Synchronization and tracking control of a novel 3 dimensional chaotic system

Jasim, Basil H.; Rashid, Mofeed Turky; Omran, Khulood Moosa

doi:10.37917/ijeee.sceeer.3rd.14

Cited by 3 publications

(3 citation statements)

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“…Despite the fact that many novel chaotic systems have been presented in recent years, developing, discovering, and analyzing new chaotic systems is still beneficial to the subject of chaos in theoretical and practical fields. This fact is stated in several specialized papers, some of which are cited in the article's sources [13,22,23,37]. This is due to the fact that some chaotic applications, such as secure communication, necessitate the ongoing development of new systems.…”

Section: New 3-d Jerk Chaotic System Analysismentioning

confidence: 99%

Secure Communication Scheme Based on a New 3-D Jerk Chaotic System

Rahman¹,

Jasim²,

Alhamdawee³

2022

Al-Qadisiyah Journal of Pure Science

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Chaos theory plays a significant role in the engineering fields and especially in the security of data transmission in communication systems. In this paper, a new 3-D jerk chaotic system has been suggested. The fundamental dynamical properties, including the fixed points, chaotic attractors, bifurcation diagrams, and Lyapunov exponents are investigated. In communication systems, data security and the implementation of designed transceivers of secure communication scheme can be considered the main challenge for applying such systems. In this work, a 3-D new jerk chaotic scheme has been proposed to be used in data encryption of communication systems. The proposed jerk chaotic system is used for constructing identical transceivers of communication scheme that are presented by a master (transmitter) and a slave (receiver). In the master end, a useful information beam is encrypted through a chaotic signal. On the other hand, in the slave side, the original information beam is retrieved from the mutual transmitted beam by a chaotic synchronization mechanism. The communication scheme transceivers are synchronized by an adaptive observer synchronization mechanism. Finally, the system is tested and evaluated on a stream of binary information that is encrypted in the transmitter and recovered in the receiver. The results show that our proposal cryptosystem has good performance in term of securing transmitted data.

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Section: New 3-d Jerk Chaotic System Analysismentioning

confidence: 99%

Secure Communication Scheme Based on a New 3-D Jerk Chaotic System

Rahman¹,

Jasim²,

Alhamdawee³

2022

Al-Qadisiyah Journal of Pure Science

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“…Lyapunov exponents are calculated and strongly indicate that the new system exhibits the chaoticity phenomena. At least one positive Lyapunov exponent in nonlinear dynamic systems ensures that these systems display chaos [70,71]. For the suggested system, the Lyapunov exponents are numerically determined, as shown in Figure 4.…”

Section: Lyapunov Exponentsmentioning

confidence: 99%

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

et al. 2021

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This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcation diagrams of this new FOCS, are studied analytically and numerically. Adaptive control laws are derived based on Lyapunov theory to achieve chaos synchronization between two identical new FOCSs with an uncertain parameter. For these two identical FOCSs, one represents the master and the other is the slave. The uncertain parameter in the slave side was estimated corresponding to the equivalent master parameter. Next, this FOCS and its synchronization were realized by a feasible electronic circuit and tested using Multisim software. In addition, a microcontroller (Arduino Due) was used to implement the suggested system and the developed synchronization technique to demonstrate its digital applicability in real-world applications. Furthermore, based on the developed synchronization mechanism, a secure communication scheme was constructed. Finally, the security analysis metric tests were investigated through histograms and spectrograms analysis to confirm the security strength of the employed communication system. Numerical simulations demonstrate the validity and possibility of using this new FOCS in high-level security communication systems. Furthermore, the secure communication system is highly resistant to pirate attacks. A good agreement between simulation and experimental results is obtained, showing that the new FOCS can be used in real-world applications.

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“…It is a self-sustained oscillator because it maintains its oscillations by itself. Under certain conditions, it also exhibits the very rich dynamical behaviors ( Van der Pol and Van der Mark, 1928 ; Alhasnawi et al, 2021 ; Chedjou et al, 1997 ; Makouo and Woafo, 2017 ; Han et al, 2018 ; Simo and Woafo, 2012 ; Bao et al, 2018 ; Jasim et al, 2020 ; Han and Bi, 2012 ; Ma et al, 2021 ; Grudzinski and Zebrowski, 2004 ; Magnitskii and Sidorov, 2004 ). The refs.…”

Section: Introductionmentioning

confidence: 99%