Authors: Llibre, Jaume, Moeckel, Richard, Simó, Carles
Provides applications to the study of periodic solutions for some well know differential equations and Hamiltonian systems
Includes new ideas and techniques for central configurations in spaces with dimension bigger than three
Presents invariant objects in dynamical systems in a unique combination of analytical and geometrical aspects

About this Textbook
The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems.
The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.

Number of Illustrations and Tables
35 illus., 5 in colour
Topics
Ordinary Differential Equations
Dynamical Systems and Ergodic Theory
Mathematical Applications in the Physical Sciences
Mathematical Methods in Physics

More info and Hardcover at Springer

Link