Explicit limit cycles of a class of Kolmogorov system

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Universal Journal of Mathematics and Applications
Volume: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 : 30 | Download : 9

Publication Date : 2018-09-30

Article Type : Research Paper

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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