Article Sidebar
Published:
Dec 26, 2022DOI:
10.4314/mejs.v14i2.5Keywords:
Article Details
The Momona Ethiopian Journal of Science accepts the manuscripts for consideration with the understanding that the manuscript has not been published and is not under consideration for publication elsewhere. Only original articles will be considered for publication if they have been published previously as abstracts, but not if they have been published previously as extended abstract (>1000 words). This applies to both electronic and print versions of the journal. The authors should assign copyright ownership to the Editorial Office of MEJS in the event that the manuscript is accepted for publication in the Momona Ethiopian Journal of Science. All accepted manuscripts must be accompanied by a copyright statement signed by all authors. A copy of the copyright form will be supplied along with the final reviewed version of the manuscript that is sent for final proof- reading. Authors may make multiple copies of the form if necessary and send to the Editorial Office with author’s signature(s) even individually.
All articles published by Momona Ethiopian Journal of Science (MEJS) are Open Access under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0). Under this license, authors retain ownership of the copyright for their content, and anyone can copy, distribute, or reuse articles as long as the author and original source are properly cited. In all these cases for re-use, the authors will be given proper credit to the original publication in MEJS.
Main Article Content
Periodic Point as a Recurrent Formation Using the Logistic Function: A Survey
Abstract
In topological dynamical systems (TDS), recurrence (periodic–like recurrence) is one of the important concepts in its studies but one major problem is the inability to demonstrate and/or illustrate its formation in the orbit structure of system from a topological point of view. In this paper, the logistic function was applied to demonstrate the periodic point as a recurrent formation (periodic–like recurrence) in the topological dynamical system and dynamical system. The Wolfram Alpha computational knowledge engine was used in obtaining the tables and the figures for the study through various examples of the logistic function. The study shows that period – 2 recurrence is formed when the trajectory of the function is made up of two different values that keep repeating after successive iterations as a result of the period – 2 orbits when the parameter of the function is between 3 and 3.45. The study again shows that when the parameter of the function is greater than 3.83 there is a period – 3 point hence the formation of other periodic points. Convincingly, beyond this period – 3 is another subsequent period called the period-doubling cascade leading into chaos. This period-doubling asserts that other periodic–like recurrences are also present, hence period –n recurrent exists.
