Hamiltonian Structures and Generating Families

• Main Author: Benenti, Sergio (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Series: Universitext,
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; System theory.; Mathematical physics.; Differential geometry.; Differential Geometry.; Mathematical Applications in the Physical Sciences.; Systems Theory, Control.; Mathematical Physics.; Global Analysis and Analysis on Manifolds.

This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way. From the re...

Table of Contents:

• Preface.- Basic Notions of Calculus on Manifolds.- Relations.- Symplectic Relations on Symplectic Manifolds.- Symplectic Relations on Cotangent Bundles.- Canonical Lift on Cotangent Bundles.-The Geometry of the Hamilton-Jacobi Equation.- Hamiltonian Optics in Euclidean Spaces.- Control of Static Systems.- Supplementary Topics.- Global Hamilton Principal Functions on S2 and H2
• References
• Index.