Explicit limit cycles of a class of Kolmogorov system

Year 2018, , 148 - 154, 30.09.2018

Salah Benyoucef , Ahmed Bendjeddou

https://doi.org/10.32323/ujma.425056

Abstract

A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them explicit expressions.

Keywords

Kolmogorov differential system, Invariant curve, Periodic solution, Hyperbolic limit cycle

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