Geography of Order and Chaos in Mechanics Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools /

• Κύριος συγγραφέας: Cordani, Bruno (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
• Σειρά: Progress in Mathematical Physics ; 64
• Θέματα: Mathematics.; Partial differential equations.; Differential geometry.; Mathematical physics.; Physics.; Statistical physics.; Mathematical Physics.; Differential Geometry.; Nonlinear Dynamics.; Partial Differential Equations.; Numerical and Computational Physics.; Mathematical Methods in Physics.

This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—includ...

Πίνακας περιεχομένων:

• Preface
• List of Figures
• 1 Introductory Survey
• 2 Analytical Mechanics and Integrable Systems
• 3 Perturbation Theory
• 4 Numerical Tools I: ODE Integration
• 5 Numerical Tools II: Detecting Order, Chaos, and Resonances
• 6 The Kepler Problem
• 7 The KEPLER Program
• 8 Some Perturbed Keplerian Systems
• 9 The Multi-Body Gravitational Problem
• Bibliography
• Index.