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He, Ji-Huan

Variational approach for nonlinear oscillators. (English) Zbl 1152.34327

Chaos Solitons Fractals 34, No. 5, 1430-1439 (2007).
Summary: We propose a novel variational approach for limit cycles of a kind of nonlinear oscillators. Some examples are given to illustrate the effectiveness and convenience of the method. The obtained results are valid for the whole solution domain with high accuracy.

Cited in 92 Documents

MSC:

34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
49M15 Newton-type methods
65L10 Numerical solution of boundary value problems involving ordinary differential equations
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\textit{J.-H. He}, Chaos Solitons Fractals 34, No. 5, 1430--1439 (2007; Zbl 1152.34327)
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References:

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