Nondegenerate centers and limit cycles of cubic Kolmogorov systems

Author:

Algaba Antonio,García Cristóbal,Giné JaumeORCID

Funder

Ministerio de Economía y Competitividad

Agència de Gestió d’Ajuts Universitaris i de Recerca

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference34 articles.

1. Bomze, I.: Lotka–Volterra equations and replicator dynamics: a two dimensional classification. Biol. Cybern. 48, 201–211 (1983)

2. Chavarriga, J., Giné, J.: Integrability of cubic systems with degenerate infinity. Differ. Equ. Dyn. Syst. 6(4), 425–438 (1998)

3. Chavarriga, J., Giné, J., García, I.A.: Isochronous centers of cubic systems with degenerate infinity. Differ. Equ. Dyn. Syst. 7, 221–238 (1999)

4. Chen, X., Huang, W., Romanovski, V.G., Zhang, W.: Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system. J. Comput. Appl. Math. 245, 86–96 (2013)

5. Cozma, D.: Darboux integrability and rational reversibility in cubic systems with two invariant straight lines. Electron. J. Differ. Equ. 23, 1–19 (2013)

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