Integrable Hamiltonian Systems with Two Degrees of Freedom
Our main goal in this chapter is to describe the structure of the Liouville foliation near a singular fiber of an integrable Hamiltonian system (definitions follow). A similar problem was formulated by S. Smale . Here we discuss some new results in this direction obtained by L. Lerman and Ya. Umanskii [1987: 1993], by A. Bolsinov , and by V. Matveev .
KeywordsSingular Point Hamiltonian System Bifurcation Diagram Symplectic Manifold Integrable Hamiltonian System
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