Effects of manifolds and corner singularities on stretching in chaotic cavity flows
type: Item
instance of: scholarly article
title: Effects of manifolds and corner singularities on stretching in chaotic cavity flows
zbMATH Open document ID: 0816.76026
DOI: 10.1016/0960-0779(94)90036-1
author: V. Pereyra
published in: Chaos, Solitons and Fractals
publication date: 1995-07-16T00:00:00Z
review text: It has been earlier assumed that the stretching field in chaotic flows evolves as a result of a random multiplicative process. This assumption has been used to derive an asymptotic scaling formalism of distributions of stretching values. Deviations from this scaling were thought to be limited to cases with regular islands. However, as is shown in this paper for the chaotic cavity flow, deviations from the proposed scaling can also occur for globally chaotic flows as a result of the joint action of unstable manifolds of hyperbolic periodic point and of singularities at the corners of the cavity.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 716233
zbMATH Keywords: random multiplicative stretching
zbMATH Keywords: asymptotic scaling formalism
zbMATH Keywords: globally chaotic flows
zbMATH Keywords: hyperbolic periodic point
MaRDI profile type: Publication
full work available at URL: 0960-0779(94)90036-1
OpenAlex ID: W2012527183
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description: scientific article; zbMATH DE number 716233