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CORR
2010
Springer
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13 years 11 months ago
Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
In this paper we study planar polynomial differential systems of this form: dX dt = X = A(X, Y ), dY dt = Y = B(X, Y ), where A, B Z[X, Y ] and deg A d, deg B d, A H and B H. ...
Guillaume Chèze
DCC
2007
IEEE
14 years 11 months ago
Planar polynomials for commutative semifields with specified nuclei
We consider the implications of the equivalence of commutative semifields of odd order and planar Dembowski-Ostrom polynomials. This equivalence was outlined recently by Coulter an...
Robert S. Coulter, Marie Henderson, Pamela Kosick