Memristive Chaotic System Research Articles

Analysis and Realization of New Memristive Chaotic System with Line Equilibria and Coexisting Attractors

Analysis and Realization of New Memristive Chaotic System with Line Equilibria and Coexisting Attractors

Novel memristor and memristor-based applications

This special issue presents 25 papers regarding memristor systems and their applications. Part of the manuscripts are about memristor-based neural systems, and the systems show rich dynamics. Multistability in memristive systems has aroused much interest, and nonlinear behaviors, such as hidden attractors, extreme multistability, and transient chaotic transition, are observed. There are also two works investigating controllers of fractional-order memristor chaotic systems and several for circuit implementation of memristor chaotic systems. As new research, discrete memristor chaotic maps are reported and show potential application value in the future. Finally, there are two papers about the application of memristive chaotic systems to image encryption fields, indicating that memristive chaotic systems can be used in the information security field.

Design and realization of discrete memristive hyperchaotic map with application in image encryption

The investigation of discrete memristive chaotic systems with complex dynamics has been an interesting and meaningful research work. This paper is devoted to constructing a hyperchaotic system with no fixed point and infinitely many coexisting attractors. The memristive Gaussian map (MGM) is coupled by a sinusoidal discrete memristor with the Gaussian map and induces extreme multistability associated with the initial state due to the import of sinusoidal nonlinearity. Creatively, the iterative number is imported into the system as a variable, which effectively boosts the complexity of its export. The most remarkable feature of the system is a large range of chaos and hyperchaos captured under multiple sets of parameters, and with various coexisting attractors. In addition, digital experiments are designed to verify the feasibility of the hardware implementation, an image encryption algorithm and PRNG are proposed based on the MGM chaotic sequence.

Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system

AbstractThis paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen’s system. Then by choosingaas the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that whenacross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors. Some numerical simulations including phase diagrams and maximum Lyapunov exponent graph of the memristor-based systems are presented to verify the existence of chaos attractors. Finally, to make the results of this paper useful in the actual situation, such as the design of chaos security algorithm, analog electronic circuit of memristor chaotic system is designed.

Nonlinear analysis and chaos synchronization of a memristive-based chaotic system using adaptive control technique in noisy environments

The behavior of memristor-based chaotic systems under the influence of external noise is the subject of recent work. In this paper, the nonlinear behavior of a new memristive chaotic system based on memcapacitor and meminductor is considered in noisy environments. The nonlinear behavior of the proposed memristive chaotic system in the presence of white Gaussian noise is viewed through a time series of dynamical analyses, Lyapunov exponent analysis, and phase diagram analysis. Then, chaos synchronization of two memristive chaotic systems in the presence of white gaussian noise is considered. For this purpose, adaptive feedback control laws are derived from achieving global chaos synchronization of identical new memristive chaotic systems. To confirm the validity of the proposed method, some numerical simulations follow identical synchronizations. Numerical simulations are performed to show the effectiveness of the proposed method.

K-Means Clustering Algorithm Based on Memristive Chaotic System and Sparrow Search Algorithm

With the advent of the big data era, it is vital to explore the information involved in this type of data. With the continuous development of higher education, the K-means clustering algorithm is widely used to analyze students’ academic data. However, a significant drawback of this method is that it is seriously affected by initial centroids of clustering and easily falls into local optima. Motivated by the fact that the chaos and swarm intelligence algorithm are frequently combined, we propose an approach for data clustering by Memristive Chaotic Sparrow Search Algorithm (MCSSA) in this paper. First, we introduce a memristive chaotic system, which has a property of conditional symmetry. We use the sequences generated by the memristive chaotic system to initialize the location of the sparrows. Then, MCSSA is applied before K-means for finding the optimal locations in the search space. Those locations are used as initial cluster centroids for the K-means algorithm to find final data clusters. Finally, the improved clustering algorithm is applied to the analysis of college students’ academic data, demonstrating the value and viability of the approach suggested in this paper. Through empirical research, it is also confirmed that this method can be promoted and applied.

A new 4D Memristor chaotic system: Analysis and implementation

In this paper, a new chaotic memristor system is developed based on a well-known nonlinear circuit. By replacing the nonlinear positive conductance of Shinriki's circuit with a memristor emulator, the new simple chaotic circuit can reduce the number of active elements and reduce power consumption. An analysis of equilibria and stability, dissipative properties, Lyapunov exponents, Kaplan-Yorke dimensions, and bifurcation diagrams is presented as well as numerical simulation of the new memristor chaotic system. As a final step, the electronic circuit is designed using Multisim software, which is complemented by a physical realization to demonstrate the feasibility of the chaotic system.

Hyperchaotic circuit design based on memristor and its application in image encryption

The active-circuit simulation of magnetron memristors model and sinusoidal functions are introduced into a simple third-order memristor chaotic system to obtain a self-replicating chaotic system based on the memristor. The most remarkable feature is the existence of state transfer in this system, which has infinite line equilibria and exhibits extreme multistability with the coexistence of an infinite number of attractors. The system is a chaotic system with a wide range of parameters, and there is a transfer from periodic to chaotic to hyperchaotic states in a specific parameter range. The experimental simulation circuit was not only developed based on the circuit simulation software Multisim, but also the actual digital circuit of the system was implemented by field programmable gate array (FPGA). The final experimental results were consistent with the numerical simulation, which proved that the constructed system was feasible. Finally, an image encryption algorithm is designed in combination with DNA algorithm, so that the new system chaotic sequence is used to encrypt images, focusing on the analysis of encryption histogram, adjacent pixel correlation. The results show that the new memristor system is very sensitive to both chaotic keys and plaintexts, the key space is large, therefore the proposed chaotic memristor system has high security performance when applied to image encryption.

Editorial: Advances in memristor and memristor-based applications

These seven papers are based on memristor chaotic system design, fractional chaotic system design, system hardware implementation and parameter identification. The research of these articles is very distinctive and innovative, which provides new ideas and methods for the design and characteristic research of memristor chaotic system. These two papers apply memristor to signal detection and neural networks respectively, which are very novel. The application field of memristor is expanded.Finally, I'm appealing to researchers and readers to support Frontiers in physics. Please consider submitting your best research to Frontiers in physics.Thanks to all the staff of Frontiers in Physics, editors and reviewers.

A novel image encryption scheme based on memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion

In recent years, many researchers have leveraged various memristors to design many novel memristive chaotic systems with complex dynamics. Compared with other chaotic systems, applying these memristive chaotic systems to image encryption is expected to solve some key problems in this field. Therefore, exploiting a recently reported memristive chaotic system, this paper proposes a novel image encryption scheme based on the memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion (IES-M-BD). First, a discrete memristive chaotic map is employed to generate chaotic sequences. Then, the plaintext image is shifted circularly on bit-level according to chaotic sequences and the hash value of the plaintext image. After that, the shifted matrix is recombined on the bit plane and encoded dynamically by DNA encoding rules. Next, dynamic DNA-level diffusion and DNA-level permutation are carried out in two rounds. Finally, the encrypted image is obtained after dynamic DNA decoding. Simulation tests and performance analyses are also carried out in this paper. The simulation results and the security analyses demonstrate that this encryption scheme has a high security level and can resist various attacks.

FPGA Implementation of Reconfigurable CORDIC Algorithm and a Memristive Chaotic System With Transcendental Nonlinearities

Coordinate Rotation Digital Computer (CORDIC) is a robust iterative algorithm that computes many transcendental mathematical functions. This paper proposes a reconfigurable CORDIC hardware design and FPGA realization that includes all possible configurations of the CORDIC algorithm. The proposed architecture is introduced in two approaches: multiplier-less and single multiplier approaches, each with its advantages. Compared to recent related works, the proposed implementation overpasses them in the included number of configurations. Additionally, it demonstrates efficient hardware utilization and suitability for potential applications. Furthermore, the proposed design is applied to a memristive chaotic system with different transcendental functions computed using the proposed reconfigurable block. The memristive system design is realized on the Artix-7 FPGA board, yielding throughputs of 0.4483 and 0.3972 Gbit/s for the two approaches of reconfigurable CORDIC.

Parameter Identification for Memristive Chaotic System Using Modified Sparrow Search Algorithm

A memristor is a non-linear element. The chaotic system constructed by it can improve its unpredictability and complexity. Parameter identification of a memristive chaotic system is the primary task to implement chaos control and synchronization. To identify the unknown parameters accurately and quickly, we introduce the Sine Pareto Sparrow Search Algorithm (SPSSA), a modified sparrow search algorithm (SSA). in this research. Firstly, we introduce the Pareto distribution to alter the scroungers’ location in the SSA. Secondly, we use a sine-cosine strategy to improve the producers’ position update. These measures can effectively accelerate the convergence speed and avoid local optimization. Thirdly, the SPSSA is used to identify the parameters of a memristive chaotic system. The proposed SPSSA exceeds the classic SSA, particle swarm optimization algorithm (PSO), and artificial bee colony algorithm (ABC) in simulations based on the five benchmark functions. The simulation results of parameter identification of a memristive chaotic system show that the method is feasible, and the algorithm has a fast convergence speed and high estimation accuracy.

Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs

A predefined-time chaos synchronization scheme of memristor chaotic systems with simplified control inputs is investigated. Firstly, a predefined-time synchronization (PTS) scheme with full control inputs (four control inputs) is developed. Secondly, a PTS scheme with simplified control inputs (two control) inputs is developed. Thirdly, a nonsingular method is proposed to eliminate the singular problem existed in the PTS scheme. Compared with existing finite-time synchronization (FTS), the proposed scheme exhibits the two attractive features: i) unlike the convergence time of FTS schemes is unclear if the initial system conditions are uncertain, the proposed PTS scheme can achieve a convergence time which is bounded by a predefined constant; ii) the proposed PTS scheme only needs two simplified control inputs rather than four control inputs of existing FTS schemes. Finally, the control performance of the proposed PTS is illustrated by comparing with conventional FTS scheme.

A Simple memristive chaotic system with complex dynamics and ITS image encryption application

In this paper, a new memristive chaotic system with a relatively simple structure and complex dynamic behavior is proposed by introducing an absolute memristor into the VB19 chaotic system as a positive feedback term. The analysis shows that the new system is a fractional dimensional dissipative system and is unstable at the line equilibrium point. The system’s dynamic characteristics are studied using a bifurcation diagram and Lyapunov exponent’s spectrum. The numerical simulation shows that the period-doubling bifurcation phenomenon occurs when changing the parameters and system change from period to chaos. When the initial condition changes, the dynamic evolution of the system indicates that the coexistence of multiple attractors and chaotic signals can be controlled by local amplitude. In addition, a new image encryption algorithm based on the system is designed and the performance of this algorithm is tested through numerical analyses. The system’s analog circuit is built using electronic components and also realized by the microprocessor. The circuit realization results consistent with the numerical simulation results are obtained to verify the physical existence of the system.

Image encryption based on a novel memristive chaotic system, Grain-128a algorithm and dynamic pixel masking

In this paper, we first propose a memristive chaotic system and implement it by circuit simulation. The chaotic dynamics and various attractors are analysed by using phase portrait, bifurcation diagram, and Lyapunov exponents. In particular, the system has robust chaos in a wide parameter range and the initial value space, which is favourable to the security communication application. Consequently, we further explore its application in image encryption and present a new scheme. Before image processing, the external key is protected by the Grain-128a algorithm and the initial values of the memristive system are updated with the plain image. We not only perform random pixel extraction and masking with the chaotic cipher, but also use them as control parameters for Brownian motion to obtain the permutation matrix. In addition, multiplication on the finite field GF(2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">8</sup> ) is added to further enhance the cryptography. Finally, the simulation results verify that the proposed image encryption scheme has better performance and higher security, which can effectively resist various attacks.

A Chaos-Based Image Encryption Scheme Using the Hamming Distance and DNA Sequence Operation

In this study, we introduced a new memristive chaotic system with the rich dynamic behavior, and then we proposed a chaotic-based image encryption scheme which is based on the permutation–confusion–substitution structure. In our scheme, the Hamming distance is used to design a plain-related chaotic system initial condition, and the generated chaotic sequences are assigned to permutation, diffusion, and substitution stages. In the permutation stage, an effect pixel confusion is implemented through a new permutation approach, which is a double-ended select-swap scrambling strategy. In the diffusion stage, DNA XOR operation is implemented followed by DNA triploid mutation which is introduced to enhance the strength of our encryption system. A number of experiments and extensive safety analysis have been carried out and the results fully justify that our scheme not only ensures desirable security but also has superior efficiency.

A Chaotic System With Infinite Attractors Based on Memristor

In this article, a memristor chaotic system is constructed by introducing a cosine function flux control memristor. By analyzing the balance of the system, it is found that there are coexisting attractors, and because of the periodicity of cosine function, the chaotic system has infinite coexisting attractors. The complexity analysis of Spectral Entropy (SE) and C0 is used in this paper to intuitively show the complex dynamic characteristics of the system. In addition, the introduction of paranoid propulsion also provides more possibilities for the system in engineering applications. Finally, the digital signal processing (DSP) experiment verifies the correctness of theoretical analysis and numerical analysis.

A new continuous memristive chaotic system with multistability and amplitude control

A new continuous memristive chaotic system with multistability and amplitude control

Adaptive finite-time synchronization of fractional-order memristor chaotic system based on sliding-mode control

Adaptive finite-time synchronization of fractional-order memristor chaotic system based on sliding-mode control

Design an irreversible key expansion algorithm based on 4D memristor chaotic system

Design an irreversible key expansion algorithm based on 4D memristor chaotic system