A new perturbation solution for systems with strong quadratic and cubic nonlinearities

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dc.contributor.authorPakdemirli M.
dc.contributor.authorKarahan M.M.F.
dc.date.accessioned2024-07-22T08:21:04Z
dc.date.available2024-07-22T08:21:04Z
dc.date.issued2010
dc.description.abstractThe new perturbation algorithm combining the method of multiple scales (MS) and Lindstedt-Poincare techniques is applied to an equation with quadratic and cubic nonlinearities. Approximate analytical solutions are found using the classical MSmethod and the new method. Both solutions are contrasted with the direct numerical solutions of the original equation. For the case of strong nonlinearities, solutions of the new method are in good agreement with the numerical results, whereas the amplitude and frequency estimations of classical MS yield high errors. For strongly nonlinear systems, exact periods match well with the new technique while there are large discrepancies between the exact and classical MS periods. Copyright © 2009 John Wiley & Sons, Ltd.
dc.identifier.DOI-ID10.1002/mma.1187
dc.identifier.issn10991476
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18453
dc.language.isoEnglish
dc.subjectControl nonlinearities
dc.subjectFrequency estimation
dc.subjectNonlinear systems
dc.subjectNumerical analysis
dc.subjectNumerical methods
dc.subjectApproximate analytical solutions
dc.subjectCubic nonlinearities
dc.subjectLindstedt-Poincare method
dc.subjectMethod of multiple scale
dc.subjectNumerical results
dc.subjectNumerical solution
dc.subjectPerturbation method
dc.subjectPerturbation solutions
dc.subjectPoincare
dc.subjectStrong nonlinearity
dc.subjectStrongly nonlinear system
dc.subjectPerturbation techniques
dc.titleA new perturbation solution for systems with strong quadratic and cubic nonlinearities
dc.typeArticle

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