On the Butterfly Catastrophe Model and Stability of Finite Periodic Solutions for Some Non-Linear Differential Equations

Faeq, Isam R.

doi:10.32894/kujss.2023.136973.1089

On the Butterfly Catastrophe Model and Stability of Finite Periodic Solutions for Some Non-Linear Differential Equations

Document Type : Research Paper

Author

Isam R. Faeq

Computer Engineering Department, Technical College of Kirkuk, Northern, Kirkuk,iraq

10.32894/kujss.2023.136973.1089

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

Subjects

Differential equation

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