Dynamic analysis and synchronisation control of a novel chaotic system with coexisting attractors

Zhou, Chengqun; Yang, Chunhua; Xu, Degang; Chen, Chaoyang

doi:10.1007/s12043-019-1891-3

Cited by 7 publications

(4 citation statements)

References 46 publications

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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 numerous specialized papers, some of which are cited in this article's sources [45][46][47][48]. The proposed new three-dimensional fractional-order chaotic system with two quadratic nonlinearity terms is described by the fractional-order dynamics in Equation (5).…”

Section: New 3d Fractional-order Chaotic Systemmentioning

confidence: 92%

Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System

Rahman

Jasim

2022

Inventions

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In this paper, a new fractional-order chaotic system containing several nonlinearity terms is introduced. This new system can excite hidden chaotic attractors or self-excited chaotic attractors depending on the chosen system parameters or its fraction-order derivative value. Several dynamics of this new system, such as chaotic attractors, equilibrium points, Lyapunov exponents, and bifurcation diagrams, are analyzed analytically and numerically. Then, adaptive control laws are developed to achieve chaos synchronization in two identical new systems with uncertain parameters; one of these two new identical systems is the master, and the other is the slave. In addition, update laws for estimating the uncertain slave parameters are derived. Furthermore, in chaos application fields, these master and slave synchronized systems are applied in secure communication to act as the transmitter and receiver, respectively. Finally, the security analysis metric tests were analyzed using histograms and spectrograms to establish the communication system’s security strength. Numerical test results demonstrate the possibility of using this proposed fractional-order chaotic system in high-security communication systems. The employed communication system is also highly resistant to pirate attacks.

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Section: New 3d Fractional-order Chaotic Systemmentioning

confidence: 92%

Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System

Rahman

Jasim

2022

Inventions

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“…Despite the fact that there are a lot of new chaotic systems proposed over the last few years, it is still advantageous for the field of chaos in theoretical and practical areas to develop, discover, and analyze new chaotic systems. This fact is stated in many specialized articles and the article's references [55][56][57][58] are some of these examples. That is because some of the chaotic applications, such as secure communication, require new systems continuously.…”

Section: New Fractional-order Chaotic Systemmentioning

confidence: 96%

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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“…Passive control is frequently employed for stabilizing the control systems in the control design of big and complex systems. Tere are numerous uses for passive control in the balancing and management of control systems (see Sambas et al [9]; Sangpet and Kuntanapreeda [10]; Zhou et al [11]; and Tian et al [12]).…”

Section: Introductionmentioning

confidence: 99%

Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach

Garagara Kinwi,

Ekwueme Aniaku,

Chukwuma Asogwa

et al. 2023

International Journal of Mathematics and Mathematical Sciences

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The design of controller for nonlinear system in strict feedback form in which the equilibrium point is the origin is the focus of the study. Backstepping is the technique applied. Recursive design is used in the backstepping control technique. Using the backstepping approach, we are given a reasonably simple method to design the control law for a system with these properties. The closed-loop system’s global asymptotic stability is attained by incorporating a Lyapunov function; in this case, a quadratic one was selected for the study. To demonstrate the viability of the technique, we also performed simulations of the system and the designed control with some initial values, and positive results were reported.

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Dynamic analysis and synchronisation control of a novel chaotic system with coexisting attractors

Cited by 7 publications

References 46 publications

Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System

Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System

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

Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach

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