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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.

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More information

Published date: 2005
Organisations: Fluid Structure Interactions Group

Identifiers

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

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Date deposited: 14 May 2007
Last modified: 13 Mar 2019 21:04

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Contributors

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

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