Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 31, Number 2 (2008), 383-387.
Chinese mathematics for nonlinear oscillators
Ancient Chinese mathematicians made dramatic progress toward answering one of the oldest, most fundamental problem of how to solve approximately a real root of a nonlinear algebra equation in about 2nd century BC. The idea was further extended to nonlinear differential equations by J. H. He in 2002. In this paper, J. H. He's frequency-amplitude formation is used to find periodic solution of a pure nonlinear oscillator (without a linear term). The obtained result is of remarkable accuracy.
Topol. Methods Nonlinear Anal., Volume 31, Number 2 (2008), 383-387.
First available in Project Euclid: 13 May 2016
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Zhao, Ling. Chinese mathematics for nonlinear oscillators. Topol. Methods Nonlinear Anal. 31 (2008), no. 2, 383--387. https://projecteuclid.org/euclid.tmna/1463150283