Ferraz-Mello, Sylvio. <br/><br/>
Canonical Perturbation Theories  Degenerate Systems and Resonance /  [recurso electrónico] : 
by Sylvio Ferraz-Mello. 
 - XIV, 341 p.  online resource. 
 - Astrophysics and Space Science Library,  345  0067-0057 ; .
 - Astrophysics and Space Science Library,  345 .
<br/><br/>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. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9780387389059 99780387389059 
<br/><br/><label>Standard No.: </label>10.1007/978-0-387-38905-9  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>PHYSICS.<br/>MATHEMATICS.<br/>MATHEMATICAL PHYSICS.<br/>ASTRONOMY.<br/>ASTROPHYSICS.<br/>PHYSICS.<br/>ASTROPHYSICS.<br/>MATHEMATICAL AND COMPUTATIONAL PHYSICS.<br/>ASTRONOMY.<br/>APPLICATIONS OF MATHEMATICS.
<br/><br/><label>Dewey Class. No.: </label>523.01