Canard Cycles: From Birth to Transition: 73 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 73) - Image 1

£83.48

Springer Canard Cycles: From Birth to Transition: 73 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 73)

Name: Canard Cycles: From Birth to Transition: 73 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 73)
Brand: Springer
Price: 30.69 GBP
Availability: InStock

Reference

Price History & Forecast

Last 83 days • 69 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 83 days • 5 price levels

Days at Price

Current Price

Price Analysis

Most common price: £31 (23 days, 33.3%)

Price range: £14 - £89

Price levels: 5 different prices over 69 days

Description

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 Specifications

Brand: Springer
Format: paperback
ASIN: 3030792358
Category: Books > Subjects > Reference
Domain: Amazon UK
Release Date: 09 August 2022
Listed Since: 13 July 2022

Barcode

No barcode data available

Springer Canard Cycles: From Birth to Transition: 73 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 73)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Normal Forms and Bifurcation of Planar Vector Fields

Applications of Differential-Algebraic Equations: Examples and Benchmarks

Ordinary Differential Equations: Basics and Beyond: 65 (Texts in Applied Mathematics, 65)

Differential Equations and Mathematical Biology (Chapman & Hall/CRC Mathematical Biology Series)

Differential Equations: A Dynamical Systems Approach to Theory and Practice: 212 (Graduate Studies in Mathematics)

Ten Mathematical Essays on Approximation in Analysis and Topology: Ten Mathematical Essays

Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors (Springer Monographs in Mathematics)

Nonlinear Analysis: Problems, Applications and Computational Methods: 168 (Lecture Notes in Networks and Systems, 168)

Constant-Sign Solutions of Systems of Integral Equations

Collected Papers (Springer Collected Works in Mathematics)

Handbook of Dynamical Systems: Volume 3

Nonlinear PDEs: A Dynamical Systems Approach (Graduate Studies in Mathematics)

Methods Of Qualitative Theory In Nonlinear Dynamics (Part I): 4 (World Scientific Series on Nonlinear Science Series A)

Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume (Trends in Mathematics)

Conformable Dynamic Equations on Time Scales

Applied Non-Linear Dynamical Systems: 93 (Springer Proceedings in Mathematics & Statistics, 93)

Theory, Numerics and Applications of Hyperbolic Problems II: Aachen, Germany, August 2016: 237 (Springer Proceedings in Mathematics & Statistics, 237)

Contemporary Research in Elliptic PDEs and Related Topics: 33 (Springer INdAM Series, 33)

Applied Mathematical Analysis: Theory, Methods, and Applications: 177 (Studies in Systems, Decision and Control, 177)

KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns: 22 (SpringerBriefs in Mathematical Physics, 22)

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves: 142 (Monographs and Surveys in Pure and Applied Math)

Applications of Nonlinear Dynamics: Model and Design of Complex Systems (Understanding Complex Systems)

The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology: 58 (Fundamental Theories of Physics, 58)

Methods of Small Parameter in Mathematical Biology (Modeling and Simulation in Science, Engineering and Technology)