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dc.contributor.authorKato, Tsuyoshien
dc.contributor.alternative加藤, 毅ja
dc.date.accessioned2013-05-23T00:10:02Z-
dc.date.available2013-05-23T00:10:02Z-
dc.date.issued2011-03-
dc.identifier.issn1385-0172-
dc.identifier.urihttp://hdl.handle.net/2433/174157-
dc.description.abstractIn this paper we introduce a new comparison method to give rough asymptotic estimates of different evolutional dynamics. It uses a kind of scale transform called tropical geometry, which connects automata with real rational dynamics. By this procedure the defining equations are transformed rather than solutions themselves. Real rational dynamics is regarded as an approximation of evolutional dynamics given by partial differential equations (PDEs). Two different evolutional dynamics can be considered when their defining equations are transformed to the same automata at infinity.en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherSpringer Netherlandsen
dc.rightsThe final publication is available at link.springer.comen
dc.rightsこの論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。ja
dc.rightsThis is not the published version. Please cite only the published version.en
dc.subjectLarge scale geometryen
dc.subjectTropical geometryen
dc.subjectScale transform of dynamical systemsen
dc.titleAn Asymptotic Comparison of Differentiable Dynamics and Tropical Geometryen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleMathematical Physics, Analysis and Geometryen
dc.identifier.volume14-
dc.identifier.issue1-
dc.identifier.spage39-
dc.identifier.epage82-
dc.relation.doi10.1007/s11040-010-9087-6-
dc.textversionauthor-
dcterms.accessRightsopen access-
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