Periodic Solutions for Some Strongly Nonlinear Oscillators by He's Energy Balance Method

Authors: Meng Hu, Lili Wang

Abstract:

In this paper, applying He-s energy balance method to determine frequency formulation relations of nonlinear oscillators with discontinuous term or fractional potential. By calculation and computer simulations, compared with the exact solutions show that the results obtained are of high accuracy.

Keywords: He's energy balance method, periodic solution, nonlinear oscillator, discontinuous, fractional potential.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081703

References:

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[3] J.H. He, Variational approach for nonlinear oscillators, Chaos Solitons & Fractals 34(2007) 1430-1439.