@article{oai:fit.repo.nii.ac.jp:00000428,
 author = {川畑, 茂徳 and 時田, 正彦},
 issue = {2},
 journal = {福岡工業大学研究論集},
 month = {Feb},
 note = {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).},
 pages = {255--262},
 title = {球面上の保測写像の対称性と周期倍分岐},
 volume = {40},
 year = {2008}
}