Book 1992

Catastrophe Theory

Authors:

ISBN: 978-3-540-54811-9 (Print) 978-3-642-58124-3 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages I-XIII

  2. No Access

    Chapter

    Pages 1-2

    Singularities, Bifurcations, and Catastrophes

  3. No Access

    Chapter

    Pages 3-6

    Whitney’s Singularity Theory

  4. No Access

    Chapter

    Pages 7-9

    Applications of Whitney’s Theory

  5. No Access

    Chapter

    Pages 10-13

    A Catastrophe Machine

  6. No Access

    Chapter

    Pages 14-19

    Bifurcations of Equilibrium States

  7. No Access

    Chapter

    Pages 20-30

    Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour

  8. No Access

    Chapter

    Pages 31-32

    Singularities of the Stability Boundary and the Principle of the Fragility of Good Things

  9. No Access

    Chapter

    Pages 33-44

    Caustics, Wave Fronts, and Their Metamorphoses

  10. No Access

    Chapter

    Pages 45-48

    The Large-Scale Distribution of Matter in the Universe

  11. No Access

    Chapter

    Pages 49-52

    Singularities in Optimization Problems: the Maximum Function

  12. No Access

    Chapter

    Pages 53-66

    Singularities of the Boundary of Attainability

  13. No Access

    Chapter

    Pages 67-74

    Smooth Surfaces and Their Projections

  14. No Access

    Chapter

    Pages 75-78

    The Problem of Bypassing an Obstacle

  15. No Access

    Chapter

    Pages 79-88

    Symplectic and Contact Geometry

  16. No Access

    Chapter

    Pages 89-101

    Complex Singularities

  17. No Access

    Chapter

    Pages 102-107

    The Mysticism of Catastrophe Theory

  18. Back Matter

    Pages 108-150