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dc.contributor.authorChicone, Carmen Charleseng
dc.contributor.authorKopeikin, Sergei M.eng
dc.contributor.authorMashhoon, Bahrameng
dc.contributor.authorRetzloff, David G.eng
dc.date.issued2001eng
dc.description.abstractStarting from delay equations that model field retardation effects, we study the origin of runawaymodes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation effects are small, we argue that the physically significant solutions belong to the so-called slow manifold of the system and we identify this invariant manifold with the attractor in the state space of the delay equation. We demonstrate via an example that when retardation effects are no longer small, the motion could exhibit bifurcation phenomena that are not contained in the local equations of motion.eng
dc.identifier.citationarXiv:gr-qc/0101122v3eng
dc.identifier.urihttp://hdl.handle.net/10355/6982eng
dc.languageEnglisheng
dc.publisherarXiveng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publicationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.source.urihttp://arxiv.org/PS_cache/gr-qc/pdf/0101/0101122v3.pdfeng
dc.subjectgeneral relativityeng
dc.subjectquantum cosmologyeng
dc.subject.lcshDelay differential equationseng
dc.subject.lcshRadiation dampingeng
dc.titleDelay equations and radiation dampingeng
dc.typeArticleeng


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