Linearizability of 1

-3 resonant system with homogeneous cubic nonlinearities

Zhibek Kadyrsizova, Valery G. Romanovski

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008
Pages255-260
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008 - Linz, Hagenberg, Austria
Duration: Jul 20 2008Jul 23 2008

Other

Other21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008
CountryAustria
CityLinz, Hagenberg
Period7/20/087/23/08

Fingerprint

Linearizability
Homogeneous Polynomials
System of Differential Equations
Linearization
Nonlinearity
Sufficient
Necessary
Zero
Coefficient
Form

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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) 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.

Research output: Chapter in Book/Report/Conference proceedingConference 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. 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
Kadyrsizova Z, Romanovski VG. 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. 2008. p. 255-260 https://doi.org/10.1145/1390768.1390804
Kadyrsizova, Zhibek ; Romanovski, Valery G. / Linearizability of 1 : -3 resonant system with homogeneous cubic nonlinearities. ISSAC'08: Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008. 2008. pp. 255-260
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