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Canard cycles : from birth to transition / Peter De Maesschalck ; Freddy Dumortier ; Robert Roussarie.

By: Contributor(s): Material type: TextTextSeries: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 73.Publisher: Cham, Switzerland : Springer, [2021]Copyright date: ©2021Description: xxi, 408 pages : illustrations (some color) ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 3030792323
  • 9783030792329
Subject(s): DDC classification:
  • 515.352 M186c
Online resources:
Contents:
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.
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Holdings
Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books Castorina Estantes Abertas (Open Shelves) Livros (Books) 515.352 M186c 2021 IMPA (Browse shelf(Opens below)) 1 Available 39063000808222

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.

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