Ordinary Differential Equations with Applications

• Κύριος συγγραφέας: Chicone, Carmen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2006.
• Έκδοση: 2.
• Σειρά: Texts in Applied Mathematics, 34
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Differential equations.; Statistical physics.; Dynamical systems.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Statistical Physics, Dynamical Systems and Complexity.; Analysis.

This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications...

Πίνακας περιεχομένων:

• to Ordinary Differential Equations
• Linear Systems and Stability of Nonlinear Systems
• Applications
• Hyperbolic Theory
• Continuation of Periodic Solutions
• Homoclinic Orbits, Melnikov’s Method, and Chaos
• Averaging
• Local Bifurcation.