- Universal Journal of Mathematics and Applications
- Vol: 1 Issue: 3
- Explicit limit cycles of a class of Kolmogorov system
Explicit limit cycles of a class of Kolmogorov system
Authors : Salah Benyoucef, Ahmed Bendjeddou
Pages : 148-154
Doi:10.32323/ujma.425056
View : 15 | Download : 8
Publication Date : 2018-09-30
Article Type : Research
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