Transition to chaos in a fluid motion system

Zhi-Min Chen and W.G. Price

Chaos, Solitons & Fractals, 2005, vol. 26, issue 4, 1195-1202

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:4:p:1195-1202

DOI: 10.1016/j.chaos.2005.02.045

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