@article{Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques_2023, volume={7}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/determination-of-the-amplitude-frequency-for-strongly-nonlinear-oscillator-by-two-approximate-analytical-techniques/}, DOI={10.1186/2251-7235-7-38}, abstractNote={AbstractIn this paper, we investigate two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, and these approximate techniques are applied to solve the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire. We present a comparative study between the energy balance method and amplitude-frequency formulation with exact solution. The approximate results reveal that these methods are very effective and convenient for determining the frequencies of nonlinear dynamical systems.}, number={1}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, year={2023}, month={Nov.}, keywords={Frequency formulation, Nonlinear differential equation, Nonlinear oscillator, Amplitude, Energy balance method, Exact solution} }