Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals
-
Published:2023-10
Issue:2
Volume:91
Page:307-336
-
ISSN:0340-6253
-
Container-title:Match Communications in Mathematical and in Computer Chemistry
-
language:
-
Short-container-title:match
Author:
Marwan Muhammad, ,Xiong Anda,Han Maoan,Khan Ramla, , ,
Abstract
This research examines a chaotic chemical reaction system based on the variation of the Lorenz system. This study demonstrates that although the first phase portraits of the chemical models under consideration and the Lorenz models are comparable, they do not fully follow all the features of the Lorenz system. Questions about the existence of fractals in systems based on chemical reactions are addressed in the current work. Moreover, we have worked on the hidden information inside in each wings of a chaotic system generated through fractal process, for the first time, with the aid of basin for fractals. Additionally, we looked closely at the dynamics of the model across the basin, which revealed additional details regarding the existence of hidden and cyclic attractors inside each wing. We also produced multi-wings for system (1) in the current study, demonstrating in a general manner that the number of cyclic attractors increase in a direct relation to the number of wings. Moreover, Julia approach is used to accomplish the work of multi-wings, whereas for searching cyclic attractors inside each extra wing, we have used fifteen million initial conditions and compiled them as a basin set. The data generated in this work is also provided within this paper for the ease of readers.
Publisher
University Library in Kragujevac
Subject
Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications,General Chemistry