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Canard Cycles: From Birth to Transition by Peter De Maesschalck (English) Hardco
US $155.57
ApproximatelyAU $226.51
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eBay item number:364701005344
Item specifics
- Condition
- ISBN-13
- 9783030792329
- Book Title
- Canard Cycles
- ISBN
- 9783030792329
- Subject Area
- Mathematics, Science
- Publication Name
- Canard Cycles : from Birth to Transition
- Publisher
- Springer International Publishing A&G
- Item Length
- 9.3 in
- Subject
- Differential Equations / General, System Theory, Mathematical Analysis
- Publication Year
- 2021
- Series
- Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Weight
- 28.6 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xxi, 408 Pages
About this product
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3030792323
ISBN-13
9783030792329
eBay Product ID (ePID)
20050409724
Product Key Features
Number of Pages
Xxi, 408 Pages
Language
English
Publication Name
Canard Cycles : from Birth to Transition
Subject
Differential Equations / General, System Theory, Mathematical Analysis
Publication Year
2021
Type
Textbook
Subject Area
Mathematics, Science
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
28.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Dewey Edition
23
Series Volume Number
73
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.392
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.
Synopsis
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.
LC Classification Number
QA843-871
Item description from the seller
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- l***a (3591)- Feedback left by buyer.Past 6 monthsVerified purchaseExcellent seller. Great customer service and communication, timely shipping, fair prices, safe packing, as described. Thank you. A+++
- t***n (2908)- Feedback left by buyer.Past monthVerified purchaseI don't give negatives; However, description was not correct; No price guide was included in this book.As you will see in book pic shown; title states price guide included, no price guide inside. Communication poor, description, no communication price guide missing from this book. Shipping time was weeks before it was even shipped. Blamed the shipping on warehouse. You own & operate a business; your warehouse is not up to standards you change who you do business with. It's your responsibility.
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