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http://hdl.handle.net/2080/650| 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 |
| URI: | http://hdl.handle.net/2080/650 |
| Appears in Collections: | Conference Papers |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| tnayak-conf1.pdf | 146.91 kB | Adobe PDF | View/Open |
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