1.

Record Nr.

UNINA9910480683703321

Autore

Dumortier Freddy

Titolo

Canard cycles and center manifolds / / Freddy Dumortier, Robert Roussarie

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1996

©1996

ISBN

1-4704-0162-2

Descrizione fisica

1 online resource (117 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 121, Number 577

Disciplina

515/.352

Soggetti

Boundary value problems - Asymptotic theory

Perturbation (Mathematics)

Bifurcation theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""3 Foliations by center manifolds""""3.1 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 manifolds""""4.3.1 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""