Analytical integrability problem for perturbations of cubic Kolmogorov systems

DOI10.1016/j.chaos.2018.05.011zbMath1404.37021OpenAlexW2803235445MaRDI QIDQ1755301

Antonio Algaba, Cristóbal García, Manuel Reyes

Publication date: 9 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.05.011

zbMATH Keywords

linearizationintegrabilityKolmogorov systemsinverse integrating factors

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10)

Related Items (6)

Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree ⋮ Analytic partial-integrability of a symmetric Hopf-zero degeneracy ⋮ Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system ⋮ Analytical integrability of perturbations of quadratic systems ⋮ Quasi-homogeneous linearization of degenerate vector fields ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems

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