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Pentagonal domain exchange
秋山, 茂樹
Akiyama, Shigeki
Harriss, Edmund
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and continuous dynamical systems. Series A following peer review. The definitive publisher-authenticated version Pages: 4375 - 4400, Volume 33, Issue 10, October 2013 is available online at: http://dx.doi.org/10.3934/dcds.2013.33.4375.
Self-inducing structure of pentagonal piecewise isometry is applied to show detailed description of periodic and aperiodic orbits, and further dynamical properties. A Pisot number appears as a scaling constant and plays a crucial role in the proof. Further generalization is discussed in the last section.
American Institute of Mathematical Sciences
2013-10
eng
journal article
http://hdl.handle.net/2241/00122565
https://tsukuba.repo.nii.ac.jp/records/31786
10.3934/dcds.2013.33.4375
1078-0947
AA11026216
Discrete and continuous dynamical systems. Series A
33
10
4375
4400
https://tsukuba.repo.nii.ac.jp/record/31786/files/DCDS-A_33-10.pdf
application/pdf
552.1 kB
2014-12-08