New multi-scroll attractors obtained via Julia set mapping

Abdon Atangana, Ghaith Bouallegue and Kais Bouallegue

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: The Cobra attractor have attracted very recently and the model has been investigated using classical differential operators with integer and non-integer order. The model, in the case of fractional differential operator, is able to replicate indeed the Cobra for some values of fractional order. On the other hand, Julia set has been used for many purposes, in this paper; we develop a procedure that combines some chaotic attractors with the Julia set mapping to obtain multi-roll attractors. Using our algorithm, we obtained for the first time a lung of human being.

Keywords: Julia set mapping; Cobra attractor; Chua attractor; New attractors; Lung model (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301247

DOI: 10.1016/j.chaos.2020.109722

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