Singular Perturbations Introduction to System Order Reduction Methods with Applications /

• Κύριοι συγγραφείς: Shchepakina, Elena (Συγγραφέας), Sobolev, Vladimir (Συγγραφέας), Mortell, Michael P. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Mathematics, 2114
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.