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II. On the stability of the solutions of Mathieu's equation

โœ Scribed by van der Pol, Balth.; Strutt, M.J.O.


Book ID
121005275
Publisher
Informa UK (Taylor & Francis)
Year
1928
Weight
687 KB
Volume
5
Category
Article
ISSN
1941-5982

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๐Ÿ“œ SIMILAR VOLUMES


On the Modified Mathieu's Equation
โœ Jeffreys, H. ๐Ÿ“‚ Article ๐Ÿ“… 1925 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 133 KB
Stability Analysis Of The Non-Linear Mat
โœ M. Mond; G. Cederbaum; P.B. Khan; Y. Zarmi ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 348 KB

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.