The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system

DOI10.1016/j.amc.2013.06.007zbMath1329.34064OpenAlexW1980204283MaRDI QIDQ902471

Valery G. Romanovski, Jaume Giné, Diana Dolićanin-Đekić, Regilene D. S. Oliveira

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.007

zbMATH Keywords

Lotka-Volterra systemsfirst integralresonant center problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10)

Related Items

The solution of the \(1:-3\) resonant center problem in the quadratic case ⋮ Integrability of fractional order generalized systems with \(p:-q\) resonance ⋮ The center problem for a \({1:-4}\) resonant quadratic system ⋮ The integrability of a class of cubic Lotka-Volterra systems ⋮ Integrability and linearizability for Lotka-Volterra systems with the \(3 : -q\) resonant saddle point ⋮ The complexity of generalized center problem ⋮ Integrability and generalized center problem of resonant singular point

Uses Software

• SINGULAR
• primdec

Cites Work

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• The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System
• The Center and Cyclicity Problems
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