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Your search keyword '"Polarization of an algebraic form"' showing total 2 results
Start Over Descriptor "Polarization of an algebraic form" Journal applied mathematics letters
2 results on '"Polarization of an algebraic form"'

1. A remark on the stabilization of homogeneous polynomial systems

Author

R. Outbib and H. Jghima

Subjects
Discrete mathematics, Polynomial, Factor theorem, Applied Mathematics, Polarization of an algebraic form, Stabilization, Polynomial systems, Matrix polynomial, Properties of polynomial roots, TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES, Homogeneous systems, Stable polynomial, Homogeneous polynomial, Kharitonov's theorem, Mathematics
Abstract

The purpose of this note is to re-establish, with a new and simple proof, a theorem which in fact represents the main results of [1].

Published
1996
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2. Algebraic invariant curves and the integrability of polynomial systems

Author

Robert E. Kooij and Colin Christopher

Subjects
Pure mathematics, Discriminant, Homogeneous polynomial, Applied Mathematics, Mathematical analysis, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Polarization of an algebraic form, Bracket polynomial, Algebraic function, Monic polynomial, Mathematics, Matrix polynomial, Algebraic element
Abstract

In this note, we study the relation between the existence of algebraic invariants and integrability for planar polynomial systems. It is proved, under certain genericity conditions, that if the sum of the degrees of the algebraic invariants exceeds the degree of the polynomial system by one, then the system is integrable.

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