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Author:   Luis Alseda (Univ Autonoma De Barcelona, Spain) ,  Jaume Llibre (Univ Autonoma De Barcelona, Spain) ,  Michal Misiurewicz (Indiana Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Edition:   e
Volume:   5
Dimensions:   Width: 16.00cm , Height: 2.90cm , Length: 22.50cm
Weight:   0.481kg
ISBN:  

9789810240530

ISBN 10:   9810240538
Pages:   432
Publication Date:   01 November 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

Preliminaries: general notation; graphs, loops and cycles. Interval maps: the Sharkovskii Theorem; maps with the prescribed set of periods; forcing relation; patterns for interval maps; antisymmetry of the forcing relation; P-monotone maps and oriented patterns; consequences of Theorem 2.6.13; stability of patterns and periods; primary patterns; extensions; characterization of primary oriented patterns; more about primary oriented patterns. Circle maps: liftings and degree of circle maps; lifted cycles; cycles and lifted cycles; periods for maps of degree different from -1, 0 and 1; periods for maps of degree 0; periods for maps of degree -1; rotation numbers and twist lifted cycles; estimate of a rotation interval; periods for maps of degree 1; maps of degree 1 with the prescribed set of periods; other results. Appendix: lifted patterns. Entropy: definitions; entropy for interval maps; horseshoes; entropy of cycles; continuity properties of the entropy; semiconjugacy to a map of a constant slope; entropy for circle maps; proof of Theorem 4.7.3.

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