Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model

Author:

Du Chaoxiong,Huang Wentao

Publisher

Springer Science and Business Media LLC

Subject

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

Reference8 articles.

1. Baratta, A., Zuccaro, G.: Analysis of nonlinear oscillators under stochastic excitation by the Fokker–Planck–Kolmogorov equation. Nonlinear Dyn. 5, 255–271 (1994)

2. Saez, E., Szanto, I.: Limit cycles of a cubic Kolmogorov system. Appl. Math. Lett. 9, 15–18 (1996)

3. Du, C.: The bifurcation of limit cycles for a class of cubic Kolmogorov system. Chin. J. Eng. Math. 24, 746–752 (2007)

4. Lloyd, N.G.: A cubic Kolmogorov system with six limit cycles. Comput. Math. Appl. 44, 445–455 (2002)

5. Huang, X., Zhu, L.: Limit cycles in a general Kolmogorov model. Nonlinear Anal. 60, 1394–1414 (2005)

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