Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit
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 Juli...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8726367/ |
| _version_ | 1819174217085616128 |
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| author | Dong Li Muhammad Tanveer Waqas Nazeer Xiaorui Guo |
| author_facet | Dong Li Muhammad Tanveer Waqas Nazeer Xiaorui Guo |
| author_sort | Dong Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T20:35:27Z |
| format | Article |
| id | doaj.art-0eea5b145f5e41379a86a226ff7eb43b |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T20:35:27Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-0eea5b145f5e41379a86a226ff7eb43b2022-12-21T18:13:28ZengIEEEIEEE Access2169-35362019-01-017768597686710.1109/ACCESS.2019.29200268726367Boundaries of Filled Julia Sets in Generalized Jungck Mann OrbitDong Li0Muhammad Tanveer1Waqas Nazeer2https://orcid.org/0000-0002-5488-0467Xiaorui Guo3Zhengzhou Railway Vocational & Technical College, Zhengzhou, ChinaDepartment of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan3Division of Science and Technology, University of Education, Lahore, PakistanZhengzhou University of Light Industry, Zhengzhou, ChinaIn 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.https://ieeexplore.ieee.org/document/8726367/jungck-Mann iterationfilled Julia setboundary of Julia set |
| spellingShingle | Dong Li Muhammad Tanveer Waqas Nazeer Xiaorui Guo Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit IEEE Access jungck-Mann iteration filled Julia set boundary of Julia set |
| title | Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit |
| title_full | Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit |
| title_fullStr | Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit |
| title_full_unstemmed | Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit |
| title_short | Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit |
| title_sort | boundaries of filled julia sets in generalized jungck mann orbit |
| topic | jungck-Mann iteration filled Julia set boundary of Julia set |
| url | https://ieeexplore.ieee.org/document/8726367/ |
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