Explicit limit cycles of a class of Kolmogorov system

Salah Benyoucef; Ahmed Bendjeddou

doi:10.32323/ujma.425056

EN

Explicit limit cycles of a class of Kolmogorov system

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Salah Benyoucef ^*
Algeria

Ahmed Bendjeddou This is me
Algeria

Publication Date

September 30, 2018

Submission Date

May 18, 2018

Acceptance Date

September 16, 2018

Published in Issue

Year 2018 Volume: 1 Number: 3

DOI

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

IZ

https://izlik.org/JA79TY83UX

APA

Benyoucef, S., & Bendjeddou, A. (2018). Explicit limit cycles of a class of Kolmogorov system. Universal Journal of Mathematics and Applications, 1(3), 148-154. https://doi.org/10.32323/ujma.425056

AMA

1.Benyoucef S, Bendjeddou A. Explicit limit cycles of a class of Kolmogorov system. Univ. J. Math. Appl. 2018;1(3):148-154. doi:10.32323/ujma.425056

Chicago

Benyoucef, Salah, and Ahmed Bendjeddou. 2018. “Explicit Limit Cycles of a Class of Kolmogorov System”. Universal Journal of Mathematics and Applications 1 (3): 148-54. https://doi.org/10.32323/ujma.425056.

EndNote

Benyoucef S, Bendjeddou A (September 1, 2018) Explicit limit cycles of a class of Kolmogorov system. Universal Journal of Mathematics and Applications 1 3 148–154.

IEEE

[1]S. Benyoucef and A. Bendjeddou, “Explicit limit cycles of a class of Kolmogorov system”, Univ. J. Math. Appl., vol. 1, no. 3, pp. 148–154, Sept. 2018, doi: 10.32323/ujma.425056.

ISNAD

Benyoucef, Salah - Bendjeddou, Ahmed. “Explicit Limit Cycles of a Class of Kolmogorov System”. Universal Journal of Mathematics and Applications 1/3 (September 1, 2018): 148-154. https://doi.org/10.32323/ujma.425056.

JAMA

1.Benyoucef S, Bendjeddou A. Explicit limit cycles of a class of Kolmogorov system. Univ. J. Math. Appl. 2018;1:148–154.

MLA

Benyoucef, Salah, and Ahmed Bendjeddou. “Explicit Limit Cycles of a Class of Kolmogorov System”. Universal Journal of Mathematics and Applications, vol. 1, no. 3, Sept. 2018, pp. 148-54, doi:10.32323/ujma.425056.

Vancouver

1.Salah Benyoucef, Ahmed Bendjeddou. Explicit limit cycles of a class of Kolmogorov system. Univ. J. Math. Appl. 2018 Sep. 1;1(3):148-54. doi:10.32323/ujma.425056