Hamiltonian Dynamical Systems: Proceedings
Kenneth R. Meyer, Donald G. Saart (ed.)The field of Hamiltonian dynamics has its roots in Newton's application of the science of dynamics to the emerging problems of orbital mechanics and in the development of celestial mechanics. Indeed, many of the talks at the conference emphasized topics directly concerned with such questions as the Newtonian $n$-body problem, the three-body problem, and the artificial earth satellite. Some speakers focused on those dynamical issues---such as integrability, KAM, and extensions of the Poincaré-Birkhoff results---that emerged from celestial mechanics and extend to wider classes of dynamical systems.
Other topics covered include periodic orbits with variation methods, twist and annulus maps, stable mainfold theory, almost periodic motion, and heteroclinic and homoclinic orbits. By bringing together papers from such a diverse range of topics, this book may serve to stimulate further development in this area