A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application

Abstract

When revising the polarity and amplitude information in the feedback, a unique hypogenetic jerk system was obtained which has two controllers to switch the equilibria between stable and unstable. After providing some basic dynamical analysis, an electronic circuit was implemented, and the phase trajectory in the oscilloscope agrees with the numerical simulation. Further exploration shows that this unique chaotic system has superior performance as a random number generator or in voice encryption application.

Circuit Implementation and PRNG Applications of Time Delayed Lorenz System

“…In this section, circuit implementation of the TDLS is given. In the literature, there are many studies in which the chaotic systems were realized with electronic circuits (Pehlivan et al 2019;Adiyaman et al 2020;Kacar et al 2018;Jahanshahi et al 2018;Liu et al 2020). However, to the best of the authors' knowledge, there are no circuit implementation of time delayed chaotic systems in the literature.…”

“…If the realized engineering applications of the chaotic systems are investigated, the most of these applications are focused on circuit implementation (Pehlivan et al 2019;Adiyaman et al 2020;Kacar et al 2018;Jahanshahi et al 2018;Liu et al 2020) and random number generator (RNG) (Akgul et al 2019;Moysis et al 2020;Alcin et al 2021;Agarwal 2021;Kaçar 2016;Vaidyanathan et al 2018). Accordingly, it will be sufficient to realize these two applications of a proposed chaotic system to show the usability of the chaotic system in engineering applications.…”

The Modeling of the Rucklidge Chaotic System with Artificial Neural Networks

“…Lorenz's work proves that chaotic systems change unpredictably within certain limits, and one can only know within which probabilities they may act. After Lorenz's studies, many chaotic systems have been presented to the literature and improvements have been made on the systems by working on chaotic systems (Alcin et al 2019;Avaro glu et al 2015;Liu et al 2020;Prakash et al 2020;Rajagopal et al 2019;Ramakrishnan et al 2022;Vaidyanathan et al 2018).…”