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

Article Computer Science, Artificial Intelligence

A novel pixel-split image encryption scheme based on 2D Salomon map

Qiang Lai et al.

Summary: This paper presents a novel chaos-based encryption scheme using a two-dimensional Salomon map to protect images from being captured or attacked. Experimental results show that the scheme has excellent cryptographic effect and security.

EXPERT SYSTEMS WITH APPLICATIONS (2023)

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Article Mathematics, Interdisciplinary Applications

Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption

Qiang Lai et al.

Summary: This paper presents a novel neuron model by coupling a memristor to obtain a memristive neuron model. The study shows that memristor can enhance the chaos complexity of the discrete neuron, resulting in hyperchaos. Additionally, a new encryption scheme for image encryption is proposed, which exhibits excellent security characteristics.

CHAOS SOLITONS & FRACTALS (2022)

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Article Automation & Control Systems

Initials-Boosted Coexisting Chaos in a 2-D Sine Map and Its Hardware Implementation

Han Bao et al.

Summary: This article introduces a simple 2-D sine map for generating complex chaotic sequences and boosting oscillating amplitudes by switching initial states. Experimental results demonstrate nondestructive control of chaotic sequences, making it suitable for various engineering applications.

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS (2021)

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Article Physics, Multidisciplinary

A memristive map with coexisting chaos and hyperchaos*

Sixiao Kong et al.

Summary: By introducing a discrete memristor and periodic sinusoidal functions, a two-dimensional map with coexisting chaos and hyperchaos is constructed in this study. Various coexisting chaotic and hyperchaotic attractors under different Lyapunov exponents are discovered, along with capturing other regimes of coexistence such as coexisting chaos, quasi-periodic oscillation, and discrete periodic points. Additionally, the hyperchaotic attractors can be flexibly controlled to be unipolar or bipolar by newly embedded constants, providing potential applications in artificial intelligence.

CHINESE PHYSICS B (2021)

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Article Materials Science, Multidisciplinary

Chaos in the discrete memristor-based system with fractional-order difference

Yuexi Peng et al.

Summary: This paper investigates an interesting second-order memristor-based map model using Caputo fractional-order difference, and explores its dynamic behaviors through various analysis methods. The numerical simulations show that the fractional-order system exhibits a range of complex behaviors, laying a solid foundation for future analysis and engineering applications of discrete memristors.

RESULTS IN PHYSICS (2021)

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Article Physics, Multidisciplinary

Embedding any desired number of coexisting attractors in memristive system*

Chunbiao Li et al.

Summary: The study selects a simple variable-boostable system to host a memristor for chaos production, leading to a three-dimensional memristive chaotic system with control over offset, amplitude, and frequency. Through attractor doubling and self-reproducing, any desired number of coexisting attractors are embedded, with two classes of control gates identified for determining the number of attractors and selecting initial conditions. Circuit simulation validates the theoretically predicted embedded attractors.

CHINESE PHYSICS B (2021)

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Article Physics, Applied

Symmetric coexisting attractors and extreme multistability in chaotic system

Xiaoxia Li et al.

Summary: This paper introduces a new four-dimensional chaotic system with symmetric coexisting bifurcation behaviors and four coexisting attractors. By replacing the coupling resistor, a four-dimensional memristive chaotic system is constructed, showing extreme multistability phenomenon. The dynamics of the systems are fully analyzed using phase portraits, Lyapunov exponent spectra, and coexisting bifurcation diagrams.

MODERN PHYSICS LETTERS B (2021)

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Article Engineering, Mechanical

Nonparametric bifurcation mechanism in 2-D hyperchaotic discrete memristor-based map

Yue Deng et al.

Summary: A new n-dimensional generalized DM model is proposed in this paper based on discrete theory, along with two 2-D discrete mathematical models that satisfy the three characteristics of memristors. By applying the mathematical model to the Sine map, a new hyperchaotic map called DM-S is obtained. The dynamical behaviors of DM-S including nonparametric bifurcation and hyperchaos are explored through phase diagrams, bifurcation diagrams, and Lyapunov exponent spectrums.

NONLINEAR DYNAMICS (2021)

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Article Mathematics, Interdisciplinary Applications