Guide expansions for the recursive parametric solution of polynomial dynamical systems

• Autores: R. B. Leipnik, G. F. D. Duff, C. E. M. Pearce
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 47, Nº 3, 2006, págs. 387-396
• Idioma: inglés
• DOI: 10.1017/s1446181100009901
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• Resumen

  • 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.