Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11588
Registo completo
Campo DC | Valor | Idioma |
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dc.contributor.author | Arai, Zin | - |
dc.contributor.author | Kalies, William | - |
dc.contributor.author | Kokubu, Hiroshi | - |
dc.contributor.author | Mischaikow, Konstantin | - |
dc.contributor.author | Oka, Hiroe | - |
dc.contributor.author | Pilarczyk, Pawel | - |
dc.date.accessioned | 2011-01-11T15:35:02Z | - |
dc.date.available | 2011-01-11T15:35:02Z | - |
dc.date.issued | 2009 | - |
dc.date.submitted | 2008-09-09 | - |
dc.identifier.citation | ARAI, Zin [et al.] - A database schema for the analysis of global dynamics of multiparameter systems. “SIAM Journal on Applied Dynamical Systems” [Em linha]. 8:3 (2009) 757-789. [Consult. 11 Jan. 2011]. Disponível em WWW:<URL: http://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SJADAY000008000003000757000001&idtype=cvips>. ISSN 1536-0040. | por |
dc.identifier.issn | 1536-0040 | por |
dc.identifier.uri | https://hdl.handle.net/1822/11588 | - |
dc.description.abstract | A generally applicable, automatic method for the e cient computation of a database of global dynamics of a multiparameter dynamical system is introduced. An outer approximation of the dynamics for each subset of the parameter range is computed using rigorous numerical meth- ods and is represented by means of a directed graph. The dynamics is then decomposed into the recurrent and gradient-like parts by fast combinatorial algorithms and is classi ed via Morse decom- positions. These Morse decompositions are compared at adjacent parameter sets via continuation to detect possible changes in the dynamics. The Conley index is used to study the structure of isolated invariant sets associated with the computed Morse decompositions and to detect the ex- istence of certain types of dynamics. The power of the developed method is illustrated with an application to the two-dimensional, density-dependent, Leslie population model. An interactive vi- sualization of the results of computations discussed in the paper can be accessed at the website http://chomp.rutgers.edu/database/, and the source code of the software used to obtain these results has also been made freely available | por |
dc.language.iso | eng | por |
dc.publisher | Society for Industrial and Applied Mathematics (SIAM) | por |
dc.rights | restrictedAccess | por |
dc.subject | Database | por |
dc.subject | Dynamical system | por |
dc.subject | Conley index | por |
dc.subject | Morse decomposition | por |
dc.subject | Leslie population models | por |
dc.subject | Combinatorial dynamics | por |
dc.subject | Multiparameter system | por |
dc.title | A database schema for the analysis of global dynamics of multiparameter systems | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
sdum.number | 3 | por |
sdum.pagination | 757-789 | por |
sdum.publicationstatus | published | por |
sdum.volume | 8 | por |
oaire.citationStartPage | 757 | por |
oaire.citationEndPage | 789 | por |
oaire.citationIssue | 3 | por |
oaire.citationVolume | 8 | por |
dc.identifier.doi | 10.1137/080734935 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | SIAM Journal on Applied Dynamical Systems | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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2009data.pdf Acesso restrito! | Preprint of the paper | 688,35 kB | Adobe PDF | Ver/Abrir |