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arXiv · 2306.00875

Complex Arnol'd-Liouville maps

Luca Biasco·Luigi Chierchia
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Abstract

We discuss the holomorphic properties of the complex continuation of the classical Arnol'd-Liouville action-angle variables for real analytic 1 degree--of--freedom Hamiltonian systems depending on external parameters in suitable `generic standard form', with particular regard to the behaviour near separatrices.

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Luca Biasco, Luigi Chierchia. 2023-06-01. Complex Arnol'd-Liouville maps. https://arxiv.org/abs/2306.00875

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