Canard Cycles: From Birth to Transition

by Peter De Maesschalck

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.

• Format: Paperback
• Language: English
• ISBN: 3030792358
• ISBN13: 9783030792350
• Release Date: August 2022
• Publisher: Springer
• Length: 408 Pages
• Weight: 1.33 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"