The Geometry of Hamiltonian Systems

16.08.1991

Englisch

9780387976082, 9780387976082

Springer US

Mathematical Sciences Research Institute Publications

Nein

527

Gebundene Ausgabe

Proceedings of a Workshop Held June 5–16, 1989

22

gauge theory, differential equation, dynamical systems, manifold, symplectic geometry

PBK - Mathematische Analysis, allgemein PBMP - Differentielle und Riemannsche Geometrie PHU - Mathematische Physik

Heisenberg Algebras, Grassmannians and Isospectral Curves.- Coadjoint Orbits, Spectral Curves and Darboux Coordinates.- Hamiltonian Systems on the Jacobi Varieties.- A Universal Reduction Procedure for Hamiltonian Group Actions.- Linear Stability of a Periodic Orbit in the System of Falling Balls.- Birth and Death of Invariant Tori for Hamiltonian Systems.- Dynamical Aspects of the Bidiagonal Singular Value Decomposition.- The Rhombodial Four Body Problem. Global Flow on the Total Collision Manifold.- Toward a Topological Classification of Integrable PDE’s.- Topological Classification of All Integrable Hamiltonian Differential Equations of General Type With Two Degrees of Freedom.- Monotone Maps of Tn× Rn and Their Periodic Orbits.- A Lower Bound for the Number of Fixed Points of Orientation Reversing Homeomorphisms.- Invariant Tori and Cylinders for a Class of Perturbed Hamiltonian Systems.- Modified Structures Associated with Poisson Lie Groups.- Optimal Control of Deformable Bodies and Its Relation to Gauge Theory.- The Augmented Divisor and Isospectral Pairs.- Symplectic Numerical Integration of Hamiltonian Systems.- Connections Between Critical Points in the Collision Manifold of the Planar 3-Body Problem.- The Non-collision Singularities of the 5-Body Problem.

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