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Title: Action-angle variables for the purely nonlinear oscillator
Authors: Ghosh A.
Bhamidipati C.
Keywords: Action-angle variables
Ateb functions
Generalized trigonometric functions
Nonlinear oscillations
Issue Date: 2019
Abstract: 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 present arguments to show the adiabatic invariance of the action variable for a time-dependent purely nonlinear oscillator. � 2019 Elsevier Ltd
Appears in Collections:Research Publications

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