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TitleBifurcation Analysis [electronic resource] : Principles, Applications and Synthesis / edited by M. Hazewinkel, R. Jurkovich, J. H. P. Paelinck
ImprintDordrecht : Springer Netherlands, 1985
Connect tohttp://dx.doi.org/10.1007/978-94-009-6239-2
Descript VIII, 260 p. online resource

SUMMARY

Bifurcation theory has made a very fast upswing in the last fifteen years. Roughly speaking it generalises to dynamic systems the posยญ 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 bifurcationยญ 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


CONTENT

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 โ{128}{148} An Application to Urban Economics -- Nerves and Switches in Conflict Control Systems -- Bifurcation as a Model of Description โ{128}{148} 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


Mathematics Applied mathematics Engineering mathematics Economic theory Regional economics Spatial economics Mathematics Applications of Mathematics Regional/Spatial Science Economic Theory/Quantitative Economics/Mathematical Methods



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