We find the complete set of fundamental invariants for systems of ordinary differential equations of order >= 4 under the group of point transformations generalizing similar results for contact invariants of a single ODE and point invariants of systems of the second and the third order. It turns out that starting from systems of order (k + 1) >= 4, the complete set of fundamental invariants is formed by k generalized Wilczynski invariants coming from the linearized system and an additional invariant of degree 2.
Fundamental invariants of systems of ODEs of higher order
MEDVEDEV, Alexandr
2014-01-01
Abstract
We find the complete set of fundamental invariants for systems of ordinary differential equations of order >= 4 under the group of point transformations generalizing similar results for contact invariants of a single ODE and point invariants of systems of the second and the third order. It turns out that starting from systems of order (k + 1) >= 4, the complete set of fundamental invariants is formed by k generalized Wilczynski invariants coming from the linearized system and an additional invariant of degree 2.File in questo prodotto:
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