TY - JOUR
T1 - An approach to solving systems of polynomials via modular arithmetics with applications
AU - Romanovski, Valery G.
AU - Presern, Mateja
N1 - Funding Information:
VR acknowledges the support by the Slovenian Research Agency, the Nova Kreditna Banka Maribor, the TELEKOM Slovenije, and the Transnational Access Programme at RISC-Linz of the European Commission Framework 6 Programme for Integrated Infrastructures Initiatives under the project SCIEnce (Contract No. 026133) and thanks professors Elizabeth Arnold, Masayuki Noro and Kazuhiro Yokoyama for fruitful discussions on the subject of the paper.
PY - 2011/8/15
Y1 - 2011/8/15
N2 - The objective of this paper is twofold. First, we describe a method to solve large systems of polynomial equations using modular arithmetics. Then, we apply the approach to the study of the problem of linearizability for a quadratic system of ordinary differential equations.
AB - The objective of this paper is twofold. First, we describe a method to solve large systems of polynomial equations using modular arithmetics. Then, we apply the approach to the study of the problem of linearizability for a quadratic system of ordinary differential equations.
KW - Decomposition of affine varieties
KW - Linearizability of ODEs
KW - Polynomial systems of ODEs
UR - http://www.scopus.com/inward/record.url?scp=80051549283&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2011.06.018
DO - 10.1016/j.cam.2011.06.018
M3 - Article
AN - SCOPUS:80051549283
SN - 0377-0427
VL - 236
SP - 196
EP - 208
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 2
ER -