Four-Dimensional Integrable Hamiltonian Systems with Simple Singular Points (Topological Aspects)

Explicates the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group R2. Emphasis is placed on the topology of this foliation rather than on analytic representation. In contrast to previously published works in this area, the authors consistently use the dynamical properties of the action to achieve their results. For graduate students and research mathematicians working in the dynamics of Hamiltonian systems. Also useful for those studying the geometric structure of symplectic manifolds. Translated from Russian. No index. Annotation c. by Book News, Inc., Portland, Or.