dc.contributor.author Huang, Jeng-Sheng en dc.date.accessioned 2017-03-10T15:15:08Z en dc.date.available 2017-03-10T15:15:08Z en dc.date.issued 1977 en dc.identifier.uri http://hdl.handle.net/10919/76082 en dc.description.abstract A numerical investigation of 2n first-order Hamilton's equations, which describe the motion of a dynamical system, has been conducted using Galerkin's approximations and a derivative-free analogue of Newton's iteration method. Furthermore, the motion stability of a dynamical system in the neighborhood of the approximate periodic solutions due to the effect of the extraneous forces, introduced by the process of using the approximate solutions rather than the actual solutions, has been studied by solving the nonlinear nonhomogeneous differential systems of the perturbed motion. The perturbation solutions are obtained to determine the motion stability. An example, using the van der Pol equation, illustrates the accuracy and error bounds between the approximate solutions and the actual solutions. Furthermore, the example also illustrates the motion stability of perturbation solutions. A computer program for numerical computions has been developed for solving the van der Pol equation with a harmonic forcing term. en dc.format.extent iii, 52 leaves en dc.format.mimetype application/pdf en dc.language.iso en_US en dc.publisher Virginia Polytechnic Institute and State University en dc.relation.isformatof OCLC# 34239005 en dc.rights In Copyright en dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ en dc.subject.lcc LD5655.V856 1977.H82 en dc.title Numerical computation of perturbation solutions of nonautonomous systems en dc.type Dissertation en dc.contributor.department Engineering Mechanics en dc.description.degree Ph. D. en thesis.degree.name Ph. D. en thesis.degree.level doctoral en thesis.degree.grantor Virginia Polytechnic Institute and State University en thesis.degree.discipline Engineering Mechanics en dc.type.dcmitype Text en
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