Focus-focus singularities in classical mechanics

Gleb E. Smirnov

Russian journal of nonlinear dynamics, Tome 10 (2014) no. 1, pp. 101-112.

Résumé

In this paper the local singularities of integrable Hamiltonian systems with two degrees of freedom are studied. The topological obstruction to the existence of a focus-focus singularity with given complexity is found. It is shown that only simple focus-focus singularities can appear in a typical mechanical system. Model examples of mechanical systems with complicated focus-focus singularity are given.

Détail

Keywords: integrable hamiltonian systems, focus-focus singularities, obstruction to the existence of singularities.

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