Second order shadowing approximations for passage through resonance and capture at resonance

dc.contributor.advisor James A. Murdock
dc.contributor.author Ho, Chao-Pao
dc.contributor.department Mathematics
dc.date 2018-08-15T13:38:44.000
dc.date.accessioned 2020-07-02T06:14:34Z
dc.date.available 2020-07-02T06:14:34Z
dc.date.copyright Tue Jan 01 00:00:00 UTC 1991
dc.date.issued 1991
dc.description.abstract <p>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.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/9612/
dc.identifier.articleid 10611
dc.identifier.contextkey 6360743
dc.identifier.doi https://doi.org/10.31274/rtd-180813-9261
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/9612
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/82730
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/9612/r_9207246.pdf|||Sat Jan 15 02:35:39 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics
dc.title Second order shadowing approximations for passage through resonance and capture at resonance
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
File
Original bundle
Now showing 1 - 1 of 1
Name:
r_9207246.pdf
Size:
818.8 KB
Format:
Adobe Portable Document Format
Description: