A simple chaotic system using signum function

Buğçe Eminağa Tatlıcıoğlu

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 225, issue C, 1072-1088

Abstract: Starting from Lorenz System, a simpler system using signum function was obtained, which shows chaotic behavior. The conditions for stability were explained. Lyapunov and bifurcation analyses were carried out to exhibit the chaotic behavior. The system’s suitability for circuit realization was shown with an electronic circuit implementation which is based mainly on opamps, whose simulation results were in harmony with Matlab results. Finally, as an application, a random number generator (RNG) scheme was designed, in which binary data were obtained from x,y,z variables. In order to reveal that the RNG scheme is functional, NIST-Test was applied to the obtained binary data.

Keywords: Chaos; Dynamic systems; Random number generator (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475423004640
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:225:y:2024:i:c:p:1072-1088

DOI: 10.1016/j.matcom.2023.11.006

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().