2024-02-25T16:27:42Z
https://fit.repo.nii.ac.jp/oai
oai:fit.repo.nii.ac.jp:00000428
2023-05-15T12:57:51Z
256:257:260
キュウメンジョウ ノ ホソク シャゾウ ノ タイショウセイ ト シュウキバイブンキ
球面上の保測写像の対称性と周期倍分岐
Symmetry and Period Doubling in Area－Preserving Map of the Sphere
川畑, 茂徳
1982
時田, 正彦
1983
area－preserving
periodic doubling
involution
symmetric map
area－preserving
periodic doubling
involution
symmetric map
application/pdf
論文(Article)
Previously, We have studied some dynamics that lead to the reversible area－preserving map of a sphere onto itself. In this paper the problem of the period doubling in symmetric, area－preserving map is investigated. Our interest is mainly in generalized symmetry properties of the map. We will rebuild dynamical systems theory from the ground up in the symmetry context, so it is hoped that if there are new phenomena that occur in the dynamics of the symmetric map,such phenomena will be visible. Nature of the symmetry can be stated succinctly as: the map is the product of two involutions. Note also that the map is Ｚ₂－equivariant, where Ｚ₂ is the cyclic group of order 2 with action(x,y,z)→(x,-y,-z).
departmental bulletin paper
福岡工業大学
2008-02-29
VoR
application/pdf
福岡工業大学研究論集
2
40
255
262
02876620
AN10036974
https://fit.repo.nii.ac.jp/record/428/files/11478-945_p255時田 正彦.pdf
jpn