Computer Algebra Programs for Dynamical Systems Theory
This is a description of the current state of that part of the program outlined in , that is concerned with the development of Computer Algebra tools for the analysis of dynamical systems. At the moment there is only one program generally accessible (i.e. published) which fits into this context. It deals with nonlinear near identity transformations  and can thus be used to determine center manifolds and normal forms. We present here two additional programs in MACSYMA which do averaging for nonautonomous o.d.e’s and which do a Lyapunov — Schmidt reduction for a steady state bifurcation, respectively. Further programs implementing various perturbation methods, Lie-series and a more general Lyapunov — Schmidt reduction which allows to treat some classes of p.d.e’s will be published in .
KeywordsCenter Manifold Bifurcation Parameter Order Average Dynamical System Theory Identity Transformation
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