Bifurcation Analysis: Principles, Applications and Synthesis

ISBN-13: 9789400962415 / Angielski / Miękka / 2011 / 260 str.

Michiel Hazewinkel; R. Jurkovich; J. H. P. Pealinck

Opis

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."

Spis treści

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.