Generating <i>n</i>-Scroll Chaotic Attractors From a Memristor-Based Magnetized Hopfield Neural Network

Lin, Hairong; Wang, Chunhua; Sun, Yichuang; Wang, Ting

doi:10.1109/tcsii.2022.3212394

Cited by 62 publications

(30 citation statements)

References 26 publications

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“…With the deepening of research on chaotic image encryption technology, chaotic image encryption algorithms are mainly divided into three categories [ 17 , 18 ]. The first type is encryption by a self-synchronous stream cipher, which does not require an additional secure channel and is practical [ 19 , 20 , 21 , 22 , 23 ]. The second type is encryption related to plaintext; this scheme has no equivalent key, and it is difficult to crack, but the premise is that additional parameters, such as the hash value, need to be assumed to be transmitted through an additional secure channel, which is not practical.…”

Section: Introductionmentioning

confidence: 99%

A Novel Chaotic Image Encryption Scheme Armed with Global Dynamic Selection

Chen

Wang

Liu

et al. 2023

Entropy

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Due to the equivalent keys revealed by a chosen-plaintext attack or a chosen-ciphertext attack, most of the existing chaotic image encryption schemes are demonstrated to be insecure. In order to improve security performance, some scholars have recently proposed the plaintext-related chaotic image encryption scheme. Although the equivalent effect of a one-time pad is achieved, an additional secure channel is required to transmit the hash values or other parameters related to the plaintext before the ciphertext can be decrypted at the receiving end. Its main drawback is that an absolutely secure channel is needed to transmit the information related to the plaintext, which is not feasible in practical applications. To further solve this problem, this paper proposes a chaotic image encryption scheme based on global dynamic selection of a multi-parallel structure. First, a chaotic sequence is employed to dynamically select DNA encoding rules. Secondly, the permutation with a multi-parallel structure is performed on the DNA-encoded matrix, and the DNA decoding rules are dynamically selected according to another chaotic sequence. Finally, the diffusion rules obtained by the ciphertext feedback mechanism are introduced to determine the dynamic diffusion. Compared with the existing local dynamic encryption schemes, the main advantage of this scheme is that it can realize global dynamic selection, so as to ensure that there is no equivalent key, and it can resist the chosen-ciphertext attack or chosen-plaintext attack and does not need an additional secure channel to transmit parameters related to plaintext, which is practical. A theoretical analysis and numerical experiments demonstrate the feasibility of the method.

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Section: Introductionmentioning

confidence: 99%

A Novel Chaotic Image Encryption Scheme Armed with Global Dynamic Selection

Chen

Wang

Liu

et al. 2023

Entropy

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“…Since then, chaos synchronization control has become a very active research topic [4][5][6][7][8][9][10][11][12][13][14][15][16], for example, projective synchronization control and hybrid function projective synchronization control. Many control methods have been used to synchronize different chaotic systems, such as feedback linearization method [17], optimal control [18], and neural network control [19][20][21][22][23][24]. However, few people study the problem of chaos synchronization on a finite time interval.…”

Section: Introductionmentioning

confidence: 99%

A new adaptive iterative learning control of finite-time hybrid function projective synchronization for unknown time-varying chaotic systems

et al. 2023

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A new adaptive iterative learning control (AILC) scheme is proposed to solve the finite-time hybrid function projective synchronization (HFPS) problem of chaotic systems with unknown periodic time-varying parameters. Fourier series expansion (FSE) is introduced to deal with the problem of uncertain time-varying parameters. The bound of the expanded remaining items is unknown. A typical convergent series is used to deal with the unknown bound in the design process of the controller. The adaptive iterative learning synchronization controller and parameter update laws are designed. Two different chaotic systems are synchronized asymptotically according to different proportional functions on a finite time interval by Lyapunov stability analysis. The simulation example proves the feasibility and effectiveness of the proposed method.

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“…Chaos is a physical phenomenon highly sensitive to initial value. Its development and the related research have made great progress in just a few decades, meanwhile, the study of the chaotic system [1][2][3][4][5][6][7][8][9][10][11] has gradually expanded to weather, finance, communication and other fields. Due to the study of the chaotic system model, many different types of chaotic systems have been derived, such as the discrete chaotic system [12][13][14], the memristor chaotic system, the hyperchaotic system [15][16][17][18] and so on.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

2022

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In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor and symmetric attractors. By analyzing the equilibrium point of the system, it is proven that the system has the property of a hidden chaotic attractor. The dynamic behavior of the system when the three parameters change is analyzed by means of LEs and a Bifurcation diagram. Other phenomenon, such as chaos degradation, coexistence of multiple attractors and bias boosting, are also found. Finally, the simulation on the DSP platform also verifies the accuracy of the chaotic system simulation. The theoretical analysis and simulation results show that the system has rich dynamical characteristics; therefore, it is suitable for secure communication and image encryption and other fields.

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Generating n-Scroll Chaotic Attractors From a Memristor-Based Magnetized Hopfield Neural Network

Cited by 62 publications

References 26 publications

A Novel Chaotic Image Encryption Scheme Armed with Global Dynamic Selection

A Novel Chaotic Image Encryption Scheme Armed with Global Dynamic Selection

A new adaptive iterative learning control of finite-time hybrid function projective synchronization for unknown time-varying chaotic systems

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

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