Details:
Title  Automatic classification of normal forms  Author(s)  Karin Gatermann, Reiner Lauterbach  Text  K. Gatermann and R. Lauterbach (1995) Automatic classification of normal
forms. KonradZuseZentrum. Preprint SC 953. To appear in Nonlinear Analysis, Theory, Methods and Applications.  Type  Technical Report, Misc  Abstract  The aim of this paper is to demonstrate a specific application of
Computer Algebra to bifurcation theory with symmetry. The classification of different bifurcation phenomena in case of several parameters is automated, based on a classification of Grobner bases of possible tangent spaces. The computations are performed in new coordinates of fundamental invariants and fundamental equivariants, with the induced weighted ordering. In order to justify the approach the theory of intrinsic modules is applied. Results for the groups D 3 ; Z 2 ; and Z 2 Theta Z 2 demonstrate that the algorithm works independent of the group and that new results are obtained.  Keywords  bifurcation theory, singularity theory, symmetry, systems
with several
parameters, Computer Algebra, Grobner bases 
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 Language  English  Year  1995  Translation 
No  Refereed 
No 
