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Title: Siegel Discs in Complex Dynamics
Authors: Nayak, T
Guru Prem Prasad, M
Keywords: Complex Dynamical System
Siegel Disk
Fatou Set
Issue Date: 2005
Publisher: Aligarh Musilim University, India
Citation: Proceedings of The Second National Conference on Non-linear Systems and Dynamics, (NCNSD-2005), P 202-206, Aligarh Muslim University, Aligarh, February 24-26, 2005
Abstract: In the study of Complex Dynamical Systems, the evolution of the system is realized by the iteration of complex functions f : C ! ^C. The subset of C where ffngn>0 forms a normal family (in the sense of Montel) is called Fatou set of f. Certain kind of Fatou component, namely siegel disc have been discussed in this article. A siegel disc is shown to be a disjoint union of invariant curves. It is also shown that all limit functions of ffngn>0 are non-constant. Certain functions not having siegel discs in their Fatou set have been characterized.
Description: Copyright for the paper belongs to Proceedings publisher
Appears in Collections:Conference Papers

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