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

R. Idris, Z. Siri and I. Hashim

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:428327

DOI: 10.1155/2013/428327

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