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- W2377953054 abstract "A method of initial-value transformation was presented to obtain the approximate analytic periods of a class of nonlinear oscillators. The periodic solutions can be expressed in the forms of basic harmonics and bifurcate harmonics. Thus,an oscillation system,which is described as a second order ordinary differential equation, can be expressed as a set of non-linear algebraic equations with a frequency,amplitudes as the independent variables using Ritz-Galerkin’s method. But the set of equations is incomplete,and the key is to consider initial-value transformation. After adding supplementary equations,a set of non-linear algebraic equations with angular frequencies,amplitudes as the independent variables was constituted completely. For examples,six asymmetric periodic solutions bifurcating about a nonlinear differential equation arising in general relativity were solved by using the method of initial-value transform. Amplitude-frequency curves and central offset-frequency curves of the asymmetrically vibration systems were derived. In addition,the drift phenomenon of natural angular frequency was discovered." @default.
- W2377953054 created "2016-06-24" @default.
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- W2377953054 date "2012-01-01" @default.
- W2377953054 modified "2023-09-27" @default.
- W2377953054 title "ASYMMETRIC,STRONGLY NONLINEAR OSCILLATION CHARACTERISTIC ANALYSIS" @default.
- W2377953054 hasPublicationYear "2012" @default.
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