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The existence of simple choreographies for the N-body problem – a computer-assisted proof

The existence of simple choreographies for the N-body ...

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dc.contributor.author Kapela, Tomasz [SAP11018745] pl
dc.contributor.author Zgliczyński, Piotr [SAP11013513] pl
dc.date.accessioned 2015-01-16T14:20:39Z
dc.date.available 2015-01-16T14:20:39Z
dc.date.issued 2003 pl
dc.identifier.issn 0951-7715 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/2591
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title The existence of simple choreographies for the N-body problem – a computer-assisted proof pl
dc.type JournalArticle pl
dc.description.physical 1899-1918 pl
dc.abstract.en We consider the question of finding a periodic solution for the planar Newtonian N-body problem with equal masses, where each body is travelling along the same closed path. We provide a computer-assisted proof for the following facts: the local uniqueness and the convexity of the Chenciner and Montgomery Eight, the existence (and the local uniqueness) for Gerver's Super-Eight for 4-bodies and a doubly symmetric linear chain for 6-bodies. pl
dc.description.volume 16 pl
dc.description.number 6 pl
dc.identifier.doi 10.1088/0951-7715/16/6/302 pl
dc.identifier.eissn 1361-6544 pl
dc.title.journal Nonlinearity pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej pl
dc.subtype Article pl
dc.rights.original bez licencji pl


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