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Multiparameter bifurcation and stability of solutions at a double eigenvalue

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dc.contributor.author Bari, Rehana
dc.date.accessioned 2010-10-14T10:25:53Z
dc.date.available 2010-10-14T10:25:53Z
dc.date.issued 2004
dc.identifier.uri http://hdl.handle.net/10361/521
dc.description.abstract This paper deals with some problems of bifurcation theory for general non-linear eigenvalue prob-lem for 2-dimensional parameter space. An explicit analysis of the bifurcation for 2-dimensional parameter space is done and the structure of the non-trivial solution branches of the bifurcation equation near origin is given. Since the study of the bifurcation problem is closely related to change in the qualitative behaviour of the systems, and to exchange of stability, analysis of the stability of the bifurcating solutions is done here. It is proved that the stability of the bifurcating solutions is de-termined, to the lowest non-vanishing order, by the eigenvalues of the Fréchet derivative of the re-duced bifurcation equation. en_US
dc.language.iso en en_US
dc.publisher BRAC University en_US
dc.relation.ispartofseries BRAC University Journal, BRAC University;Vol.1, No.2,pp. 115-122
dc.subject Non-linear eigenvalue problem en_US
dc.subject Bifurcating solutions en_US
dc.subject Linearised operator en_US
dc.subject Lyapunov-Schmidt method en_US
dc.subject Stability en_US
dc.title Multiparameter bifurcation and stability of solutions at a double eigenvalue en_US
dc.type Article en_US


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