Adelaide Research & Scholarship
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https://hdl.handle.net/2440/24117
| Type: | Journal article |
| Title: | Guide expansions for the recursive parametric solution of polynomial dynamical systems |
| Author: | Duff, G. Leipnik, R. Pearce, C. |
| Citation: | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2006; 47(3):387-396 |
| Publisher: | Australian Mathematical Society |
| Issue Date: | 2006 |
| ISSN: | 1446-1811 |
| Statement of Responsibility: | G. F. D. Duff ; R. B. Leipnik ; C. E. M. Pearce |
| 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 first-order driven linear ODE systems with variable coefficients. We consider Lotka-Volterra systems as an example. |
| Keywords: | guide expansions general series solutions core functions |
| Description: | © Australian Mathematics Society, 2006. |
| Published version: | http://www.austms.org.au/Publ/ANZIAM/V47P3/2364.html |
| Appears in Collections: | Applied Mathematics publications Aurora harvest 6 |
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