9 search results - page 1 / 2 » Computation of Darboux polynomials and rational first integr... |
CORR
2010
Springer
13 years 5 months ago
2010
Springer
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. ...
CASC
2005
Springer
13 years 10 months ago
2005
Springer
Abstract. We propose exact, complete and efficient methods for 2 problems: First, the real solving of systems of two bivariate rational polynomials of arbitrary degree. This means ...
CORR
2010
Springer
12 years 12 months ago
2010
Springer
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
ISSAC
2001
Springer
13 years 9 months ago
2001
Springer
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the inp...
JC
2006
13 years 4 months ago
2006
We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential s...