On a five-dimensional chaotic system arising from double-diffusive convection in a fluid layer

R. Idris; Z. Siri; I. Hashim

doi:10.1155/2013/428327

On a five-dimensional chaotic system arising from double-diffusive convection in a fluid layer

R. Idris
, Z. Siri
, I. Hashim

Universiti Malaysia Terengganu
University of Malaya
Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	428327
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/428327
State	Published - 2013
Externally published	Yes

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title = "On a five-dimensional chaotic system arising from double-diffusive convection in a fluid layer",

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.",

author = "R. Idris and Z. Siri and I. Hashim",

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AU - Idris, R.

AU - Siri, Z.

AU - Hashim, I.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84875465711

U2 - 10.1155/2013/428327

DO - 10.1155/2013/428327

M3 - Article

AN - SCOPUS:84875465711

SN - 1085-3375

VL - 2013

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 428327

ER -

On a five-dimensional chaotic system arising from double-diffusive convection in a fluid layer

Abstract

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