2born (2born) wrote,


Возможно, пригодится для моих хаотический упражнений...

A semi-theoretical method to detect classical monodromy: https://arxiv.org/abs/2103.13711

Juan J. Omiste, Rosario González-Férez, Rafael Ortega
An integrable Hamiltonian system presents monodromy if the action-angle variables cannot be defined globally. We consider a classical system with azimuthal symmetry and explore the topology structure of its phase space. Based on the behavior of closed orbits around singular points or regions of the energy-momentum plane, a semi-theoretical method is derived to detect classical monodromy. The validity of the monodromy test is numerically illustrated for several systems with azimuthal symmetry.
Comments: 16 pages, 12 figures
Tags: Мегаучебник или Что я читал и похвалил, наука, разгребая arXiv'ы

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