Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit
| Autor: | Waqas Nazeer, Xiaorui Guo, Muhammad Tanveer, Dong Li |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematics::Dynamical Systems
General Computer Science Mathematics::Complex Variables General Engineering filled Julia set boundary of Julia set Julia set jungck-Mann iteration General Materials Science lcsh:Electrical engineering. Electronics. Nuclear engineering Orbit (control theory) lcsh:TK1-9971 Mathematics Mathematical physics |
| Zdroj: | IEEE Access, Vol 7, Pp 76859-76867 (2019) |
| ISSN: | 2169-3536 |
| DOI: | 10.1109/access.2019.2920026 |
| Popis: | In this paper, we study the generalized Jungck Mann orbit (GJMO) and prove the converse theorem of results. We develop algorithms for the generation of filled Julia sets and their boundaries in the GJMO. In simple Julia set (i.e., boundary of filled Julia set), we show the internal structure of Julia set and establish the correspondence between Julia points via dark blue lines in graphs. Moreover, we demonstrate the pictorial effects of filled Julia set and its boundary and graphically present the image change with the change of complex parameter c in the GJMO. |
| Databáze: | OpenAIRE |
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