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Zastosowanie metod niezmienniczej analizy nieliniowej do badania istnienia i bifurkacji centralnych konfiguracji pewnych zagadnień mechaniki nieba

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dc.contributor.author Kowalczyk, Marta
dc.date.accessioned 2018-05-15T10:04:42Z
dc.date.available 2018-05-15T10:04:42Z
dc.date.issued 2017
dc.identifier.uri http://repozytorium.umk.pl/handle/item/5201
dc.description.abstract We study topological bifurcations of critical orbits of equivariant gradient equations. We give necessary and sufficient conditions for the existence of global bifurcations of solutions of these equations. Moreover, we apply these abstract results to the study of bifurcations of new families of planar and spatial central configurations of the N-body problem. It is worth pointing out that the shapes of the bifurcating families are less symmetrical than the shapes of the considered families of planar and spatial central configurations.
dc.language.iso pol
dc.rights Attribution-NoDerivs 3.0 Poland
dc.rights info:eu-repo/semantics/openAccess
dc.rights.uri http://creativecommons.org/licenses/by-nd/3.0/pl/
dc.subject N-body problem
dc.subject Bifurcations of critical orbits
dc.subject Equivariant potentials
dc.subject Central configurations
dc.subject Spatial central configurations
dc.subject Nested polyhedra
dc.title Zastosowanie metod niezmienniczej analizy nieliniowej do badania istnienia i bifurkacji centralnych konfiguracji pewnych zagadnień mechaniki nieba
dc.type info:eu-repo/semantics/doctoralThesis
dc.contributor.supervisor Rybicki, Sławomir


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