Degree Type

Dissertation

Date of Award

1991

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

James A. Murdock

Abstract

The phenomenon of "passage through resonance" and "capture at resonance" is studied from the shadowing point of view. Second order approximations are given by a patching method for the case when the resonance zone contains saddle points and sinks. In shadowing, one gives up the attempt to find approximate solution to specified initial value problems, and instead looks simply for approximate solutions to the differential equation which are uniformly close to "some" exact solution for the entire time spent in the resonance zone.

DOI

https://doi.org/10.31274/rtd-180813-9261

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Chao-Pao Ho

Language

en

Proquest ID

AAI9207246

File Format

application/pdf

File Size

61 pages

Included in

Mathematics Commons

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