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On the Butterfly Catastrophe Model and Stability of Finite Periodic Solutions for Some Non-Linear Differential Equations | ||
| Kirkuk Journal of Science | ||
| Article 4, Volume 18, Issue 1, 2023, Pages 31-34 PDF (190.25 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.32894/kujss.2023.136973.1089 | ||
| Author | ||
| Isam R. Faeq* | ||
| Computer Engineering Department, Technical College of Kirkuk, Northern, Kirkuk,iraq | ||
| Abstract | ||
| In this work, we find the results for the folded part projection of the butterfly catastrophe model onto the control space, using methods from catastrophe theory to obtain stability and the catastrophic behavior of finite periodic solutions for some non-linear differential equations. Finally, we have shown that a saddle-node bifurcation, which can be classified as a butterfly mutation, accompanies butterfly surface folding. | ||
| Keywords | ||
| Butterfly catastrophe model; butterfly type catastrophe; non-linear differential equations; limit cycles | ||
| References | ||
|
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