Four-dimensional integrable Hamiltonian systems with simple singular points (topological aspects)

✍ Scribed by Lerman, L. M.; Umanskiy, Ya. L.

Publisher: American Mathematical Society
Year: 1998
Tongue: English
Leaves: 194
Series: Translations of mathematical monographs 176.
Category: Library

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✦ Table of Contents

General results of the theory of Hamiltonian systems Linear theory and classification of singular orbits IHVF and Poisson actions of Morse type Center-center type singular points of PA and elliptic singular points of IHVF Saddle-center type singular points Saddle type singular points Saddle-focus type singular points Realization Normal forms of quadratic Hamilton functions and their centralizers in $sp(4,{\mathbb R})$ The gradient system on $M$ compatible with the Hamiltonian Bibliography.

✦ Subjects

Hamiltonian systems;Four-manifolds (Topology);Orbite singulière;Point singulier;Systèmes hamiltoniens;Variétés topologiques à 4 dimensions

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