Action-angle variables for the purely nonlinear oscillator

被引：2

作者：

Ghosh, Aritra ^{[1
]}

Bhamidipati, Chandrasekhar ^{[1
]}

机构：

[1] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Khurja 752050, Odisha, India

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2019年 / 116卷

关键词：

Nonlinear oscillations; Action-angle variables; Ateb functions; Generalized trigonometric functions; GENERALIZED TRIGONOMETRIC FUNCTIONS;

D O I：

10.1016/j.ijnonlinmec.2019.06.012

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：167 / 172

页数：6

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