The Stability and Catastrophic Behavior of Finite Periodic Solutions in Non-Linear Differential Equations

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Published: Dec 25, 2023
DOI: https://doi.org/10.25130/tjps.v28i6.1382
Keywords:
Fold catastrophe model, Butterfly type catastrophe, Non-linear differential equations, Periodic solutions.

Main Article Content

Isam R. Faeq
Computer Engineering Techniques Department, Technical Engineering College-Kirkuk, Northern Technical University, Kirkuk, Iraq.
Shwan O. Abdalrahman
Technical Administration Department, Technical College of Administration, Sulaimani Polytechnic University, Sulaimani, Kurdistan Region, Iraq.

Abstract

This study focuses on the stability and catastrophic behavior of finite periodic solutions in non-linear differential equations. The occurrence of folding surfaces and their relationship with saddle-node bifurcations are explored, being classified as fold and butterfly types of catastrophes. Additionally, the application of catastrophe theory is discussed to analyze the qualitative changes in solutions with the change in system parameters.

Article Details

How to Cite
Faeq, I. R., & Abdalrahman, S. O. (2023). The Stability and Catastrophic Behavior of Finite Periodic Solutions in Non-Linear Differential Equations . Tikrit Journal of Pure Science, 28(6), 146–152. https://doi.org/10.25130/tjps.v28i6.1382
Issue
Vol. 28 No. 6 (2023)
Section
Articles
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Author Biographies

Isam R. Faeq, Computer Engineering Techniques Department, Technical Engineering College-Kirkuk, Northern Technical University, Kirkuk, Iraq.

 

 

Shwan O. Abdalrahman, Technical Administration Department, Technical College of Administration, Sulaimani Polytechnic University, Sulaimani, Kurdistan Region, Iraq.

 

 

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