dc.contributor
Agència de Gestió d'Ajuts Universitaris i de Recerca
dc.contributor.author
Gonchenko, Marina
dc.date.accessioned
2007-03-26T10:02:43Z
dc.date.available
2007-03-26T10:02:43Z
dc.date.created
2006-10-16
dc.date.issued
2007-03-26T10:02:43Z
dc.identifier.uri
http://hdl.handle.net/2072/3747
dc.description.abstract
Report for the scientific sojourn at the Research Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod, Russia, from July to September 2006. Within the project, bifurcations of orbit behavior in area-preserving and reversible maps with a homoclinic tangency were studied. Finitely smooth normal forms for such maps near saddle fixed points were constructed and it was shown that they coincide in the main order with the analytical Birkhoff-Moser normal form. Bifurcations of single-round periodic orbits for two-dimensional symplectic maps close to a map with a quadratic homoclinic tangency were studied. The existence of one- and two-parameter cascades of elliptic periodic orbits was proved.
cat
dc.format.extent
24877 bytes
dc.format.extent
35405 bytes
dc.format.mimetype
application/pdf
dc.format.mimetype
application/pdf
dc.relation.ispartofseries
Els ajuts de l'AGAUR;2006BE00178
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 i l’Agència 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/)
cat
dc.subject.classification
Matemàtica aplicada
dc.subject.other
Teoria de la bifurcació
ca
dc.title
Bifurcations of homoclinic tangency in two-dimensional area-preserving and reversible maps
ca
dc.type
info:eu-repo/semantics/report
ca
