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
Subtitle of host publicationProceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008
Pages255-260
Number of pages6
DOIs
Publication statusPublished - Dec 16 2008
Externally publishedYes
Event21st Annual Meeting of the International Symposium on Symbolic Computation, ISSAC 2008 - Linz, Hagenberg, Austria
Duration: Jul 20 2008Jul 23 2008

Publication series

NameProceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

Other

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

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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