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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.

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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 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

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