Canard cycles : from birth to transition /

Maesschalck, Peter de,

Canard cycles : from birth to transition / Peter De Maesschalck ; Freddy Dumortier ; Robert Roussarie. - xxi, 408 pages : illustrations (some color) ; 25 cm - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / Series of modern surveys in mathematics, volume 73 0071-1136 ; . - Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 73. .

Includes bibliographical references (pages 401-405) and index.

Part I. Basic Notions. 1 Basic Definitions and Notions -- 2 Local Invariants and Normal Forms -- 3 The Slow Vector Field -- 4 Slow-Fast Cycles -- 5 The Slow Divergence Integral -- 6 Breaking Mechanisms -- 7 Overview of Known Results -- Part II. Technical Tools. 8 Blow-Up of Contact Points -- 9 Center Manifolds -- 10 Normal Forms -- 11 Smooth Functions on Admissible Monomials and More -- 12 Local Transition Maps -- Part III. Results and Open Problems. 13 Ordinary Canard Cycles -- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point -- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point -- 16 Outlook and Open Problems -- Index -- References.


Current copyright fee: GBP19.00 42\0.

3030792323 9783030792329

doi

020314503 Uk


Singular perturbations (Mathematics)
Vector fields.
Bifurcation theory.
Champs vectoriels.

515.352 / M186c
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