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Symbolic Approach to Perturbed Non-Linear Dynamical Systems

Bruno Autin
Organization: MathSoft Overseas

K. H. Becks
D. Perret-Gallix
Journal / Anthology

New Computing Techniques in Physics Research III
Year: 1994
Page range: 651-656

A dynamical system is, in its most general form, described by a system of six coupled first order differential equations which cannot be solved rigorously. An approximate solution is nevertheless possible and fruitful using a perturbation method which can be decomposed in two steps: the conversion of the original system into sub-systems characteristic of the order at which the perturbation is treated, then the recursive integration of the various sub-systems. The method of time-dependent perturbations has been adopted.

*Mathematics > Calculus and Analysis > Dynamical Systems