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New Types of Chaotic Maps

Received: 15 October 2014     Accepted: 20 October 2014     Published: 24 October 2014
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Abstract

In this paper, we will study a new class of chaotic maps on locally compact Hausdorff spaces called Lambda -type chaotic maps and θ-type chaotic maps. The Lambda -type chaotic map implies chaotic map which implies θ-type chaotic map. Further, the definition of topological Lambda -type chaos implies John Tylar definition which implies topological θ-type chaos definition. Relationships with some other types of chaotic maps defined on topological spaces are given.

Published in Pure and Applied Mathematics Journal (Volume 3, Issue 6-1)

This article belongs to the Special Issue Mathematical Theory and Modeling

DOI 10.11648/j.pamj.s.2014030601.14
Page(s) 20-23
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Lambda -Type Chaos, Chaotic Maps, Irresolute Maps, Transitivity

References
[1] H. Maki, Generalized Λ-sets and the associated closure operator, The Special Issue in Commemoration of Prof. Kazusada IKED’S Retirement, 1 Oct. (1986), 139-146.
[2] F.G. Arenas, J. Dontchev and M. Ganster, On λ-sets and the dual of generalized continuity, Questions Answers Gen. Topology, 15 (1997), 3-13.
[3] M. Caldas and S. Jafari, On some low separation axioms via λ--open and λ-closure operator, Rend. Circ. Mat. di Palermo, 54(2005), 195- 208.
[4] M. Caldas, S. Jafari and G. Navalagi, More on λ--closed sets in topological spaces, Revista Columbiana, 41 (2007), 355-369.
[5] S.G. Crossley and S.K. Hildebrand, Semi topological properties, Fund. Math. 74(1972) 233-254
[6] A. A. El-Atik, A study of some types of mappings on topological spaces, Master’s Thesis, Faculty of Science, Tanta University, Tanta, Egypt 1997.
[7] Mohammed Nokhas Murad, New Types of Λ -Transitive Maps, International Journal of Research in Electrical and Electronics Engineering (ISTP-JREEE) ISSN: 2321-2667 Volume 2, Issue 5, Sept. (2013), 19-24
[8] Mohammed Nokhas Murad, New types of chaotic maps on topological spaces, International Journal of Electrical and Electronic Science, American association for science and technology, Vol. 1 No. 1(2014), 1-5
[9] Mohammed Nokhas Murad , Sherko Hassan Abdurrahman, Two new types of chaotic maps and minimal systems, Pure and Applied Mathematics Journal, Science PG, Vol. 3 No. 1 (2014), 7-12
[10] Mohammed Nokhas Murad , Introduction to θ -Type Transitive Maps on Topological spaces. International Journal of Basic & Applied Sciences IJBAS-IJENS Vol:12 No:06(2012), 104-108.
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  • APA Style

    Mohammed Nokhas Murad. (2014). New Types of Chaotic Maps. Pure and Applied Mathematics Journal, 3(6-1), 20-23. https://doi.org/10.11648/j.pamj.s.2014030601.14

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    ACS Style

    Mohammed Nokhas Murad. New Types of Chaotic Maps. Pure Appl. Math. J. 2014, 3(6-1), 20-23. doi: 10.11648/j.pamj.s.2014030601.14

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    AMA Style

    Mohammed Nokhas Murad. New Types of Chaotic Maps. Pure Appl Math J. 2014;3(6-1):20-23. doi: 10.11648/j.pamj.s.2014030601.14

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  • @article{10.11648/j.pamj.s.2014030601.14,
      author = {Mohammed Nokhas Murad},
      title = {New Types of Chaotic Maps},
      journal = {Pure and Applied Mathematics Journal},
      volume = {3},
      number = {6-1},
      pages = {20-23},
      doi = {10.11648/j.pamj.s.2014030601.14},
      url = {https://doi.org/10.11648/j.pamj.s.2014030601.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030601.14},
      abstract = {In this paper, we will study a new class of chaotic maps on locally compact Hausdorff spaces called Lambda -type chaotic maps and θ-type chaotic maps. The Lambda -type chaotic map implies chaotic map which implies θ-type chaotic map. Further, the definition of topological Lambda -type chaos implies John Tylar definition which implies topological θ-type chaos definition. Relationships with some other types of chaotic maps defined on topological spaces are given.},
     year = {2014}
    }
    

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    T2  - Pure and Applied Mathematics Journal
    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
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    UR  - https://doi.org/10.11648/j.pamj.s.2014030601.14
    AB  - In this paper, we will study a new class of chaotic maps on locally compact Hausdorff spaces called Lambda -type chaotic maps and θ-type chaotic maps. The Lambda -type chaotic map implies chaotic map which implies θ-type chaotic map. Further, the definition of topological Lambda -type chaos implies John Tylar definition which implies topological θ-type chaos definition. Relationships with some other types of chaotic maps defined on topological spaces are given.
    VL  - 3
    IS  - 6-1
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Author Information
  • University of Sulaimani, Faculty of Science and Science Education, School of Science, Math Department. Sulaimani, Iraq.

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