On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer. (7th March 2013)

• Record Type: Journal Article
• Authors: Idris, R.; Siri, Z.; Hashim, I.
• Other Names: Wong Patricia J. Y. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-03-07
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/428327
• Languages: English
• ISSNs: 1085-3375

Abstract

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.