Guide expansions for the recursive parametric solution of polynomial dynamical systems

dc.contributor.authorDuff, G.
dc.contributor.authorLeipnik, R.
dc.contributor.authorPearce, C.
dc.date.issued2006
dc.description© Australian Mathematics Society, 2006.
dc.description.abstractRecursive parametric series solutions are developed for polynomial ODE systems, based on expanding the system components in series of a form studied by Weiss. Individual terms involve first-order driven linear ODE systems with variable coefficients. We consider Lotka-Volterra systems as an example.
dc.description.statementofresponsibilityG. F. D. Duff ; R. B. Leipnik ; C. E. M. Pearce
dc.identifier.citationAustralia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2006; 47(3):387-396
dc.identifier.issn1446-1811
dc.identifier.urihttp://hdl.handle.net/2440/24117
dc.language.isoen
dc.publisherAustralian Mathematical Society
dc.source.urihttp://www.austms.org.au/Publ/ANZIAM/V47P3/2364.html
dc.subjectguide expansions
dc.subjectgeneral series solutions
dc.subjectcore functions
dc.titleGuide expansions for the recursive parametric solution of polynomial dynamical systems
dc.typeJournal article
pubs.publication-statusPublished

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