2008.91: Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity
2008.91: Paul Glendinning (2008) Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity.
This is the latest version of this eprint.
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 404 Kb |
Abstract
Monotonic maps with a single discontinuity arise in a variety of situations. We describe the infinite sets of periods for such maps on the boundary of chaos; this gives a sense of the routes to chaos in such maps. The description involves an explicit subshift of finite type which describes the sequences of different renormalizations possible in these maps.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | CICADA |
| Subjects: | MSC 2000 > 37 Dynamical systems and ergodic theory MSC 2000 > 39 Difference and functional equations |
| MIMS number: | 2008.91 |
| Deposited By: | Professor Paul Glendinning |
| Deposited On: | 06 November 2008 |
Available Versions of this Item
- Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity (deposited 06 November 2008) [Currently Displayed]
Download Statistics: last 4 weeks
Repository Staff Only: edit this item