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

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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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, Universiti Malaysia Terengganu, 21030, Kuala Terengganu, Terengganu, Malaysia

    R. Idris

  2. Centre for Modelling and Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, Bangi Selangor, Malaysia

    I. Hashim

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  1. R. Idris
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  2. I. Hashim
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Correspondence to I. Hashim.

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Idris, R., Hashim, I. Effects of a magnetic field on chaos for low Prandtl number convection in porous media. Nonlinear Dyn 62, 905–917 (2010). https://doi.org/10.1007/s11071-010-9773-8

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  • DOI: https://doi.org/10.1007/s11071-010-9773-8

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