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 |
Lambda -Type Chaos, Chaotic Maps, Irresolute Maps, Transitivity
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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
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
@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} }
TY - JOUR T1 - New Types of Chaotic Maps AU - Mohammed Nokhas Murad Y1 - 2014/10/24 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.s.2014030601.14 DO - 10.11648/j.pamj.s.2014030601.14 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 20 EP - 23 PB - Science Publishing Group SN - 2326-9812 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 ER -