Abstract

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.

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