Optimal perturbation for enhanced chaotic transport
type: Item
instance of: scholarly article
title: Optimal perturbation for enhanced chaotic transport
zbMATH Open document ID: 1080.34028
author: Sanjeeva Balasuriya
published in: Physica D
publication date: 2005-06-01T00:00:00Z
review text: The author considers a perturbed autonomous Hamiltonian system as a model of a fluid flow. In the two-dimensional case, it is assumed that the nonperturbed system has a separatrice joining two hyperbolic saddle rest points. The geometry of separatrices after a perturbation determines the so-called ``flux across a separatrice''. The problem is to determine perturbations that are optimal in the sense of the resulting flux. A similar problem is studied in the three-dimensional case. Two examples (planar cellular flow and Hill's spherical vortex) are analyzed.
reviewed by: Sergei Yu. Pilyugin
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 76B99
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 2173557
zbMATH Keywords: Chaotic flux
zbMATH Keywords: Melnikov's method
zbMATH Keywords: Optimal mixing
zbMATH Keywords: Micro-fluidic devices
MaRDI profile type: Publication
full work available at URL: j.physd.2004.11.018
OpenAlex ID: W1999879031
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DOI: 10.1016/J.PHYSD.2004.11.018
description: scientific article; zbMATH DE number 2173557