Numerical solution of a multi-wing chaotic system with piecewise differential operators

Mehmet Akif Cetin\(^{a,∗}\), Selahattin Genc\(^b\), Metin Araz\(^c\)

\(^a\)ALTSO Vocational School, Alanya Alaaddin Keykubat University, Antalya, Turkey

\(^b\)Yakutiye Public Education center, Erzurum, Turkey

\(^c\)Siirt High School, Siirt, Turkey

Correspondence should be addressed to: akif.cetin@alanya.edu.tr, selahattingenc1980@gmail.com, maraz250@hotmail.com

Copyright © 2024 Mehmet Akif Cetin, Selahattin Genc, Metin Araz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: Received: : 01 January 2024 Accepted: 11 January 2024; Published Online: 23 January 2024.

Abstract

In this study, a multi-wing chaotic system with classical derivative has been studied. The conditions under which the existence and uniqueness of the solution of this chaotic system exist are examined. Afterwards, this chaotic system has been modified using fractional differential operators, and in this case the behavior of the multi-wing chaotic system has been investigated. Moreover, the newly introduced piecewise differential operators is included in such a chaotic system and the piecewise chaotic system is solved by using Newton polynomial approach. The numerical simulations of piecewise chaotic system are performed for fractional order.

Keywords:

Numerical scheme, multi-wing chaotic system, fractional calculus.