磁場対流における周期倍分岐

概要

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Numerical solutions of nonlinear two-dimensional magnetoconvection in a Boussinesq fluid, a Rayleigh-Benard convection in a vertical magnetic field described by a system of nonlinear partial defferential equations (PDEs) in a square cell, were studied by using the pseudo-spectral method. Observed Period-3 oscillation suggested the existence of chaos in the PDEs for 2D Boussinesq magnetoconvection in a square cell, and a period-doubling/an inverse period-doubling cascade around there, even if it was not explicitly shown. We also observed development through such a symmetry-breaking /period-doubling sequence as in Rucklidge's suggestion (1994).
岐阜工業高等専門学校の論文
2007-03-01