![](https://conferences.su.edu.krd/wp-content/uploads/2022/11/ticma2022-11.png)
1, a) Rizgar H. Salih and Bashdar M. Mohammed 2, b)
1,2 Department of Mathematics, College of Basic Education,
University of Raparin, Raniyah, Kurdistan Region – Iraq.
DOI: https://doi.org/10.31972/ticma22.11
Abstract
This paper is devoted to studying the stability of the unique equilibrium point and the occurrence of the Hopf bifurcation as well as limit cycles of a three-dimensional chaotic system. We characterize the parameters for which a Hopf equilibrium point takes place at the equilibrium point. In addition, the system has only one equilibrium point which is E_0=(0,0,0). It was proved that E_0 is asymptotically stable and unstable when α<(-13)/7 and α>(-13)/7, respectively. Moreover, for studying the cyclicity of the system, two techniques are used which are dynamics on the center manifold and Liapunov quantities. It was shown that at most two limit cycles can be bifurcated from the origin. All the results presented in this paper have been verified by a program via Maple software.
Key Words: Chaotic System, Hopf Bifurcation Analysis, equilibrium point.
![](https://conferences.su.edu.krd/wp-content/uploads/2022/11/ticma2022-11.png)
ω_p-Open and ω_p-Closed Functions
Halgwrd Mohammed Darwesh1, a And Shagull Hossein Mahmood2, b
1,2 Department of Mathematics, College of Science, University of Sulaimani,
46001 Sulaimani, Kurdistan Region, Iraq
a) halgwrd.darwesh@univsul.edu.iq
b) shagull.mahmmod@univsul.edu.iq
DOI: https://doi.org/10.31972/ticma22.12
Abstract
In this 𝑤𝑜𝑟𝑘, we study and define two new concepts of functions named and functions by using the concepts of and ϲ𝑙𝑜𝑠𝑒𝑑 sets. The concept of function strictly located between both the concepts of and functions. We obtain a few properties of these functions, however, the connections between them are examined.
Key Words: ω_p-ϲlosed set, ω_p-open set, ω_p-continuous function, ω_p-closed function,ω_p-open function.
![](https://conferences.su.edu.krd/wp-content/uploads/2022/11/ticma2022-11.png)
Abdulghafoor Jasim. Salim1 Ali A. Asmael2
1,2Department of Mathematics, college of computer science and Mathematics, University of Mosul.
DOI: https://doi.org/10.31972/ticma22.13
Abstract
Key Words: Coding Theory, Projective Space, finite field.
![](https://conferences.su.edu.krd/wp-content/uploads/2022/11/ticma2022-11.png)
Hajir Hayder Abdullah1,a) and Nada Yassen Kasm Yahya2,b)
1Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul, Iraq
2Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul, Iraq
DOI: https://doi.org/10.31972/ticma22.14
Abstract
Key Words: Coding Theory, Projective Space, finite field.