Chinese mathematics for nonlinear oscillators

Ling Zhao


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.


Nonlinear oscillator; frequency-amplitude relationship

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