Canard cycles and center manifolds

by Dumortier, Freddy

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Canard cycles and center manifolds / Freddy Dumortier, Robert Roussarie.

Edition Statements

Publication Date:©1996

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©1996

Notes

"May 1996, volume 121, number 577 (first of 4 numbers)."

The Physical Object

Description:1 online resource (117 pages) : : illustrations

Edition Identifiers

ISBN:9781470401627, 1470401622
oclc:ocn891383680
LC Classification:QA379
Dewey Decimal:515/.352

3 Foliations by center manifolds3.1 Normal forms for X at the non-isolated singular points -- 3.2 Construction of center manifolds -- 3.2.1 Center manifolds of type I -- 3.2.2 Center manifolds of type II -- 3.2.3 Center manifolds of type III -- 3.2.4 Pictures of the center manifolds -- 3.3 Foliations by center manifolds -- 3.3.1 Foliation of type I -- 3.3.2 Foliation of type II -- 3.3.3 Foliations of type III -- 4 The canard phenomenon -- 4.1 The small limit periodic set -- 4.2 Relation between the Abelian integrals and the center manifolds

4.3 Explanation of the canard phenomenon by means of center manifolds4.3.1 Canard limit periodic sets of type I -- 4.3.2 Canard limit periodic sets of type III -- 4.3.3 Canard limit periodic sets of type II -- 4.3.4 Bringing the foliations together (as a final step) -- References -- Appendix: on the proof of theorem 18

Subjects

Bifurcation theory Boundary value problems -- Asymptotic t… Perturbation (Mathematics) Perturbation (Mathématiques) Problèmes aux limites -- Théorie asympt… Théorie de la bifurcation