論文 - 田中 剛平
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Bifurcation structures of period-adding phenomena in an ocean internal wave model 査読あり
Gouhei Tanaka, Sunao Murashige, Kazuyuki Aihara
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 ( 11 ) 3409 - 3424 2003年
担当区分：筆頭著者 記述言語：英語 掲載種別：研究論文（学術雑誌） 出版者・発行元：World Scientific Publishing Co. Pte Ltd
In this paper, we study bifurcation structures of period-adding phenomena in an internal wave model that is a mathematical model for ocean internal waves. It has been suggested that chaotic solutions observed in the internal wave model may be related to the universal property of the energy spectra of ocean internal waves. In numerical bifurcation analyses of the internal wave model, we illustrate bifurcation routes to chaos and parameter regions where chaotic behavior is observed. Furthermore, it is found that the chaotic solutions are related to the period-adding sequence, that is, successive generations of periodic solutions with longer periods as a control parameter is changed. Considering the period-adding sequence as successive local bifurcations, we discuss a mechanism of the phenomena from the viewpoint of bifurcation analysis. We also consider similarity between period-adding phenomena in the internal wave model and ones in the Lorenz model.
