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dc.contributor.authorMalonza, D. M.
dc.date.accessioned2014-08-01T12:15:45Z
dc.date.available2014-08-01T12:15:45Z
dc.date.issued2004
dc.identifier.citationJournal of Nonlinear Mathematical Physics Volume 11, Issue 3, 2004en_US
dc.identifier.issn1402-9251
dc.identifier.urihttp://www.tandfonline.com/doi/pdf/10.2991/jnmp.2004.11.3.8
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/10836
dc.descriptionDOI: 10.2991/jnmp.2004.11.3.8en_US
dc.description.abstractThe set of systems of differential equations that are in normal form with respect to a particular linear part has the structure of a module of equivariants, and is best described by giving a Stanley decomposition of that module. In this paper Groebner basis methods are used to determine a Groebner basis for the ideal of relations and a Stanley decomposition for the ring of invariants that arise in normal forms for Takens-Bogdanov systems. An algorithm developed by Murdock, is then used to produce a Stanley decomposition for the (normal form module) module of the equivariants from the Stanley decomposition for the ring of invariants.en_US
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.titleNormal Forms for Coupled Takens-Bogdanov Systemsen_US
dc.typeArticleen_US


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