ANZIAM J.
47 (2006), 387396

Guide expansions for the recursive parametric solution of polynomial dynamical systems

G. F. D. Duff
deceased
formerly of the Department of Mathematics
University of Toronto


R. B. Leipnik
Mathematics Department
University of California
Santa Barbara
CA 931063080
USA
leipnik@math.ucsb.edu





Abstract

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
firstorder driven linear ODE systems with
variable coefficients. We consider LotkaVolterra
systems as an example.

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