Chinese mathematics for nonlinear oscillators
Keywords
Nonlinear oscillator, frequency-amplitude relationshipAbstract
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.Downloads
Published
2008-06-01
How to Cite
1.
ZHAO, Ling. Chinese mathematics for nonlinear oscillators. Topological Methods in Nonlinear Analysis. Online. 1 June 2008. Vol. 31, no. 2, pp. 383 - 387. [Accessed 29 March 2024].
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