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Canard Cycles: From Birth to Transition by Peter De Maesschalck (English) Hardco
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eBay item number:364701005344
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-13
- 9783030792329
- Book Title
- Canard Cycles
- ISBN
- 9783030792329
- Subject Area
- Science, Mathematics
- Publication Name
- Canard Cycles : from Birth to Transition
- Item Length
- 9.3 in
- Publisher
- Springer International Publishing A&G
- Subject
- Differential Equations / General, System Theory, Mathematical Analysis
- Series
- Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
- Publication Year
- 2021
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 28.6 Oz
- Number of Pages
- Xxi, 408 Pages
About this product
Product Information
This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow-fast families of two-dimensional vector fields. The central question of controlling the limit cycles is addressed in detail and strong results are presented with complete proofs. In particular, the book provides a detailed study of the structure of the transitions near the critical set of non-isolated singularities. This leads to precise results on the limit cycles and their bifurcations, including the so-called canard phenomenon and canard explosion. The book also provides a solid basis for the use of asymptotic techniques. It gives a clear understanding of notions like inner and outer solutions, describing their relation and precise structure. The first part of the book provides a thorough introduction to slow-fast systems, suitable for graduate students. The second and third parts will be of interest to both pure mathematicians working on theoretical questions such as Hilbert's 16th problem, as well as to a wide range of applied mathematicians looking for a detailed understanding of two-scale models found in electrical circuits, population dynamics, ecological models, cellular (FitzHugh-Nagumo) models, epidemiological models, chemical reactions, mechanical oscillators with friction, climate models, and many other models with tipping points.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3030792323
ISBN-13
9783030792329
eBay Product ID (ePID)
20050409724
Product Key Features
Publication Name
Canard Cycles : from Birth to Transition
Format
Hardcover
Language
English
Subject
Differential Equations / General, System Theory, Mathematical Analysis
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Publication Year
2021
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
Xxi, 408 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
28.6 Oz
Additional Product Features
Series Volume Number
73
Number of Volumes
1 Vol.
Lc Classification Number
Qa843-871
Table of Content
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.
Copyright Date
2021
Dewey Decimal
515.392
Dewey Edition
23
Illustrated
Yes
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eBay item number:364701005344
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