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Guide expansions for the recursive parametric solution of polynomial dynamical systems

Published online by Cambridge University Press:  17 February 2009

G. F. D. Duff ,
R. B. Leipnik  and
C. E. M. Pearce
G. F. D. Duff
Affiliation:
deceased, formerly of the Department of Mathematics, University of Toronto.
R. B. Leipnik
Affiliation:
Mathematics Department, University of California, Santa Barbara, CA 93106–3080, USA; e-mail: leipnik@math.ucsb.edu.
C. E. M. Pearce
Affiliation:
School of Mathematical Sciences, The University of Adelaide, Adelaide SA 5005, Australia; e-mail: charles.pearce@adelaide.edu.au.
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Abstract

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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 expansionsgeneral series solutionscore functions.
Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 3 , January 2006 , pp. 387 - 396
Copyright
Copyright © Australian Mathematical Society 2006

References

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