TY - GEN
T1 - Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities
AU - Kadyrsizova, Zhibek
AU - Romanovski, Valery G.
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
N2 - We study the systems of differential equations of the form ẋ = x + p(x, y), ẏ; = -3y + q(x, y), where p and q are homogeneous polynomials of degree three (either of which may be zero). The necessary and sufficient coefficient conditions for linearization of such systems are obtained.
AB - We study the systems of differential equations of the form ẋ = x + p(x, y), ẏ; = -3y + q(x, y), where p and q are homogeneous polynomials of degree three (either of which may be zero). The necessary and sufficient coefficient conditions for linearization of such systems are obtained.
KW - Normal forms
KW - Ordinary differential equations
KW - Polynomial ideals
KW - The center and linearizability problems
UR - http://www.scopus.com/inward/record.url?scp=57449121359&partnerID=8YFLogxK
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U2 - 10.1145/1390768.1390804
DO - 10.1145/1390768.1390804
M3 - Conference contribution
AN - SCOPUS:57449121359
SN - 9781595939043
T3 - Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
SP - 255
EP - 260
BT - ISSAC'08
T2 - 21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008
Y2 - 20 July 2008 through 23 July 2008
ER -