Abstract
This paper studies a conservative nonlinear oscillator with odd nonlinearities, u\(^{\prime \prime }+f(u)=0\), the square of its frequency is f\(^{\prime }(\hbox {u}_\mathrm{i})\), where \(\hbox {u}_\mathrm{i}\) is a location point. A criterion on how to choose a location point is given. Dufffing equation is used as an example to show the accuracy of the prediction.
References
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Acknowledgments
The work is supported by PAPD (A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions), “Six Talent Peak” of Jiangsu Province (ZBZZ-035).
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He, JH. Amplitude-Frequency Relationship for Conservative Nonlinear Oscillators with Odd Nonlinearities. Int. J. Appl. Comput. Math 3, 1557–1560 (2017). https://doi.org/10.1007/s40819-016-0160-0
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DOI: https://doi.org/10.1007/s40819-016-0160-0