Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities

Zhibek Kadyrsizova; Valery G. Romanovski

doi:10.1145/1390768.1390804

Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities

Zhibek Kadyrsizova, Valery G. Romanovski

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	ISSAC'08
Subtitle of host publication	Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008
Pages	255-260
Number of pages	6
DOIs	https://doi.org/10.1145/1390768.1390804
Publication status	Published - 2008
Externally published	Yes
Event	21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008 - Linz, Hagenberg, Austria Duration: Jul 20 2008 → Jul 23 2008

Publication series

Name	Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

Other

Other	21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008
Country	Austria
City	Linz, Hagenberg
Period	7/20/08 → 7/23/08

Keywords

Normal forms
Ordinary differential equations
Polynomial ideals
The center and linearizability problems

ASJC Scopus subject areas

Mathematics(all)

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10.1145/1390768.1390804

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Kadyrsizova, Z., & Romanovski, V. G. (2008). Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities. In ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008 (pp. 255-260). (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC). https://doi.org/10.1145/1390768.1390804

Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities. / Kadyrsizova, Zhibek; Romanovski, Valery G.

ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008. 2008. p. 255-260 (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kadyrsizova, Z & Romanovski, VG 2008, Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities. in ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008. Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, pp. 255-260, 21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008, Linz, Hagenberg, Austria, 7/20/08. https://doi.org/10.1145/1390768.1390804

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abstract = "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.",

keywords = "Normal forms, Ordinary differential equations, Polynomial ideals, The center and linearizability problems",

author = "Zhibek Kadyrsizova and Romanovski, {Valery G.}",

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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.

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KW - Ordinary differential equations

KW - Polynomial ideals

KW - The center and linearizability problems

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Linearizability of 1:-3 resonant system with homogeneous cubic nonlinearities

Abstract

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Other

Keywords

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