ISSN:
1573-2754
Keywords:
nonlinear oscillation
;
limit cycle
;
asymptotic analysis
;
modified Krylov-Bogolyubov method
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02451022
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