Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight

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Computer assisted proofs for nonsymmetric planar ...

dc.contributor.author	Kapela, Tomasz [SAP11018745]	pl
dc.contributor.author	Simo, Carles	pl
dc.date.accessioned	2014-12-18T08:47:34Z
dc.date.available	2014-12-18T08:47:34Z
dc.date.issued	2007	pl
dc.identifier.issn	0951-7715	pl
dc.identifier.uri	http://ruj.uj.edu.pl/xmlui/handle/item/2328
dc.language	eng	pl
dc.rights	Dodaję tylko opis bibliograficzny	*
dc.rights.uri		*
dc.title	Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight	pl
dc.type	JournalArticle	pl
dc.description.physical	1241-1255	pl
dc.abstract.other	We present a general method to produce computer assisted proofs of the existence of choreographies in the N-body problem. This method allows us to verify rigorously numerical data from computer simulations. As an example we use it to prove the existence of nonsymmetric choreographies with six and seven bodies. The method provides estimates for the initial conditions and for the monodromy matrix of the choreography. These data are used to show linear stability of the Eight solution restricted to the plane and zero angular momentum motions.	pl
dc.description.volume	20	pl
dc.description.number	5	pl
dc.identifier.doi	10.1088/0951-7715/20/5/010	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