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


SUBJECT

  1. Mathematics
  2. Applied mathematics
  3. Engineering mathematics
  4. Economic theory
  5. Regional economics
  6. Spatial economics
  7. Mathematics
  8. Applications of Mathematics
  9. Regional/Spatial Science
  10. Economic Theory/Quantitative Economics/Mathematical Methods