The Design and Realization of a Hyper-Chaotic Circuit Based on a Flux-Controlled Memristor with Linear Memductance

Wang, Chunhua; Ling, Zhou; Wu, Renping

doi:10.1142/s021812661850038x

Cited by 33 publications

(15 citation statements)

References 27 publications

(61 reference statements)

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“…The literature also describes a hyperchaotic multi-wing attractor generated in a 4D memristive circuit [12] as well as fourwing hyperchaotic attractors and two-, three-, and four-wing chaotic attractors generated in 4D memristive systems [13]. Additionally, the design and implementation of hyperchaotic circuits based on linear chirped magnetic field control memristors [14] and the construction, analysis, and improvement of hyperchaotic systems [15] have been reported. In 2017, Liu et al [16] proposed an image based on chaos theory and the bit disturb operation was proposed in [17], and image encryption algorithms based on an orthogonal matrix and a chaotic map have been reported [18], [19].…”

Section: Introductionmentioning

confidence: 99%

A Novel Image Encryption Algorithm Based on Parameter-Control Scroll Chaotic Attractors

et al. 2020

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This paper describes a novel image encryption algorithm based on a parameter-control scroll chaotic attractor. Firstly, a novel chaotic system is constructed, and some basic dynamic characteristics of the chaotic system are analyzed. Secondly, the chaotic sequence is decomposed using the Schur decomposition method to obtain N orthogonal matrices, which are multiplied by the plaintext matrix. Finally, the six highorder bit planes are subjected to disturbance and ''same OR'' operations, and the scrambled image matrix is combined with the low two-bit matrix to obtain an eight-bit matrix. At the same time, the same OR operation is applied to the disturbed image matrix and the chaotic sequence to obtain the final encrypted image. Theoretical analysis shows that the key space of the algorithm can be up to 10 135. Additionally, simulation results demonstrate that the proposed method achieves high key sensitivity and can effectively resist statistical analysis and gray value analysis attacks. With the exception of exhaustive attacks, all attack methods based on the determined plaintext-ciphertext mapping relationship will be invalid. INDEX TERMS Four-dimensional chaotic system, digital image encryption, dynamic characteristics, ''same OR'' operation. TAO WANG received the M.Sc. degree in computer science from the Huazhong University of Science and Technology, in 2005. He is currently pursuing the Ph.D. degree in software engineering with the College of Computer Science, Sichuan University. He is currently an Associate Professor with the School of Advanced Materials and Mechatronic Engineering, Hubei Minzu University. He is also the author of more than ten research articles and a series of computer software product registration. His research interests include data mining, image encryption, and parallel computing.

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Section: Introductionmentioning

confidence: 99%

A Novel Image Encryption Algorithm Based on Parameter-Control Scroll Chaotic Attractors

et al. 2020

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“…In [39], by introducing a flux-controlled memristor into a multiwing system, no equilibrium hyperchaotic multiwing attractors are observed in the memristive system. A flux-controlled memristor with linear memductance is proposed in [40]; then, a new hyperchaotic system is presented by adding the proposed memristor into the Lorenz system, and the memristive system exhibits complex dynamic characteristics such as four-wing hyperchaotic attractors.…”

Section: Introductionmentioning

confidence: 99%

Secure Communication Scheme Based on a New 5D Multistable Four-Wing Memristive Hyperchaotic System with Disturbance Inputs

Zhang

Liu

et al. 2020

Complexity

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By introducing a flux-controlled memristor model with absolute value function, a 5D multistable four-wing memristive hyperchaotic system (FWMHS) with linear equilibrium points is proposed in this paper. The dynamic characteristics of the system are studied in terms of equilibrium point, perpetual point, bifurcation diagram, Lyapunov exponential spectrum, phase portraits, and spectral entropy. This system is of the group of systems that have coexisting attractors. In addition, the circuit implementation scheme is also proposed. Then, a secure communication scheme based on the proposed 5D multistable FWMHS with disturbance inputs is designed. Based on parametric modulation theory and Lyapunov stability theory, synchronization and secure communication between the transmitter and receiver are realized and two message signals are recovered by a convenient robust high-order sliding mode adaptive controller. Through the proposed adaptive controller, the unknown parameters can be identified accurately, the gain of the receiver system can be adjusted continuously, and the disturbance inputs of the transmitter and receiver can be suppressed effectively. Thereafter, the convergence of the proposed scheme is proven by means of an appropriate Lyapunov functional and the effectiveness of the theoretical results is testified via numerical simulations.

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“…Chaos is widely used in cryptosystems, random numbers, and secure communications [43][44][45][46][47][48][49], and it has become a hot topic in nonlinear circuits and systems. In the realization of chaotic circuits, researchers have proposed many new methods to design different types of chaotic circuits [50][51][52][53][54][55]. Among them, Chua's chaotic circuit [56][57][58] has attracted wide attention because of its simple structure, bifurcation, and chaotic complex dynamic characteristics.…”

Section: Introductionmentioning

confidence: 99%

CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

Shen

Liu

et al. 2020

Complexity

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In this paper, a multistable modified fourth-order autonomous Chua’s chaotic system is investigated. In addition to the dynamic characteristics of the third-order Chua’s chaotic system itself, what interests us is that this modified fourth-order autonomous Chua’s chaotic system has five different types of coexisting attractors: double-scroll, single band chaotic attractor, period-4 limit cycle, period-2 limit cycle, and period-1 limit cycle. Then, an inductorless modified fourth-order autonomous Chua’s chaotic circuit is proposed. The active elements as well as the synthetic inductor employed in this circuit are designed using second-generation current conveyors (CCIIs). The reason for using CCIIs is that they have high conversion rate and operation speed, which enable the circuit to work at a higher frequency range. The Multisim simulations confirm the theoretical estimates of the performance of the proposed circuit. Finally, using RK-4 numerical algorithm of VHDL 32-bit IQ-Math floating-point number format, the inductorless modified fourth-order autonomous Chua’s chaotic system is implemented on FPGA for the development of embedded engineering applications based on chaos. The system is simulated and synthesized on Virtex-6 FPGA chip. The maximum operating frequency of modified Chua’s chaotic oscillator based on FPGA is 180.180 MHz. This study demonstrates that the hardware-based multistable modified fourth-order autonomous Chua’s chaotic system is a very good source of entropy and can be applied to various embedded systems based on chaos, including secure communication, cryptography, and random number generator.

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The Design and Realization of a Hyper-Chaotic Circuit Based on a Flux-Controlled Memristor with Linear Memductance

Cited by 33 publications

References 27 publications

A Novel Image Encryption Algorithm Based on Parameter-Control Scroll Chaotic Attractors

A Novel Image Encryption Algorithm Based on Parameter-Control Scroll Chaotic Attractors

Secure Communication Scheme Based on a New 5D Multistable Four-Wing Memristive Hyperchaotic System with Disturbance Inputs

CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

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