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Interesting and complex behaviour of Duffing equations within the frame of Caputo fractional operator    
Yazarlar
Doç. Dr. Esin İLHAN Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
The coupled system exemplifying the damped and driven oscillators (namely, Duffing equations) is examined with a familiar and robust numerical method. In the framework, we hired a reliable and most cited Caputo fractional operator to capture essential and stimulating behaviours of the hired physical model. The existence of the solution for the considered model is presented, and we captured the nature of the strange attractor for the Duffing equations with a period of the driving force. The effect of chaotic nature associated parameter is illustrated. The essence of generalizing the classical models is presented with plots, and associated consequences are demonstrated for the substantial time period.
Anahtar Kelimeler
Caputo fractional derivative | Duffing equations | chaotic behaviours | numerical method
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı PHYSICA SCRIPTA
Dergi ISSN 0031-8949
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 05-2022
Cilt No 97
Sayı 5
Sayfalar 1 / 13
Doi Numarası 10.1088/1402-4896/ac5ff5
Makale Linki https://doi.org/10.1088/1402-4896/ac5ff5