Concepedia

A hyperbolic Lindstedt–Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators

Y. Y. Chen, S. H. Chen, K. Y. Sze

Acta Mechanica Sinica · 2009 · 23 citations · 10 references

DOI

Concepts

References

10

Handbook of Mathematical Functions

Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations

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Homoclinic Connections in Strongly Self-Excited Nonlinear Oscillators: The Melnikov Function and the Elliptic Lindstedt–Poincaré Method

Mohamed Belhaq, Bernold Fiedler, Faouzi Lakrad · Nonlinear Dynamics · 2000 · 55 citations

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A hyperbolic perturbation method for determining homoclinic solution of certain strongly nonlinear autonomous oscillators

S.H. Chen, Y.Y. Chen, K. Y. Sze · Journal of Sound and Vibration · 2008 · 30 citations

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Prediction of homoclinic bifurcation: the elliptic averaging method

M. Belhaq, Faouzi Lakrad · Chaos Solitons & Fractals · 2000 · 29 citations

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Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method

Zhengji Xu, H.S.Y. Chan, K.W. Chung · Nonlinear Dynamics · 1996 · 27 citations

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