Abstract and Applied Analysis

On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer

R. Idris, Z. Siri, and I. Hashim

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Abstract

A chaotic system arising from double-diffusive convection in a fluid layer is investigated in this paper based on the theory of dynamical systems. A five-dimensional model of chaotic system is obtained using the Galerkin truncated approximation. The results showed that the transition from steady convection to chaos via a Hopf bifurcation produced a limit cycle which may be associated with a homoclinic explosion at a slightly subcritical value of the Rayleigh number.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 428327, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450071

Digital Object Identifier
doi:10.1155/2013/428327

Mathematical Reviews number (MathSciNet)
MR3035220

Zentralblatt MATH identifier
1277.34051

Citation

Idris, R.; Siri, Z.; Hashim, I. On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 428327, 10 pages. doi:10.1155/2013/428327. https://projecteuclid.org/euclid.aaa/1393450071


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