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Title

INTEGRABILITY AND BIFURCATIONS OF LIMIT CYCLES IN A CUBIC KOLMOGOROV SYSTEM
Author

Li Feng
Journal / Anthology

International Journal of Bifurcation and Chaos
Year: 2013
Volume: 23
Issue: 4
Description

We investigate the planar cubic Kolmogorov systems with three invariant algebraic curves which have a equilibrium at (1, 1). With the help of computer algebra system Mathematica, we prove that five limit cycles can be bifurcated from a critical point in the first quadrant. Moreover, the necessary conditions of center are obtained, by technical transformation, and its sufficiencies are proved.
Subjects

*Mathematics
*Mathematics > Algebra
Keywords

Kolmogorov systems, center-focus problem, Lyapunov constant, limit circle