Chinese mathematics for nonlinear oscillators
KeywordsNonlinear oscillator, frequency-amplitude relationship
AbstractAncient 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.
How to Cite
ZHAO, Ling. Chinese mathematics for nonlinear oscillators. Topological Methods in Nonlinear Analysis [online]. 1 June 2008, T. 31, nr 2, s. 383–387. [accessed 27.11.2021].
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