On the stability of periodic orbits in Rn

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RECERCAT Home > Centres de Recerca de Catalunya (CERCA) > Centre de Recerca Matemàtica > Prepublicacions del Centre de Recerca Matemàtica > View document

Use this identifier to quote or link this document: http://hdl.handle.net/2072/4043

dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Gasull i Embid, Armengol
dc.contributor.author	Giacomini, Hector
dc.contributor.author	Grau Montaña, Maria Teresa
dc.date.accessioned	2007-04-17T14:11:51Z
dc.date.available	2007-04-17T14:11:51Z
dc.date.created	2006-09
dc.date.issued	2006-09
dc.identifier.uri	http://hdl.handle.net/2072/4043
dc.format.extent	19
dc.format.extent	223472 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation.ispartofseries	Prepublicacions del Centre de Recerca Matemàtica;719
dc.rights	Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
dc.subject.other	Dinàmica combinatòria
dc.subject.other	Equacions diferencials ordinàries
dc.title	On the stability of periodic orbits in Rn
dc.type	info:eu-repo/semantics/preprint
dc.subject.udc	517 - Anàlisi
dc.subject.udc	517 - Anàlisi
dc.description.abstract	We consider an autonomous differential system in Rn with a periodic orbit and we give a new method for computing the characteristic multipliers associated to it. Our method works when the periodic orbit is given by the transversal intersection of n ¡ 1 codimension one hypersurfaces and is an alternative to the use of the first order variational equations. We apply it to study the stability of the periodic orbits in several examples, including a periodic solution found by Steklov studying the rigid body dynamics.

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