Devil's Staircase in a Dissipative Fifth-Order System : General Physics

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概要

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• 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-1aws.

• 社団法人日本物理学会の論文
• 2000-08-15

著者

• Bekki Naoaki

  Institute For Fusion Studies The University Of Texas At Austin:college Of Engineering Nihon Universi

• Karakisawa Takao

  College Of Engineering Nihon University

関連論文

• Devil's Staircase in a Dissipative Fifth-Order System : General Physics
• Torus Knot in a Dissipative Fifth-Order System : General Physics

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