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Notes on a conservative nonlinear oscillator. (English) Zbl 1219.34051
Summary: The amplitude-frequency relationship is an important mathematical property for a nonlinear oscillator. He’s amplitude-frequency formulation and the Max-Min approach are used to handle the conservative nonlinear oscillator $$x''+(1+{x'}^2)x=0$$ for the amplitude-frequency relationship. The obtained result is compared with those in the open literature, revealing the effectiveness of the used methods.

##### MSC:
 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
Full Text:
##### References:
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