The Existence of a Polynomial Inverse Integrating Factors and Studies About the Limit Cycles for Cubic, Quartic and Quintic Polynomial Systems

Authors

Sadeq Taha Abdulazeez, University of DuhokFollow
Ahmed Muhammad Hussein, University of DuhokFollow

Abstract

The main aims of our study are the presence of reverse polynomial integration factors and studies about the limit cycles for real polynomial in two-dimensional autonomous system of the form: ��̇ = ∑∑����,��−���� ��=0 �� ��=0 ��������−�� = ����(��,��) ��̇ = ∑∑����,��−���� ��=0 �� ��=0 ��������−�� = ����(��,��) (1) Where ����(��,��) and ����(��,��) are polynomials of degree (��), �� = 3, 4 and 5.

Keywords

Limit cycles, Polynomials Inverse integrating factors, Polynomial systems.

Article Type

Article

How to Cite this Article

Abdulazeez, Sadeq Taha and Hussein, Ahmed Muhammad (2021) "The Existence of a Polynomial Inverse Integrating Factors and Studies About the Limit Cycles for Cubic, Quartic and Quintic Polynomial Systems," Baghdad Science Journal: Vol. 18: Iss. 2, Article 5.
DOI: https://doi.org/10.21123/bsj.2021.18.2.0322