Approach to Singularly Perturbed Boundary Value Problems for Ordinary and Partial Differential Equations with Turning Points
• The Exit Problem: A New Approach to Diffusion Across Potential Barriers
• A Method for Incorporating Transcendentally Small Terms into the Method of Matched Asymptotic Expansions
• First-Order Dynamics Driven by Rapid Markovian Jumps
• On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems
• Boundary Layer Problems Exhibiting Resonance
• On a Formula Concerning Stochastic Differentials
• Brownian motion in a field of force and the diffusion model of chemical reactions

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