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Real and Complex Dynamical Systems

  • Book
  • © 1995

Overview

Editors:
  1. Bodil Branner

    1. Mathematical Institute, The Technical University of Denmark, Lyngby, Denmark

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  2. Poul Hjorth

    1. Mathematical Institute, The Technical University of Denmark, Lyngby, Denmark

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 464)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Dynamical Zeta Functions

    • Viviane Baladi
    Pages 1-26

  3. The Global Dynamics of Impact Oscillators

    • Chris Budd
    Pages 27-46

  4. Grazing in Impact Oscillators

    • Chris Budd
    Pages 47-63

  5. Topological Entropy of Unimodal Maps

    • Adrien Douady
    Pages 65-87

  6. Hénon Mappings in the Complex Domain

    • John H. Hubbard, Ralph W. Oberste-Vorth
    Pages 89-132

  7. Symbolic Dynamics, Group Automorphisms and Markov Partitions

    • Bruce Kitchens
    Pages 133-163

  8. A Monotonicity Conjecture for Real Cubic Maps

    • Silvina P. Dawson, Roza Galeeva, John Milnor, Charles Tresser
    Pages 165-183

  9. Dynamics of Ordinary Differential Equations

    • Colin Sparrow
    Pages 185-210

  10. Real Bounds in Complex Dynamics

    • Sebastian van Strien
    Pages 211-229

  11. Homoclinic Bifurcations and Strange Attractors

    • Marcelo Viana
    Pages 231-264

  12. Introduction to Hyperbolic Dynamics

    • Jean-Christophe Yoccoz
    Pages 265-291

  13. Ergodic Theory of Differentiable Dynamical Systems

    • Lai-Sang Young
    Pages 293-336

  14. Back Matter

    Pages 337-344
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Keywords

About this book

This volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th - July 2nd, 1993. The vision of the institute was to illustrate the interplay between two important fields of Mathematics: Real Dynamical Systems and Complex Dynamical Systems. The interaction between these two fields has been growing over the years. Problems in Real Dynamical Systems have recently been solved using complex tools in the real or by extension to the complex. In return, problems in Complex Dynamical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians.

Editors and Affiliations

  • Mathematical Institute, The Technical University of Denmark, Lyngby, Denmark

    Bodil Branner, Poul Hjorth

Bibliographic Information

  • Book Title: Real and Complex Dynamical Systems

  • Editors: Bodil Branner, Poul Hjorth

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-015-8439-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1995

  • Hardcover ISBN: 978-0-7923-3521-4Published: 31 May 1995

  • Softcover ISBN: 978-90-481-4565-2Published: 06 December 2010

  • eBook ISBN: 978-94-015-8439-5Published: 14 March 2013

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XVIII, 348

  • Topics: Global Analysis and Analysis on Manifolds, Analysis, Number Theory

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