Ring of Invariants Systems with Linear Part N (3)n
Malonza, D. M.
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The problem of describing the normal form of a system of differential equations at equilibrium with nilpotent linear part is solvable once the ring of invariants associated to the system is known. Our concern in this paper is to describe ring of invariants of differential system with nilpotent linear part made up of n33 Jordan blocks which is best described by giving the Stanley decomposition of the ring. An algorithm based on the notion of transvectants from classical invariant theory is used to determine the Stanley decomposition for the ring of invariants for the coupled systems when the Stanley decompositions of the Jordan blocks of the linear part are known at each stage.