Darboux Integrability of a 3D Symmetric Chaotic System with Non-Isolated Equilibria

Authors

  • Wirya Jawhar Jameel Department of Mathematics, College of Education, University of Salahaddin, Erbil, Iraq
  • Adnan Ali Jalal Department of Mathematics, College of Education, University of Salahaddin, Erbil, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2025.17.42568

Keywords:

Chaotic systems, Darboux polynomials

Abstract

In this paper, we study the Darboux-type first integrals of the three-dimensional polynomial dynamical system defined by the equations 

This system exhibits chaotic behavior for suitably selected values of the real parameters α and β. We demonstrate that the system has no polynomial, rational, or Darboux first integrals for any values of α and β. Furthermore, we derive all Darboux polynomials associated with the system, in conjunction with their corresponding exponential factors

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References

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Published

2025-12-30

How to Cite

Jameel, W. J., & Jalal , A. A. (2025). Darboux Integrability of a 3D Symmetric Chaotic System with Non-Isolated Equilibria. Journal of Al-Qadisiyah for Computer Science and Mathematics, 17(4), Math. 42–52. https://doi.org/10.29304/jqcsm.2025.17.42568

Issue

Vol. 17 No. 4 (2025): JQCM

Section

Math Articles

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Copyright (c) 2025 Wirya Jawhar Jameel, Adnan Ali Jalal

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