Integrability of fractional order generalized systems with \(p:-q\) resonance

DOI10.1016/j.chaos.2014.06.006zbMath1349.34035OpenAlexW2144631979MaRDI QIDQ340495

Tianlong Gu, Wen-tao Huang, Hui Li Li

Publication date: 14 November 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.06.006

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Cites Work

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• The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems
• An approach to solving systems of polynomials via modular arithmetics with applications
• Integrability of Lotka-Volterra type systems of degree 4
• Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio
• The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system
• Integrability conditions for Lotka-Volterra planar complex quintic systems
• The generalized center problem of degenerate resonant singular point
• Generalized singular point quantity and integrability of degenerate resonant singular point
• Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
• Integrability and linearizability of the Lotka-Volterra systems.
• \(1: - 3\) resonant centers on \(\mathbb{C}^2\) with homogeneous cubic nonlinearities
• Linearizability of the polynomial differential systems with a resonant singular point
• On the center problem for \(p:-q\) resonant polynomial vector fields

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