Effects of a magnetic field on chaos for low Prandtl number convection in porous media

R. Idris; I. Hashim

doi:10.1007/s11071-010-9773-8

Effects of a magnetic field on chaos for low Prandtl number convection in porous media

R. Idris
, I. Hashim

Nonlinear Dynamic Research Centre (NDRC)

Universiti Malaysia Terengganu

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

24 Scopus citations

Abstract

The effects of a magnetic field on the route to chaos in a fluid-saturated porous layer were investigated based on the approach of dynamical systems. A low dimensional Lorenz-like model was obtained using Galerkin truncated approximation. The presence of a magnetic field helped delay the convective motion. 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
Pages (from-to)	905-917
Number of pages	13
Journal	Nonlinear Dynamics
Volume	62
Issue number	4
DOIs	https://doi.org/10.1007/s11071-010-9773-8
State	Published - Dec 2010

Keywords

Chaos
Magnetic field
Weak turbulence

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10.1007/s11071-010-9773-8

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title = "Effects of a magnetic field on chaos for low Prandtl number convection in porous media",

abstract = "The effects of a magnetic field on the route to chaos in a fluid-saturated porous layer were investigated based on the approach of dynamical systems. A low dimensional Lorenz-like model was obtained using Galerkin truncated approximation. The presence of a magnetic field helped delay the convective motion. 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.",

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AU - Hashim, I.

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N2 - The effects of a magnetic field on the route to chaos in a fluid-saturated porous layer were investigated based on the approach of dynamical systems. A low dimensional Lorenz-like model was obtained using Galerkin truncated approximation. The presence of a magnetic field helped delay the convective motion. 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 - The effects of a magnetic field on the route to chaos in a fluid-saturated porous layer were investigated based on the approach of dynamical systems. A low dimensional Lorenz-like model was obtained using Galerkin truncated approximation. The presence of a magnetic field helped delay the convective motion. 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.

KW - Chaos

KW - Magnetic field

KW - Weak turbulence

UR - https://www.scopus.com/pages/publications/78049465548

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DO - 10.1007/s11071-010-9773-8

M3 - Article

AN - SCOPUS:78049465548

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SP - 905

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JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

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Effects of a magnetic field on chaos for low Prandtl number convection in porous media

Abstract

Keywords

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