Notes on a conservative nonlinear oscillator

Authors:
Guo-hua Chen;Zhao-Ling Tao;Jin-Zhong Min
Affiliations:
School of Management Science and Engineering, Nanjing University, Nanjing 210093, PR China;College of Mathematics & Physics, Nanjing University of Information Science and Technology, Nanjing 210044, PR China;Key Laboratory of Meteorological Disaster of Ministry of Education, Nanjing University of Information Science & Technology (Jiangsu Key Laboratory of Meteorological Disaster), Nanjing 210044, PR C ...
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

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.