Overview

Editors:

M. Hazewinkel (Steering Committee on Interdisciplinary Studies)⁰,
R. Jurkovich (Steering Committee on Interdisciplinary Studies)¹,
J. H. P. Paelinck (Steering Committee on Interdisciplinary Studies)²

M. Hazewinkel
1. Erasmus University Rotterdam, The Netherlands
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R. Jurkovich
1. Erasmus University Rotterdam, The Netherlands
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J. H. P. Paelinck
1. Erasmus University Rotterdam, The Netherlands
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Table of contents (12 chapters)

Front Matter

Pages i-vii

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Principles
1. Front Matter
  
  Pages 1-1
  
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2. Self-Organisation in Nonequilibrium Systems: Towards A Dynamics of Complexity
  
  I. Prigogine, G. Nicolis
  
  Pages 3-12
3. Bifurcation Phenomena. A Short Introductory Tutorial with Examples
  
  Michiel Hazewinkel
  
  Pages 13-30
4. Bifurcation and Choice Behaviour in Complex Systems
  
  André de Palma
  
  Pages 31-48
Applications
1. Front Matter
  
  Pages 49-49
  
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2. Some Remarks on the Nature of Structure and Metabolism in Living Matter
  
  B. Leijnse
  
  Pages 51-66
3. The Analysis of Bifurcation Phenomena Associated with the Evolution of Urban Spatial Structure
  
  M. Clarke, A. G. Wilson
  
  Pages 67-99
4. Bifurcation Sets — An Application to Urban Economics
  
  M. Prévot
  
  Pages 101-114
5. Nerves and Switches in Conflict Control Systems
  
  Doede Nauta Jr.
  
  Pages 115-140
6. Bifurcation as a Model of Description — A Means of Making the Historiography of Philosophy More Historical?
  
  Frank Vleeskens
  
  Pages 141-147
7. Space and Order Looked at Critically. Non-Comparability and Procedural Substantivism in History and the Social Sciences
  
  Frank Perlin
  
  Pages 149-197
Synthesis
1. Front Matter
  
  Pages 199-199
  
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2. Symmetry, Bifurcations and Pattern Formation
  
  Michiel Hazewinkel
  
  Pages 201-232
3. Synergetic and Resonance Aspects of Interdisciplinary Research
  
  Jean H. P. Paelinck, Thijs ten Raa
  
  Pages 233-239
4. Bifurcation: Implications of the Concept for the Study of Organisations
  
  Ray Jurkovich
  
  Pages 241-253
Back Matter

Pages 255-259

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Keywords

About this book

Bifurcation theory has made a very fast upswing in the last fifteen years. Roughly speaking it generalises to dynamic systems the pos sibility of mUltiple solutions, a possibility already recognised in static systems - physical, chemical, social - when operating far from their equilibrium states. It so happened that quite a few staff members of the Erasmus University Rotterdam were thinking along those lines about certain aspects of their disciplines. To have a number of specialists and potential "fans" convene to discuss various aspects of bifurcation al thinking, seemed a natural development. The resulting papers were judged to be of interest to a larger public, and as such are logically regrouped in this volume, one in a series of studies resulting from the activities of the Steering Committee on Interdisciplinary Studies of the Erasmus University, Rotterdam. Although the volume is perhaps multidisciplinary rather than interdisciplinary - the interdisciplinary aspect being only "latent" -, as a "soft" interdisciplinary exercise (the application of formal structures of one discipline to another) it has a right to interdisciplinary existence! This book could not have been published without a generous grant of the University Foundation of the Erasmus University Rotterdam, which allowed the conference to be held and the resulting papers to be published; that generosity is gratefully acknowledged.

Editors and Affiliations

Erasmus University Rotterdam, The Netherlands

M. Hazewinkel, R. Jurkovich, J. H. P. Paelinck

Bibliographic Information

Book Title: Bifurcation Analysis
Book Subtitle: Principles, Applications and Synthesis
Editors: M. Hazewinkel, R. Jurkovich, J. H. P. Paelinck
DOI: https://doi.org/10.1007/978-94-009-6239-2
Publisher: Springer Dordrecht
eBook Packages: Springer Book Archive
Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1985
Hardcover ISBN: 978-90-277-1446-6Published: 31 December 1984
Softcover ISBN: 978-94-009-6241-5Published: 12 October 2011
eBook ISBN: 978-94-009-6239-2Published: 06 December 2012
Edition Number: 1
Number of Pages: VIII, 260
Topics: Applications of Mathematics, Regional/Spatial Science, Economic Theory/Quantitative Economics/Mathematical Methods

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Bifurcation Analysis

Overview

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Table of contents (12 chapters)

Front Matter

Principles

Front Matter

Applications

Front Matter

Synthesis

Front Matter

Back Matter

Keywords

About this book

Editors and Affiliations

Erasmus University Rotterdam, The Netherlands

Bibliographic Information

Publish with us

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