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In this work, we focused on the stability and reducibility of quasi-periodic systems. We examined the quasi-periodic linear Mathieu equation of the form x ̈+(ä+ϵ[cost+cosùt])x=0 The stability of solutions of

In this work, we focused on the stability and reducibility of quasi-periodic systems. We examined the quasi-periodic linear Mathieu equation of the form x ̈+(ä+ϵ[cost+cosùt])x=0 The stability of solutions of Mathieu's equation as a function of parameter values (ä,ϵ) had been analyzed in this work. We used the Floquet type theory to generate stability diagrams which were used to determine the bounded regions of stability in the ä-ù plane for fixed ϵ.

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    Date Created
    • 2012
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  • Text
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    • Partial requirement for: M.S.Tech, Arizona State University, 2012
      Note type
      thesis
    • Includes bibliographical references (p. 54-56)
      Note type
      bibliography
    • Field of study: Mechanical engineering

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    by Evi Ezekiel

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