The accumulation of boundary doubling for modified tent maps

Glendinning, Paul (2003) The accumulation of boundary doubling for modified tent maps. In: Bifurcation, Symmetry and Patterns. Birkhäuser, Basel Boston Berlin, pp. 151-156. ISBN 3 7643 7020 3

[thumbnail of nbound.pdf] PDF
nbound.pdf

Download (125kB)

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 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
Depositing User: Professor Paul Glendinning
Date Deposited: 18 May 2006
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/266

Actions (login required)

View Item View Item