Melnikov's method for a general nonlinear vibro-impact oscillator

Wei Xu; Jinqian Feng; Haiwu Rong

doi:10.1016/j.na.2008.10.120

Melnikov's method for a general nonlinear vibro-impact oscillator

Wei Xu, Jinqian Feng, Haiwu Rong

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

Abstract

Melnikov's method is presented for a general nonlinear vibro-impact oscillator, and Melnikov function for homoclinic orbits is obtained analytically. A Duffing vibro-impact oscillator is given to illustrate the application of the procedures. The obtained results are verified by the phase portrait, Poincaré surface of section and bifurcation diagrams.

Original language	English
Pages (from-to)	418-426
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	1-2
DOIs	https://doi.org/10.1016/j.na.2008.10.120
State	Published - 1 Jul 2009

Keywords

Homoclinic orbit
Melnikov's method
Non-smooth system
Vibro-impact oscillator

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10.1016/j.na.2008.10.120

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abstract = "Melnikov's method is presented for a general nonlinear vibro-impact oscillator, and Melnikov function for homoclinic orbits is obtained analytically. A Duffing vibro-impact oscillator is given to illustrate the application of the procedures. The obtained results are verified by the phase portrait, Poincar{\'e} surface of section and bifurcation diagrams.",

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AU - Xu, Wei

AU - Feng, Jinqian

AU - Rong, Haiwu

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N2 - Melnikov's method is presented for a general nonlinear vibro-impact oscillator, and Melnikov function for homoclinic orbits is obtained analytically. A Duffing vibro-impact oscillator is given to illustrate the application of the procedures. The obtained results are verified by the phase portrait, Poincaré surface of section and bifurcation diagrams.

AB - Melnikov's method is presented for a general nonlinear vibro-impact oscillator, and Melnikov function for homoclinic orbits is obtained analytically. A Duffing vibro-impact oscillator is given to illustrate the application of the procedures. The obtained results are verified by the phase portrait, Poincaré surface of section and bifurcation diagrams.

KW - Homoclinic orbit

KW - Melnikov's method

KW - Non-smooth system

KW - Vibro-impact oscillator

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M3 - 文章

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JO - Nonlinear Analysis, Theory, Methods and Applications

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ER -

Melnikov's method for a general nonlinear vibro-impact oscillator

Abstract

Keywords

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