Study of noise-induced transitions in the Lorenz system using the minimum action method
type: Item
instance of: scholarly article
title: Study of noise-induced transitions in the Lorenz system using the minimum action method
zbMATH Open document ID: 1202.34104
author: Xiang Zhou
author: Weinan E
published in: Communications in Mathematical Sciences
publication date: 2010-07-30T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.cms/1274816885
review text: The authors study the behaviour of noise-induced transitions in non-gradient systems when complex invariant sets emerge. Specific attention is paid to the Lorenz system, before the homoclininc explosion bifurcation and when the chaotic invariant set emerges. Further, based on the Freidlin-Wentzell theory, they use the minimum action method to identify the optimal transition path.
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5762821
zbMATH Keywords: noise-induced transitions
zbMATH Keywords: Lorenz system
zbMATH Keywords: limit cycle
zbMATH Keywords: transition set
zbMATH Keywords: minimum action path
reviewed by: Andrew Dale
MaRDI profile type: Publication
OpenAlex ID: W2154218281
DOI: 10.4310/CMS.2010.V8.N2.A3
description: scientific article; zbMATH DE number 5762821