Stability analysis of the non-linear mathieu equation

M. Mond; G. Cederbaum; P. B. Khan; Y. Zarmi

doi:10.1006/jsvi.1993.1322

Stability analysis of the non-linear mathieu equation

M. Mond, G. Cederbaum, P. B. Khan, Y. Zarmi

Department of Mechanical Engineering

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

51 Scopus citations

Abstract

The non-linear Mathieu equation is analyzed within the framework of the method of normal forms. Analytical conditions for explosive instability are obtained, and expressions for the period as well as the amplitude of the stable response are derived.

Original language	English
Pages (from-to)	77-89
Number of pages	13
Journal	Journal of Sound and Vibration
Volume	167
Issue number	1
DOIs	https://doi.org/10.1006/jsvi.1993.1322
State	Published - 8 Oct 1993

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1006/jsvi.1993.1322

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title = "Stability analysis of the non-linear mathieu equation",

abstract = "The non-linear Mathieu equation is analyzed within the framework of the method of normal forms. Analytical conditions for explosive instability are obtained, and expressions for the period as well as the amplitude of the stable response are derived.",

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AU - Mond, M.

AU - Cederbaum, G.

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Stability analysis of the non-linear mathieu equation

Abstract

ASJC Scopus subject areas

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