Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors

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

doi:10.1109/access.2019.2911486

Cited by 17 publications

(17 citation statements)

References 38 publications

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“…According to their dimensions, existing chaotic systems can be divided into low-dimensional chaotic systems and high-dimensional chaotic systems [9][10][11][12][13][14][15]. The author of [9] presented a four-dimensional quadratic autonomous hyperchaotic system based on the Lorenz system, which has only one hyperchaotic attractor.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of [10] presented a four-wing hyperchaotic memristive system that generates a four-wing hyperchaotic attractor with the unusual feature of having a line equilibrium. The authors of [11] presented a new four-dimensional hyperchaotic system with coexisting attractors, which has several dynamic behaviours and utilizes a hyperchaotic system constructor state-error controller. The authors of [12] presented a new fourdimensional chaotic system with multi-wing and coexisting attractors and simulated its circuit.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

Fang

Liu

2021

IEEE Access

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This paper proposes a novel chaotic block image encryption algorithm based on deep convolutional generative adversarial networks (DCGANs), quaternions, an improved Feistel network, and an overall scrambling and diffusion mechanism. First, a new hyperchaotic system is introduced and combined with DCGANs to generate a random sequence with better randomness and complexity as a key stream. This sequence is then combined with a quaternion and an improved Feistel network encryption of a colour plaintext image by utilizing the key block matrix to ultimately achieve overall scrambling and diffusion of the cipher image. Finally, the security of this algorithm is quantitatively and qualitatively analysed. The simulation results show that the proposed hyperchaotic system has a large key space and good random characteristics and that the new algorithm yields adequate security and can resist brute-force attacks and chosen-plaintext attacks. Therefore, this approach provides a new way to achieve secure transmission and protection of image information. INDEX TERMS Image encryption, chaotic system, deep convolutional generative adversarial networks.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

Fang

Liu

2021

IEEE Access

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“…Also, interesting contributions have been proposed in [11], [17], [19], [20], [23], [26], [60], [66]- [68]. However, in these works, the usage of disturbances in the stability and convergence analysis was not considered.…”

Section: Introductionmentioning

confidence: 99%

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Gularte¹,

Alves²,

Vargas³

et al. 2021

IEEE Access

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This paper proposes a scheme for secure telecommunication based on the projective synchronization of hyperchaotic systems. The design of the synchronizer considers the presence of disturbances to increase the robustness of the method. The main advantage of the proposed approach lies in that only two control inputs are required to synchronize the master and slave systems. Hence, the control structure is simple, which, in turn, simplifies the applications. Based on Lyapunov theory, the proposed approach ensures the finite-time convergence of the synchronization error to a small neighborhood of the origin, even in the presence of disturbances in all states. Simulations to both show the advantages and applications of the proposed approach were also accomplished to validate the theory.

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“…The most representative ones are three-dimensional continuous chaotic systems represented by autonomous ordinary differential equations, such as the Lü system [2,3], Rössler system [4], Chen system [5], and some other typical chaotic systems [6][7][8][9][10][11]. Various four-dimensional chaotic systems or hyperchaotic systems can be obtained by adding linear or nonlinear state feedback controllers based on three-dimensional chaotic systems [12][13][14]. In addition, various multi-wing or multi-scroll chaotic systems can be obtained by modifying multi-segment linear or nonlinear functions to increase the number of exponential two equilibrium points [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A High Spectral Entropy (SE) Memristive Hidden Chaotic System with Multi-Type Quasi-Periodic and its Circuit

Liu

Liang

et al. 2019

Entropy

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As a new type of nonlinear electronic component, a memristor can be used in a chaotic system to increase the complexity of the system. In this paper, a flux-controlled memristor is applied to an existing chaotic system, and a novel five-dimensional chaotic system with high complexity and hidden attractors is proposed. Analyzing the nonlinear characteristics of the system, we can find that the system has new chaotic attractors and many novel quasi-periodic limit cycles; the unique attractor structure of the Poincaré map also reflects the complexity and novelty of the hidden attractor for the system; the system has a very high complexity when measured through spectral entropy. In addition, under different initial conditions, the system exhibits the coexistence of chaotic attractors with different topologies, quasi-periodic limit cycles, and chaotic attractors. At the same time, an interesting transient chaos phenomenon, one kind of novel quasi-periodic, and weak chaotic hidden attractors are found. Finally, we realize the memristor model circuit and the proposed chaotic system use off-the-shelf electronic components. The experimental results of the circuit are consistent with the numerical simulation, which shows that the system is physically achievable and provides a new option for the application of memristive chaotic systems.

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Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors

Cited by 17 publications

References 38 publications

A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

A High Spectral Entropy (SE) Memristive Hidden Chaotic System with Multi-Type Quasi-Periodic and its Circuit

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