TY  - BOOK
AU  - Ferraz-Mello,Sylvio
ED  - SpringerLink (Online service)
TI  - Canonical Perturbation Theories: Degenerate Systems and Resonance 
T2  - Astrophysics and Space Science Library,
SN  - 9780387389059
U1  - 523.01 23
PY  - 2007///
CY  - New York, NY
PB  - Springer New York
KW  - PHYSICS
KW  - MATHEMATICS
KW  - MATHEMATICAL PHYSICS
KW  - ASTRONOMY
KW  - ASTROPHYSICS
KW  - MATHEMATICAL AND COMPUTATIONAL PHYSICS
KW  - APPLICATIONS OF MATHEMATICS
N1  - The Hamilton-Jacobi Theory -- Angle-Action Variables. Separable Systems -- Classical Perturbation Theories -- Resonance -- Lie Mappings -- Lie Series Perturbation Theory -- Non-Singular Canonical Variables -- Lie Series Theory for Resonant Systems -- Single Resonance near a Singularity -- Nonlinear Oscillators
N2  - Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori's Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay. Also covered are Kolmogorov's frequency relocation method to avoid small divisors, the construction of action-angle variables for integrable systems, and a complete overview of some problems in Classical Mechanics. Sylvio Ferraz-Mello makes these ideas accessible not only to Astronomers, but also to those in the related fields of Physics and Mathematics
UR  - http://dx.doi.org/10.1007/978-0-387-38905-9
ER  -