Duff, G.Leipnik, R.Pearce, C.2007-01-172007-01-172006Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2006; 47(3):387-3961446-1811http://hdl.handle.net/2440/24117© Australian Mathematics Society, 2006.Recursive 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.enguide expansionsgeneral series solutionscore functionsJournal article00200604320002366316000062-s2.0-3374855403352980