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Global angle-action variables for Duffing system

I. Kunin·A. Runov
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Abstract

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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I. Kunin, A. Runov. 2001-05-17. Global angle-action variables for Duffing system. https://arxiv.org/abs/math/0105147

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