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2006.100: The accumulation of boundary doubling for modified tent maps

2006.100: Paul Glendinning (2003) The accumulation of boundary doubling for modified tent maps. In: J Buescu, S. Castro, A.P. Dias and I. Labouriau, (eds). Bifurcation, Symmetry and Patterns. Birkhäuser, Basel Boston Berlin, pp. 151-156. ISBN 3 7643 7020 3

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Abstract

We describe the transition to chaos via boundary doubling for a particularly simple class of map. In this two parameter family of maps the accumulation of boundary doubling occurs on a curve in parameter space. We characterize this curve and use relate the form of this curve to a novel set of difference equations with proportional delay.

Item Type:Book Section
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2006.100
Deposited By:Professor Paul Glendinning
Deposited On:18 May 2006

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