Bifurcations and catastrophes

Bifurcations and catastrophes: geometry of solutions to nonlinear problems

by Demazure, Michel

Type Book
Rate 0.0 /5

"Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more ad…

Read More ↓
Details
Files
Reviews
Download

Title Statements

  • Full title :Bifurcations and catastrophes : geometry of solutions to nonlinear problems / Michel Demazure ; translated from the French by David Chillingworth.

Summary

"Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments."--Jacket.

Read More ↓

Edition Statements

  • Publication Date:2000.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:2000.

Notes

Originally published: Géométrie-catastrophes et bifurcations, 1989.

The Physical Object

  • Description:viii, 301 pages : : illustrations ; : 24 cm.

Edition Identifiers

  • ISBN:3540521186, 9783540521181
  • oclc:ocm42682714
  • LC Classification:QA380
  • Dewey Decimal:515/.35

Table of Contents

1. Local Inversion -- 2. Submanifolds -- 3. Transversality Theorems -- 4. Classification of Differentiable Functions -- 5. Catastrophe Theory -- 6. Vector Fields -- 7. Linear Vector Fields -- 8. Singular Points of Vector Fields -- 9. Closed Orbits -- Structural Stability -- 10. Bifurcations of Phase Portraits.

Read More ↓

Subjects

Bifurcatie Bifurcation theory Catastrofetheorie (wiskunde) Catastrophes (Mathematics) Catastrophes, Théorie des Differentiable manifolds Niet-lineaire systemen Théorie de la bifurcation Théorie des catastrophes Variétés différentiables

Writers

Demazure, Michel

More from this Series

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    ©2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    ©2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    ©2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    2002
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

  • Finite Möbius groups, minimal immersions of spheres, and moduli

    c2002.
    more →
    Finite Möbius groups, minimal immersions of spheres, and moduli

Rate & Review

0.0/5
(0 people Voted)

No reviews yet. Be the first to rate this work.

Files & Downloads

  • Bifurcations and Catastrophes -- (.djvu)

    DJVU · 7.9 MB · updated
    Login →

  • Bifurcations and catastrophes : geometry of solut…

    DJVU · 2.2 MB · updated
    Login →

  • Bifurcations and Catastrophes: Geometry of Soluti…

    PDF · 25.0 MB · updated
    Login →
Log in to request a copy