2024-03-29T07:45:00Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:00004033
2022-12-19T03:45:45Z
312:391
9:233:280
C1通有的に野性的なホモクリニック類の指数問題について
On the index problem for C1-generic wild homoclinic classes
SHINOHARA, Katsutoshi
9310
410
University of Tokyo (東京大学)
博士(数理科学)
We study the dynamics of homoclinic classes on three dimensionalmanifolds under the robust absence of dominated splittings. We prove that, C1-generically, if such a homoclinic class contains a volume-expanding periodic point, then it contains a hyperbolic periodic point whose index(dimension of the unstable manifold) is equal to two. We also furnish anexample which shows that a similar result is not always true in higherdimensions.
thesis
2010-03-24
2010-03-24
application/pdf
application/pdf
甲第26110号
https://repository.dl.itc.u-tokyo.ac.jp/record/4033/files/ShinoharaK_22_3_PhD_a.pdf
https://repository.dl.itc.u-tokyo.ac.jp/record/4033/files/ShinoharaK_22_3_PhD_b.pdf
eng