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

• Main Author: Cordani, Bruno. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhũser, 2013.
• Series: Progress in Mathematical Physics ; 64
• Subjects: Mathematics.; Differential equations, partial.; Global differential geometry.; Mathematical physics.; Mathematical Physics.; Differential Geometry.; Nonlinear Dynamics.; Partial Differential Equations.; Numerical and Computational Physics.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-8370-2

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<U+0...

Table of Contents:

• 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.