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CORR
2010
Springer
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13 years 5 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 4 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