Title | The Geometry of Hamiltonian Systems [electronic resource] : Proceedings of a Workshop Held June 5-16, 1989 / edited by Tudor Ratiu |
---|---|
Imprint | New York, NY : Springer US, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9725-0 |
Descript | X, 527 p. online resource |
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 PDEโs -- Topological Classification of All Integrable Hamiltonian Differential Equations of General Type With Two Degrees of Freedom -- Monotone Maps of Tnร 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