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Bifurcation Analysis : Principles, Applications and Synthesis - Michiel Hazewinkel

Bifurcation Analysis

Principles, Applications and Synthesis

By: Michiel Hazewinkel (Editor), R. Jurkovich (Editor), J.H.P Pealinck (Editor)

Hardcover

Published: 31st December 1984
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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.

A. Principles.- Self-Organisation in Non-Equilibrium Systems: Towards a Dynamics of Complexity.- Bifurcation Phenomena. A Short Introductory Tutorial with Examples.- Bifurcation and Choice Behaviour in Complex Systems.- B. Applications.- Some Remarks on the Nature of Structure and Metabolism in Living Matter.- The Analysis of Bifurcation Phenomena Associated with the Evolution of Urban Spatial Structure.- Bifurcation Sets - An Application to Urban Economics.- Nerves and Switches in Conflict Control Systems.- Bifurcation as a Model of Description - A Means of Making the Historiography of Philosophy More Historical?.- Space and Order Looked at Critically. Non-Comparability and Procedural Substantivism in History and the Social Sciences.- C. Synthesis.- Symmetry, Bifurcation and Pattern Formation.- Synergetic and Resonance Aspects of Interdisciplinary Research.- Bifurcation: Implications of the Concept for the Study of Organisations.

ISBN: 9789027714466
ISBN-10: 9027714460
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 260
Published: 31st December 1984
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.13 x 16.51  x 2.54
Weight (kg): 0.64