On nonlinear stability of the regular vortex systems on a sphere

Chaos

Volumn 14, Issue 3, 2004, Pages 592-602

  Kurakin, L G ^a  

^a SOUTHERN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

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EID: 7244251579     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1764432     Document Type: Article

References (48)

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30. *n. In Appendix D we sequentially consider all five Plato's polyhedra in the increasing order of the number of vertices: tetrahedron, octahedron, cube, icosahedron, and dodecahedron. We construct respective matrices of linearization, as well as their characteristic polynomials from Table II, that justify Theorem 4.1 about stability regular vortex polyhedra. A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.
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