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

R. Idris, Z. Siri, Ishak Hashim

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Article number428327
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Chaotic systems
Chaotic System
Convection
Fluid
Fluids
Hopf bifurcation
Homoclinic
Rayleigh number
Chaos theory
Galerkin
Explosion
Limit Cycle
Hopf Bifurcation
Explosions
Chaos
Dynamical systems
Dynamical system
Approximation
Model

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On a five-dimensional chaotic system arising from double-diffusive convection in a fluid layer. / Idris, R.; Siri, Z.; Hashim, Ishak.

In: Abstract and Applied Analysis, Vol. 2013, 428327, 2013.

Research output: Contribution to journalArticle

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