Glendinning, Paul (2008) Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity. [MIMS Preprint]
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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 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 39 Difference and functional equations |
| Depositing User: | Professor Paul Glendinning |
| Date Deposited: | 24 Oct 2008 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1160 |
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- Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity. (deposited 24 Oct 2008) [Currently Displayed]
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