摂動を受けるレイリー・ベナール対流におけるカオス的混合と分岐現象

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  • Chaotic Mixing and Bifurcation Phenomena of a Perturbed Rayleigh Benard Convection

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<p>In order to predict a spread of contaminants in the atmospheric environment, it is crucial to investigate the mechanism of Lagrangian transport of such contaminants under fluid convection. However, the Lagrangian transport of such a fluid particle becomes chaotic and hence its global structure has not been enough clarified. In this context, we study a two-dimensional Rayleigh-Benard convection with periodic perturbations to investigate the global structure of periodic orbits and their bifurcations when the amplitude of the perturbation is varied. We show that elliptic periodic points appear at the center of quasi-periodic regions, while hyperbolic periodic points appear in the chaotic regions. We also show the bifurcation diagram of such periodic orbits by varying the amplitude of the perturbation to clarify the global structure of the perturbed two-dimensional Rayleigh-Benard convection. </p>

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