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• W2073764159 startingPage "2443" @default.
• W2073764159 abstract "The phase-lockings of quasi-periodic solutions for a dissipative fifth-order system of magnetoconvection are numerically observed when a certain parameter is varies. It is shown that a phase-locking series of torus creates a devil's staircase as the magnetic Prandtl number is varied. It is also numerically demonstrated that there exists a kind of invariant phase-locked torus and its rational winding number is 5/7. Such a phase-locking series of torus is significantly different from the Fibonacci's sequence related to the KAM-torus. A relation between hierarchies of winding numbers is leading to some scaling-laws." @default.
• W2073764159 created "2016-06-24" @default.
• W2073764159 creator A5015729034 @default.
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• W2073764159 date "2000-08-15" @default.
• W2073764159 modified "2023-10-16" @default.
• W2073764159 title "Devil's Staircase in a Dissipative Fifth-Order System" @default.
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• W2073764159 doi "https://doi.org/10.1143/jpsj.69.2443" @default.
• W2073764159 hasPublicationYear "2000" @default.
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