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Contribution to the theory of weakly nonlinear oscillators: Part I. An estimation of amplitude and frequency
Author(s) -
Kudrewicz J.
Publication year - 1976
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490040206
Subject(s) - mathematics , nonlinear system , amplitude , mathematical analysis , function (biology) , periodic function , signal (programming language) , value (mathematics) , physics , computer science , quantum mechanics , statistics , evolutionary biology , biology , programming language
Steady state signal in an oscillator is described by a nonlinear integral equation. A new theorem on the existence of an isolated number ω, for which the equation has a periodic eigensolution of period 2π/ω is given in the paper. An approximate value ω and approximate eigensolution can be easily obtained by the describing function method. The main result of the paper is the presentation of an effective estimation of the error of this approximation for weakly nonlinear oscillators.