Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

Ken Meyer  has a long history of working in Hamiltonian differential equations and the N-body problem.  He has over 100 papers published.    Daniel Offin is an active researcher in the theory of Hamiltonian systems using variational methods. He has made some important contributions to celestial mechanics using the Maslov index.

• Beginnings.- Hamiltonian Systems.- Celestial Mechanics.- The Restricted Problem.- Topics in Linear Theory.- Local Geometric Theory.- Symplectic Geometry.- Special Coordinates.- Poincaré’s Continuation Method.- Normal Forms.- Bifurcations of Periodic Orbits.- Stability and KAM Theory.- Variational Techniques.

“The book begins as an elementary introduction to the theory of Hamiltonian systems, taking as a starting point Hamiltonian systems of differential equations and explaining the interesting features they have with the help of classical examples. … the book can be used at an advanced undergraduate or beginning graduate level as an introduction to these subjects, in particular when one is interested in their impact on classical (celestial) mechanics.” (Johannes Giannoulis, zbMATH 1372.70002, 2017)