Darboux Integrability of a Generalized 3D Chaotic Sprott ET9 System

Authors

Adnan Ali Jalal, Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq.Follow
Azad I. Amen, 2Department of Mathematics-College of basic educations, Salahaddin University, Erbil, Iraq.Follow
Nejmaddin A. Sulaiman, Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq.Follow

Abstract

In this paper, the first integrals of Darboux type of the generalized Sprott ET9 chaotic system will be studied. This study showed that the system has no polynomial, rational, analytic and Darboux first integrals for any value of . All the Darboux polynomials for this system were derived together with its exponential factors. Using the weight homogenous polynomials helped us prove the process.

Keywords

Analytic first integral, Darboux first integral, Darboux polynomial, Exponential factors.

Article Type

Article

How to Cite this Article

Jalal, Adnan Ali; Amen, Azad I.; and Sulaiman, Nejmaddin A. (2022) "Darboux Integrability of a Generalized 3D Chaotic Sprott ET9 System," Baghdad Science Journal: Vol. 19: Iss. 3, Article 2.
DOI: https://doi.org/10.21123/bsj.2022.19.3.0542