A primer on noise-induced transitions in applied dynamical systems

Document Type

Article

Publication Date

1-1-2018

Abstract

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in large behavioral changes such as transitions between or escapes from quasi-stable states. These transitions can correspond to critical events such as failures or extinctions that make them essential phenomena to understand and quantify, despite the fact that their occurrence is rare. This article will provide an overview of the theory underlying the dynamics of rare events for stochastic models along with some example applications.

Identifier

85056577100 (Scopus)

Publication Title

SIAM Review

External Full Text Location

https://doi.org/10.1137/17M1142028

ISSN

00361445

First Page

969

Last Page

1009

Issue

4

Volume

60

Grant

1109278

Fund Ref

National Science Foundation

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