New Julia sets for complex Carotid–Kundalini function

The C–K function, generally called Carotid–Kundalini function, is given by z j+1 = cos ( N z j cos −1 ( z j )) + c. Taking c = (0, 0), Cooper has presented some interesting Julia sets for the C–K function. In this paper, we introduce a new process of generation for the C–K function, and obtain some...

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Bibliographic Details
Published in:	Chaos, solitons and fractals Vol. 36; no. 2; pp. 226 - 236
Main Authors:	Rani, Mamta, Negi, Ashish
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01-04-2008
Online Access:	Get full text
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Summary:	The C–K function, generally called Carotid–Kundalini function, is given by z j+1 = cos ( N z j cos −1 ( z j )) + c. Taking c = (0, 0), Cooper has presented some interesting Julia sets for the C–K function. In this paper, we introduce a new process of generation for the C–K function, and obtain some interesting variants of Julia sets generated by Cooper.
ISSN:	0960-0779 1873-2887
DOI:	10.1016/j.chaos.2006.06.058