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On The Controlled Chaos of S-Iteration According to Lyapunov Exponent and Certain Control Mechanisms in Discrete Dynamical Systems   
Yazarlar (2)
Derya Sekman
Kırşehir Ahi Evran Üniversitesi, Türkiye
Vatan Karakaya
Yıldız Teknik Üniversitesi, Türkiye
Devamını Göster
Özet
In this paper, our aim is to establish the control mechanism of the iteration process defined as S-iteration in the literature. First of all, it is to determine the dynamics of a system with chaotic property under S- iteration. Afterward, we investigate the stability state of the chaotic sys-tem under this iteration with the parameters of the S-iteration. In addition, using the chaotic logistic system, we will illustrate the theoretical results in this example in the MATLAB program. Finally, we will examine the periodic state of the S-iteration and investigate the cases in which the pe-riodic behavior is stable or unstable of the S-iteration with the Lyapunov exponent.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Punjab University Journal of Mathematics
Dergi ISSN 1016-2526
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 10-2023
Cilt No 55
Sayfalar 253 / 267
Doi Numarası 10.52280/pujm.2023.55(7-8)01
Makale Linki http://pu.edu.pk/images/journal/maths/PDF/Paper_1_55_(7-8)_2023.pdf