Overview

These proceedings contain a collection of papers on Combinatorial Dynamics, from the lectures that took place during the international symposium, Thirty Years after Sharkovskiĭ's Theorem: New Perspectives, which was held at La Manga del Mar Menor, Murcia, Spain, from June 13 to June 18, 1994.Since Professor A N Sharkovskiĭ's landmark paper on the coexistence of periods for interval maps, several lines of research have been developed, opening applications of models to help understand a number of phenomena from a wide variety of fields, such as biology, economics, physics, etc. The meeting served to summarize the progress made since Professor Sharkovskiĭ's discovery, and to explore new directions.

Full Product Details

Author:   Luis Alseda (Univ Autonoma De Barcelona, Spain) ,  Jaume Llibre (Univ Autonoma De Barcelona, Spain) ,  Michal Misiurewicz (Indiana Univ, Usa) ,  Francisco Balibrea (Univ De Murcia, Spain)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   8
ISBN:  

9789810225049

ISBN 10:   9810225040
Pages:   188
Publication Date:   01 January 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Coexistence of cycles of a continuous map of the line into itself, A.N. Sharkovskii; thirty years after Sharkovskii's theorem, M. Misiurewics; dry turbulence and period-adding phenomena from a 1-D map with time delay, A.N. Sharkovskii et al; open problems session, M. Chas and S. Silberger; toward a theory of forcing on maps of trees, S. Baldwin; self-similarity maps for the set of unimodal cycles, C. Bernhardt; combinatorics of the kneading map, H. Briun; periods for maps of the figure-eight space, C. Gillot and J. Llibre; on the extension of Sharkovskii's theorem to connected graphs with non-positive Euler characteristic, J. Llibre et al; universal phenomena in some infinite-dimensional dynamics systems, A.N. Sharkovskii; on topological dynamics of sequences of continuous maps, S. Kolyada and L. Snoha; and other papers.

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