Catastrophe Theory and Bifurcation (Routledge Revivals)
eBook - ePub

Catastrophe Theory and Bifurcation (Routledge Revivals)

Applications to Urban and Regional Systems

  1. 332 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Catastrophe Theory and Bifurcation (Routledge Revivals)

Applications to Urban and Regional Systems

About this book

Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters.

First published in 1981, this reissue of Professor Wilson's classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.

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Yes, you can access Catastrophe Theory and Bifurcation (Routledge Revivals) by Alan Wilson in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Taylor & Francis
Year
2012
eBook ISBN
9781136599811
Edition
1
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Preface
  6. Acknowledgements
  7. Contents
  8. List of Figures
  9. List of Tables
  10. Chapter 1. A Lay Guide to the Mathematics of Catastrophe Theory
  11. Chapter 2. Differential Equations and Bifurcation
  12. Chapter 3. Applications of Dynamical Systems Theory: A Survey of Approaches
  13. Chapter 4. Macro-Scale Applications
  14. Chapter 5. Bifurcation at the Meso-Scale I: Comparative Statics of Urban Spatial Structure
  15. Chapter 6. Bifurcation at the Meso-Scale II: The Dynamics of Urban Spatial Structure
  16. Chapter 7. Micro-Scale Applications
  17. Chapter 8. Applications in Other Disciplines and Some New Results for Urban Systems
  18. Chapter 9. Concluding Comments
  19. Appendix 1. Mathematical Programming Formulations of the Main Models
  20. Appendix 2. Some Alternative Lagrangian Formulations
  21. Appendix 3. The Derivatives of Sij
  22. Appendix 4. The Shopping Trip Flow Derivatives for the Disaggregated Model
  23. References and Bibliography
  24. Index