2born (2born) wrote,

Переменные действие-угол для индийцев

Action-angle variables for the purely nonlinear oscillator: https://arxiv.org/abs/1905.08062

In this letter, we study the purely nonlinear oscillator by the method of action-angle variables of Hamiltonian systems. The frequency of the non-isochronous system is obtained, which agrees well with the previously known result. Exact analytic solutions of the system involving generalized trigonometric functions are presented. We also comment on the possibility of adiabatic invariants for a time-dependent purely nonlinear oscillator.

16 pages, 7 figures
Tags: Мегаучебник или Что я читал и похвалил, разгребая arXiv'ы, хаос

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