Document Type
Article
Publication Date
1-1-2018
Journal / Book Title
SIAM Review
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.
DOI
10.1137/17M1142028
MSU Digital Commons Citation
Forgoston, Eric and Moore, Richard O., "A Primer on Noise-Induced Transitions in Applied Dynamical Systems" (2018). Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works. 5.
https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/5
Published Citation
Forgoston, E., & Moore, R. O. (2018). A primer on noise-induced transitions in applied dynamical systems. SIAM Review, 60(4), 969-1009.