Integrable Hamiltonian systems have been of growing interest over the past 30 years and
represent one of the most intriguing and mysterious classes of dynamical systems. This book …

The classical Amold-Liouville theorem describes the geometry of an integrable Hamiltonian
system near a regular level set of the moment map. Our results describe it near a …

In the paper, topology of energy surfaces is described and bifurcation sets is constructed for
the classical Chaplygin problem and its generalization. We also describe bifurcations of …

This paper is concerned with the study of the topological type of the level sets of the
integrable cases of Armbruster Guckenheimer Kim galactic potential. Furthermore, all …

The classical Arnold-Liouville theorem describes the geometry of an integrable Hamiltonian
system near a regular level set of the moment map. Our results describe it near a …

Integrable Hamiltonians with velocity-dependent potentials, including those of Fokker-
Planck Hamiltonians H= ½ (px 2+ py 2)+ kxp x+ kypy, are constructed from integrable …

The classical dynamics of a hydrogen atom in a generalized van der Waals potential is
investigated. In order to carry out the analytical and numerical investigations for a range of …

In this paper we propose a new approach to the study of integrable cases based on
intensive computer methods' application. We make a new investigation of Kovalevskaya and …

In this article, the classic dynamic of Paul trap problem is investigated. We give a complete
description of the topological structure of Hamiltonian flows on the real phase space. Using …

In this paper, the integrable classical case of the Hydrogen atom subjected to three static
external fields is investigated. The structuring and evolution of the real phase space are …