The University of Southampton
University of Southampton Institutional Repository

Transition to chaos in a fluid motion system

Transition to chaos in a fluid motion system
Transition to chaos in a fluid motion system
To provide a mathematical description of the chaotic behaviour in a fluid flow, a coupled system of seven ordinary differential equations is truncated from the Navier–Stokes equations in a plane domain. This truncation system shows a route to low-dimensional chaos through a Hopf bifurcation and a sequence of global bifurcations including periodic doubling.
0960-0779
1195-1202
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Chen, Zhi-Min and Price, W.G. (2005) Transition to chaos in a fluid motion system. Chaos, Solitons & Fractals, 26 (4), 1195-1202. (doi:10.1016/j.chaos.2005.02.045).

Record type: Article

Abstract

To provide a mathematical description of the chaotic behaviour in a fluid flow, a coupled system of seven ordinary differential equations is truncated from the Navier–Stokes equations in a plane domain. This truncation system shows a route to low-dimensional chaos through a Hopf bifurcation and a sequence of global bifurcations including periodic doubling.

This record has no associated files available for download.

More information

Published date: 2005
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 46029
URI: http://eprints.soton.ac.uk/id/eprint/46029
ISSN: 0960-0779
PURE UUID: 69ff5176-78e0-42e4-bd1c-b33b37713b3d

Catalogue record

Date deposited: 14 May 2007
Last modified: 15 Mar 2024 09:16

Export record

Altmetrics

Contributors

Author: Zhi-Min Chen
Author: W.G. Price

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×