The resonant center problem for a 2:-3 resonant cubic lotka–volterra system

Jaume Giné, Colin Christopher, Mateja Prešern, Valery G. Romanovski, Natalie L. Shcheglova

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Citations (Scopus)

Abstract

Using tools of computer algebra we derive the conditions for the cubic Lotka–Volterra system ẋ = x(2 − a20x2 − a11xy − a02y2), ẏ = y(−3+b20x2 + b11xy + b02y2) to be linearizable and to admit a first integral of the form Φ(x, y) =x3y2 + ··· in a neighborhood of the origin, in which case the origin is called a 2: −3 resonant center.

Original languageEnglish
Title of host publicationComputer Algebra in Scientific Computing. CASC 2012
EditorsVladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov
PublisherSpringer
Pages129-142
Number of pages14
ISBN (Electronic)9783642329739
ISBN (Print)9783642329722
DOIs
Publication statusPublished - 2012
Event14th International Workshop on Computer Algebra in Scientific Computing 2012 - Maribor, Slovenia
Duration: 3 Sept 20126 Sept 2012

Publication series

NameLecture Notes in Computer Science
Volume7442
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference14th International Workshop on Computer Algebra in Scientific Computing 2012
Abbreviated titleCASC 2012
Country/TerritorySlovenia
CityMaribor
Period3/09/126/09/12

Keywords

  • First integral
  • Polynomial systems of differential equations
  • Resonant center problem

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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