Cheng You-liang, Dai Shi-qiang. Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering[J]. Applied Mathematics and Mechanics, 1994, 15(1): 7-12.
Citation: Cheng You-liang, Dai Shi-qiang. Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering[J]. Applied Mathematics and Mechanics, 1994, 15(1): 7-12.

Asymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering

  • Publish Date: 1994-01-15
  • In the present paper,we investigate a class of nonlinear oscillation equations inelectrical engineering by using the modified Krylov-Bogolyubov method presentedin[1]. We obtain quantitatively ihe parameier range for the existence of a limit cycleand 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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