TY - BOOK ID - 213365 TI - Canonical Perturbation Theories : Degenerate Systems and Resonance PY - 2007 SN - 1280865385 9786610865383 0387389059 0387389008 1441922857 9781441922854 PB - New York, NY : Springer New York : Imprint: Springer, DB - UniCat KW - Perturbation (Astronomy) KW - Series, Lie. KW - Hamiltonian systems. KW - resonance hamiltonian methods in celestial mechanics and applications KW - Hamiltonian dynamical systems KW - Systems, Hamiltonian KW - Differentiable dynamical systems KW - Lie series KW - Functions of complex variables KW - Celestial mechanics KW - Perturbation (Mathematics) KW - Mathematics. KW - Astrophysics and Astroparticles. KW - Theoretical, Mathematical and Computational Physics. KW - Astronomy, Observations and Techniques. KW - Applications of Mathematics. KW - Math KW - Science KW - Astrophysics. KW - Mathematical physics. KW - Observations, Astronomical. KW - Astronomy—Observations. KW - Applied mathematics. KW - Engineering mathematics. KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Astronomical observations KW - Observations, Astronomical KW - Physical mathematics KW - Physics KW - Astronomical physics KW - Astronomy KW - Cosmic physics KW - Mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:213365 AB - 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. ER -