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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- Partial requirement for: M.S.Tech, Arizona State University, 2012Note typethesis
- Includes bibliographical references (p. 54-56)Note typebibliography
- Field of study: Mechanical engineering