Normal forms for coupled takens-bogdanov systems

Malonza, David M.

dc.contributor.author	Malonza, David M.
dc.date.accessioned	2025-08-18T09:25:04Z
dc.date.available	2025-08-18T09:25:04Z
dc.date.issued	2004-04-27
dc.identifier.citation	Journal of nonlinear mathematical physics, volume 11, issue 3, 376–398 pp, 2004	en_US
dc.identifier.issn	1776-0852
dc.identifier.uri	https://www.tandfonline.com/doi/pdf/10.2991/jnmp.2004.11.3.8
dc.identifier.uri	http://repository.seku.ac.ke/xmlui/handle/123456789/8131
dc.description	DOI: 10.2991/jnmp.2004.11.3.8	en_US
dc.description.abstract	The 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 TakensBogdanov 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.iso	en	en_US
dc.publisher	Taylor and Francis	en_US
dc.title	Normal forms for coupled takens-bogdanov systems	en_US
dc.type	Article	en_US