Canard Cycles : From Birth to Transition

Name: Canard Cycles
Brand: Springer Nature Switzerland AG
SKU: 9783030792350
Price: 19800 KES
Availability: OutOfStock
ISBN: 9783030792350

2021 ed.

by Freddy Dumortier , Peter De Maesschalck , Robert Roussarie

Book Details

Format Paperback / softback

Book Series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

ISBN-10 3030792358

ISBN-13 9783030792350

Edition 2021 ed.

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Aug 9th, 2022

Print length 408 Pages

Product Classification: Cybernetics & systems theory Cybernetics and systems theory Differential calculus & equations Differential calculus and equations Maths for engineers

KSh 19,800.00

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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.

Get Canard Cycles by Freddy Dumortier, Peter De Maesschalck at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Nature Switzerland AG and it has 408 pages.