Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

• Κύριοι συγγραφείς: Meyer, Kenneth R. (Συγγραφέας), Offin, Daniel C. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Έκδοση: 3rd ed. 2017.
• Σειρά: Applied Mathematical Sciences, 90
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Physics.; Vibration.; Dynamical systems.; Dynamical Systems and Ergodic Theory.; Theoretical, Mathematical and Computational Physics.; Vibration, Dynamical Systems, Control.

This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with appl...

Πίνακας περιεχομένων:

• Beginnings
• Hamiltonian Systems
• Celestial Mechanics
• The Restricted Problem
• Topics in Linear Theory
• Local Geometric Theory
• Symplectic Geometry
• Special Coordinates
• Poincaré’s Continuation Method
• Normal Forms
• Bifurcations of Periodic Orbits
• Stability and KAM Theory
• Variational Techniques.