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Asymptotic analysis of a class of nonlinear oscillation equation in electrical engineering

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Abstract

In the present paper, we investigate a class of nonlinear oscillation equations in electrical engineering by using the modified Krylov-Bogolyubov method presented in[1]. We obtain quantitatively the parameter range for the existence of a limit cycle and the amplitude of the limit cycle, and find that the limit cycle is unstable. All the results agree entirely with the known results given by qualitative analysis, and hence confirm the effectiveness of the above-mentioned asymptotic method.

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References

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Authors and Affiliations

  1. Department of Fundamental Courses, North China Institute of Electric Power, Baoding

    Chen You-liang

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

    Dai Shi-qiang

Authors
  1. Chen You-liang
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  2. Dai Shi-qiang
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Projects Supported by Shanghai Natural Science Foundation

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You-liang, C., Shi-qiang, D. Asymptotic analysis of a class of nonlinear oscillation equation in electrical engineering. Appl Math Mech 15, 7–12 (1994). https://doi.org/10.1007/BF02451022

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  • DOI: https://doi.org/10.1007/BF02451022

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