## A cubic Kolmogorov system with six limit cycles.(English)Zbl 1210.34048

The paper is devoted to a class of cubic Kolmogorov systems, where at most six small amplitude limit cycles can bifurcate from singular point in the first quadrant. The Reduce and Maple computer systems were used for the calculation of the focal values. There are also some conclusions about the number of invariant lines.

### MSC:

 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations

Maple
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### References:

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