A New 4-D Chaotic System with Self-Excited Two-Wing Attractor, its Dynamical Analysis and Circuit Realization

Sambas, Aceng; Vaidyanathan, Sundarapandian; Zhang, S.; Mujiarto,; Mamat, Mustafa; Subiyanto, .; Sanjaya, W. S. Mada

doi:10.1088/1742-6596/1179/1/012084

Cited by 3 publications

(4 citation statements)

References 49 publications

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“…In this section, a disturbance observer is developed to estimate the exterior perturbations affecting the chaotic systems (6) and (7). To this end, define the synchronization error between the master and slave systems as follows:…”

Section: B Design Of a Disturbance Observer-based Semi-glogally Robumentioning

confidence: 99%

“…In many applications, the chaotic behavior is undesirable because of the fact that even small disturbances may cause the states to diverge exponentially. Therefore, the chaos phenomenon should be avoided or completely suppressed in practice [6][7][8][9]. In the past two decades, chaos synchronization has generated important interests in applied fields such as secure communication [10,11], electronic circuits [12], optical chaotic communication [13], chaotic CO2 lasers [14], chaotic finance system [15], a periodically intermittent control [16], partial discharge in power cables [17], cryptosystems [18] and image encryption [19].…”

Section: Introductionmentioning

confidence: 99%

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A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

et al. 2021

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This paper proposes a disturbance observer-based Sliding Mode Control (SMC) approach for the robust synchronization of uncertain delayed chaotic systems. This is done by, first, examining and analyzing the electronic behavior of the master and slave Sprott chaotic systems. Then, synthesizing a robust sliding mode control technique using a newly proposed sliding surface that encompasses the synchronization error between the master and slave. The external disturbances affecting the system were estimated using a disturbance observer. The proof of the semi-globally bounded synchronization between the master and slave was established using the Lyapunov stability theory. The efficiency of the proposed approach was first assessed using a simulation study, then, experimentally validated on a data security system. The obtained results confirmed the robust synchronization properties of the proposed approach in the presence of timedelays and external disturbances. The experimental validation also confirmed its ability to ensure the secure transfer of data. INDEX TERMS Sliding mode control; robust synchronization control; chaotic systems; disturbance observer; data security.

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Section: B Design Of a Disturbance Observer-based Semi-glogally Robumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

et al. 2021

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“…The chaotic attractors can be classified as self-excited attractors and hidden attractors. The self-excited attractors [23][24][25] can be detected using the unstable equilibrium points while the hidden attractors can be observed in the no equilibrium system [26][27][28]. Many systems have been designed with no equilibrium [29,30], stable equilibrium [31][32][33], line and curve of equilibrium [34][35][36], non-hyperbolic equilibrium [37][38][39] and infinitely many equilibria [40,41].…”

Section: Introductionmentioning

confidence: 99%

“…Now, consider the Lyapunov stability function as given in Eq. (24), V = e 1 ė1 + e 2 ė2 + e 3 ė3 + e a ėa + e b ėb + e c ėc(24)…”

mentioning

confidence: 99%

A New DC Offset Boostable Chaotic System with Multistability, Coexisting Attractors and Its Adaptive Synchronization

Ramar,

Vaidyanathan

2023

Scientia Iranica

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In this paper, a new chaotic system with three sinusoidal nonlinearities is reported. The basic behavior of the new chaotic system is analyzed by means of equilibrium points, stability, and Lyapunov exponents. The new system has countably infinite number of equilibrium points, which is a novel feature of the system. The new system has multiple interesting features such as topologically different attractors, coexisting attractors, offset-boosted attractors, and polarity reversed offset-boosting attractors. These special features are analyzed and verified using classical tools such as bifurcation diagrams, Lyapunov exponent plots, and attractor diagrams. The bifurcation analysis and simulation results show that the proposed system has rich chaotic dynamics. Furthermore, the adaptive synchronization of the new system is achieved using a nonlinear feedback control methodology. MATLAB plots are shown to illustrate the control results for the new chaotic system with three sinusoidal nonlinearities.

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Encryption algorithm based on improved four-dimensional chaotic system and dynamic DNA encoding

Tang,

Wang,

Shu

et al. 2024

AIP Advances

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An image encryption algorithm is proposed based on the combination of genetic (DNA) random coding and chaotic mapping. An image encryption algorithm based on an improved new four-dimensional chaotic system and DNA coding is proposed to address the problem that a single coding method is prone to selecting plaintext attacks. Based on a four-dimensional chaotic system existing in the literature, a new four-dimensional hyperchaotic system is obtained through improvement. The initial value of the system is generated based on SHA-256, zigzag transform. The input key and four pseudo-random chaotic sequences are generated iteratively. DNA chunking encoding, arithmetic operation, and decoding are implemented for the image disrupted based on the zigzag transform. The two-dimensional matrix constituted based on the Chaotic Sequence of Chebyshev to obtain the scrambled and diffused ciphertext image. Simulation experiments and security performance analysis show that the algorithm enhances the correlation between the key and the plaintext, the randomness of the encryption process, and effectively improves the anti-attack capability [H. Chen, J. Zhao et al., Appl. Res. Comput. 10, 0434 (2021)]. In this paper, 512 × 512 × 3 peppers color images are used for testing, and the correlation coefficients of adjacent pixels of the encrypted images are all close to 0, and the information entropy is all more significant than 7.997, which is relative to the theoretical value of 8. The experimental results show that the proposed algorithm improves the security of the ciphertext, increases the critical space, and, at the same time, resists various attack methods.

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A New 4-D Chaotic System with Self-Excited Two-Wing Attractor, its Dynamical Analysis and Circuit Realization

Cited by 3 publications

References 49 publications

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

A New DC Offset Boostable Chaotic System with Multistability, Coexisting Attractors and Its Adaptive Synchronization

Encryption algorithm based on improved four-dimensional chaotic system and dynamic DNA encoding

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