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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Kato, Tsuyoshi | en |
dc.contributor.alternative | 加藤, 毅 | ja |
dc.date.accessioned | 2013-05-23T00:10:02Z | - |
dc.date.available | 2013-05-23T00:10:02Z | - |
dc.date.issued | 2011-03 | - |
dc.identifier.issn | 1385-0172 | - |
dc.identifier.uri | http://hdl.handle.net/2433/174157 | - |
dc.description.abstract | In 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.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Netherlands | en |
dc.rights | The final publication is available at link.springer.com | en |
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.rights | This is not the published version. Please cite only the published version. | en |
dc.subject | Large scale geometry | en |
dc.subject | Tropical geometry | en |
dc.subject | Scale transform of dynamical systems | en |
dc.title | An Asymptotic Comparison of Differentiable Dynamics and Tropical Geometry | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Mathematical Physics, Analysis and Geometry | en |
dc.identifier.volume | 14 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 39 | - |
dc.identifier.epage | 82 | - |
dc.relation.doi | 10.1007/s11040-010-9087-6 | - |
dc.textversion | author | - |
dcterms.accessRights | open access | - |
Appears in Collections: | Journal Articles |

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