Exploding Julia sets in the dynamics of $ f_{\lambda}(z)=\lambda J_{1}(iz)/iz

Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/649

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DC Field	Value	Language
dc.contributor.author	Guru Prem Prasad, M	-
dc.contributor.author	Nayak, T	-
dc.contributor.author	Roy, A K	-
dc.date.accessioned	2008-03-21T06:00:09Z	-
dc.date.available	2008-03-21T06:00:09Z	-
dc.date.issued	2006	-
dc.identifier.citation	Proceedings of the Third National Conference on Non-linear Systems and Dynamics, (NCNSD-2006), Ramanujan Institute for Advanced Study in Mathematics, University of Madras, February 6-8, 2006, P 171-174	en
dc.identifier.uri	http://hdl.handle.net/2080/649	-
dc.description	Copyright for the paper belongs to Proceedings Publisher	en
dc.description.abstract	In the present paper, we study the dynamics of the one parameter family of entire functions ff¸(z) = ¸f(z) : f(z) = J1(iz)=iz for z 2 C and ¸ is a non-zero real numberg where J1(z) is the Bessel function of the first kind of order one. We have found a critical parameter ¸¤ ¼ 2:598 and show that the Julia set of f¸ is a nowhere dense subset of the complex plane C for 0 < j¸j · ¸¤ and is equal to extended complex plane bC = C[f1g for j¸j > ¸¤. This sudden change in the Julia sets is known as explosion in the Julia sets or chaotic burst in the dynamics.	en
dc.format.extent	240545 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Allied Publishers	en
dc.subject	Complex Dynamics	en
dc.subject	Julia Set	en
dc.subject	Chaotic Set	en
dc.title	Exploding Julia sets in the dynamics of $ f_{\lambda}(z)=\lambda J_{1}(iz)/iz	en
dc.type	Article	en
Appears in Collections:	Conference Papers

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