Torus Knot in a Dissipative Fifth-Order System : General Physics

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概要

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• In order to show that some periodic orbits of a fifth-order system of magnetoconvetion are embedded in a three-dimensional subspace, main projections onto a three-dimensional subspace from the five-dimensional space are numerically investigated. It is found that the periodic orbits are topologically equivalent to a (p, q)-torus knot, where its curve closes after rotating q times in the meridional direction and p times in the longitudinal direction. In terms of a braid word for the torus knot, a (2, 7)-torus knot is finally obtained in the fifth-order system through the complicated bifurcations under parameter variation. This suggests that topological invariants embedded in a three-manifold can be extracted from realistic dissipative higher dimensional dynamical systems.

• 社団法人日本物理学会の論文
• 2000-02-15

著者

• Bekki Naoaki

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

• BEKKI Naoki

  Institute for Fusion Studies,The University of Texas at Austin:(Present)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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