Global angle-action variables for Duffing system

Details Global angle-action variables for Duffing system Global angle-action variables for Duffing system

2001-05-17

arxiv.org/abs/math/0105147v1

Mathematics

Dynamical Systems

6 pages, 4 EPS figures

Scientific paper

The classical representation of Hamiltonian systems in terms of action-angle variables are defined for simply connected domains such as an interior of a homoclinic orbit. On this basis methods of (local) perturbations leading, in particular, to chaotic systems have been studied in literature. We are describing a new method for constructing global action-angle variables and successive perturbations based on a topological covering of the phase space. The method is demonstrated for representative example of the Duffing system.

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