Degenerate Systems and Resonance Ferraz-Mello, Sylvio. creator author. SpringerLink (Online service) text xxu 2007 monographic eng

electronic

recurso electrónico

access XIV, 341 p. online resource. 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. 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. by Sylvio Ferraz-Mello. PHYSICS MATHEMATICS MATHEMATICAL PHYSICS ASTRONOMY ASTROPHYSICS PHYSICS ASTROPHYSICS MATHEMATICAL AND COMPUTATIONAL PHYSICS ASTRONOMY APPLICATIONS OF MATHEMATICS 523.01 9780387389059 99780387389059 http://dx.doi.org/10.1007/978-0-387-38905-9 http://dx.doi.org/10.1007/978-0-387-38905-9 100301 20260521091915.0 978-0-387-38905-9