Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity

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:	06 Nov 2008
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1162

Available Versions of this Item

• Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity. (deposited 24 Oct 2008)
  • Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity. (deposited 06 Nov 2008) [Currently Displayed]

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