IJPAM: Volume 103, No. 3 (2015)
A CLASS OF KOLMOGOROV SYSTEM WITH
EXACT ALGEBRAIC LIMIT CYCLES
EXACT ALGEBRAIC LIMIT CYCLES
S. Benyoucef
, A. Bendjeddou
Department of Mathematics
Faculty of Sciences
University of 20 août
1955, Skikda, ALGERIA
Department of Mathematics
University of Setif 1
19 000, ALGERIA



Faculty of Sciences
University of 20 août
1955, Skikda, ALGERIA

University of Setif 1
19 000, ALGERIA
Abstract. A class of Kolmogorov differential system is introduced, we show that under
suitable assumptions, one, two or four algebraic limit cycles can occur,
these limit cycles are analytically given.
Received: April 21, 2015
AMS Subject Classification: 34C25, 34C05
Key Words and Phrases: Kolmogorov differential systems, invariant curves, periodic solutions, algebraic limit cycles
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DOI: 10.12732/ijpam.v103i3.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 3
Pages: 439 - 451
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This work is licensed under the Creative Commons Attribution International License (CC BY).