Hamiltonian Dynamical Systems.

Intro -- Contents -- Preface -- Some qualitative features of the three-body problem -- Symmetry in n-particle systems -- The charged isosceles 3-body problem -- Central configurations in R2 and R3 -- Stable manifolds in Hamiltonian systems -- Reduction of Hamiltonian systems for singular values of momentum -- A variation on the Poincaré-Birkhoff theorem -- An analog of Sharkovski's theorem for twist maps -- Some problems on dynamics of annulus maps -- Area preserving homeomorphisms of two manifolds -- An Anosov type stability theorem for almost periodic systems -- The prescribed energy problem for periodic solutions of Hamiltonian systems -- Homoclinic and heteroclinic phenomena in some Hamiltonian systems -- Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations -- The three point vortex problem: Commutative and non-commutative integrability -- On a theorem of Ziglin in Hamiltonian dynamics.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.