On the truly nonlinear oscillator with positive and negative damping

作者：

Highlights：

• Approximate solution for the oscillator with rational order nonlinearity and viscous damping is presented.

• Procedure for solving a second order strong nonlinear differential equation based on the Ateb function is developed.

• Novel results on the limit cycle motion of the damped truly nonlinear-van der Pol oscillator are obtained.

摘要

•Approximate solution for the oscillator with rational order nonlinearity and viscous damping is presented.•Procedure for solving a second order strong nonlinear differential equation based on the Ateb function is developed.•Novel results on the limit cycle motion of the damped truly nonlinear-van der Pol oscillator are obtained.

论文关键词：Damped truly nonlinear oscillator,Van der Pol oscillator,Ateb function

论文评审过程：Available online 26 June 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.06.009