Singular Perturbations Introduction to System Order Reduction Methods with Applications /

• Main Authors: Shchepakina, Elena (Author), Sobolev, Vladimir (Author), Mortell, Michael P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2114
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Mathematical physics.; Biomathematics.; Applied mathematics.; Engineering mathematics.; Thermodynamics.; Heat engineering.; Heat transfer.; Mass transfer.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Mathematical Applications in the Physical Sciences.; Mathematical and Computational Biology.; Appl.Mathematics/Computational Methods of Engineering.; Engineering Thermodynamics, Heat and Mass Transfer.

These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the mo...

Table of Contents:

• Introduction
• Slow Integral Manifolds
• The Book of Numbers
• Representations of Slow Integral Manifolds
• Singular Singularly Perturbed Systems
• Reduction Methods for Chemical Systems
• Specific Cases
• Canards and Black Swans
• Appendix: Proofs.