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The Logistic Map and the Route to Chaos

From The Beginnings to Modern Applications

  • Marcel Ausloos
  • Michel Dirickx

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages I-XX
  2. General and Historical Introduction

    1. Front Matter
      Pages 1-1
    2. Jos Kint, Denis Constales, André Vanderbauwhede
      Pages 13-28
    3. Pedro G. Lind, Jason A.C. Gallas, Hans J. Herrmann
      Pages 77-97
    4. K. Austin, G. J. Rodgers
      Pages 99-113
  3. Life Relevant Physics

    1. Front Matter
      Pages 115-115
    2. Emilio Hernández-García, Cristóbal López
      Pages 117-129
    3. J. Mann, S. Ott, H. L. Pécseli, J. Trulsen
      Pages 131-146
    4. Mark Ya. Azbel’
      Pages 161-173
    5. Renat M. Yulmetyev, Sergey A. Demin, Peter Hänggi
      Pages 175-196
    6. Suzana Moss de Oliveira, Dietrich Stauffer
      Pages 197-219
  4. Econophysics

    1. Front Matter
      Pages 221-221
    2. Przemysław Repetowicz, Peter Richmond, Stefan Hutzler, Eimear Ni Dhuinn
      Pages 259-272
  5. Condensed Matter

    1. Front Matter
      Pages 273-273
    2. Lucas Máximo Alves, Rui F.M. Lobo
      Pages 295-316
    3. Rinke J. Wijngaarden, Kinga A. Lőrincz, Christof M. Aegerter
      Pages 317-335
  6. Miscellaneous

    1. Front Matter
      Pages 337-337
    2. H. Kröger, J.-F. Laprise, G. Melkonyan, R. Zomorrodi
      Pages 355-367
    3. Houman Safaai, Mohammad Hasan, Ghaffari Saadat
      Pages 369-383
  7. Back Matter
    Pages 407-413

About this book

Introduction

Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.

Keywords

Springer complexity Verhulst complex system complex systems logistic map nonlinear dynamics population dynamics quantum chaos

Editors and affiliations

  • Marcel Ausloos
    • 1
  • Michel Dirickx
    • 2
  1. 1.Institut de PhysiqueUniversité de LiègeLiègeBelgium
  2. 2.Royal Military Academy/ELECBrusselsBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-32023-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-28366-9
  • Online ISBN 978-3-540-32023-4
  • Series Print ISSN 1860-0840
  • Buy this book on publisher's site
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