A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks

Mathematics, Journal Year: 2023, Volume and Issue: 11(6), P. 1369 - 1369

Published: March 11, 2023

Since the Lorenz chaotic system was discovered in 1963, construction of systems with complex dynamics has been a research hotspot field chaos. Recently, memristive Hopfield neural networks (MHNNs) offer great potential design complex, because their special network structures, hyperbolic tangent activation function, and memory property. Many based on MHNNs have proposed exhibit various dynamical behaviors, including hyperchaos, coexisting attractors, multistability, extreme multi-scroll multi-structure initial-offset behaviors. A comprehensive review MHNN-based become an urgent requirement. In this review, we first briefly introduce basic knowledge Hopfiled network, memristor, dynamics. Then, different modeling methods are analyzed discussed. Concurrently, pioneering works some recent important papers related to reviewed detail. Finally, survey progress for application scenarios. Some open problems visions future presented. We attempt provide reference resource both chaos researchers those outside who hope apply particular application.

Language: Английский

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A family of memristive multibutterfly chaotic systems with multidirectional initial-based offset boosting

Chaos Solitons & Fractals, Journal Year: 2023, Volume and Issue: 172, P. 113518 - 113518

Published: May 15, 2023

Language: Английский

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A class of 2n+1 dimensional simplest Hamiltonian conservative chaotic systems and fast image encryption schemes

Applied Mathematical Modelling, Journal Year: 2023, Volume and Issue: 125, P. 351 - 374

Published: Oct. 6, 2023

Language: Английский

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Synchronization coexistence in a Rulkov neural network based on locally active discrete memristor

Chinese Physics B, Journal Year: 2023, Volume and Issue: 32(5), P. 058701 - 058701

Published: Feb. 8, 2023

At present, many neuron models have been proposed, which can be divided into discrete and continuous models. Discrete the advantage of faster simulation speed ease understanding complex dynamic phenomena. Due to properties memorability, nonvolatility, local activity, locally active memristors (LADMs) are also suitable for simulating synapses. In this paper, we use an LADM mimic synapses establish a Rulkov neural network model. It is found that change coupling strength initial state leads multiple firing patterns network. addition, considering influence parameters LADM, numerical analysis methods such as phase diagram timing used study synchronization. As system states change, coupled exhibits synchronization transition coexistence.

Language: Английский

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Image encryption scheme based on improved four-dimensional chaotic system and evolutionary operators

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: March 25, 2024

Abstract To enhance the security of image data transmission, and address weaknesses existing encryption schemes based on chaotic systems, particularly concerning resistance to differential attacks unstable performance this article introduces an improved four-dimensional system integrates evolutionary operators propose scheme. Firstly, a method for generating pseudo-random sequences associated with plaintext is designed. The change rate ciphertext pixel value exceeds 0.9967 after slight modification value, significantly improving sensitivity scheme's ability resist selected attacks. Secondly, individual rearrangement operation introduced achieve bit-level scrambling, pixel-level scrambling achieved by selection strategy. Subsequently, crossover mutation operations are incorporated into encryption. reflect randomness pairing, we adopt sequence generated control operators, diffusion performed pairs. Finally, feedback applied. Experimental results analysis demonstrate that proposed scheme not only enhances encrypted images but also effectively resists noise cropping This meets high-security requirements in network transmission provides new ideas further research field

Language: Английский

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A Fast Hyperchaotic Image Encryption Scheme

International Journal of Bifurcation and Chaos, Journal Year: 2023, Volume and Issue: 33(05)

Published: April 1, 2023

In this paper, we propose a fast hyperchaotic image encryption scheme based on RSVM and step-by-step scrambling-diffusion. scheme, firstly new algorithm named ring shrinkage with variable modulo (RSVM), which can randomly scramble the elements in one-dimensional array, are composed of row numbers or column pixel matrix to be encrypted. Before encryption, use generate two random arrays (i.e. array [Formula: see text] text]), each element represents row/column number matrix. Then rows/columns scrambled-diffused according text]. The initial control parameters controlled by SHA-256 plaintext pixels, controls scrambling-diffusion process matrix, rows columns, so small changes pixels will lead great differences ciphertext images. addition, overall time complexity is only text], greatly reduce cost. Finally, experimental results extensive security analysis prove efficiency feasibility method.

Language: Английский

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Hopfield neural network with multi-scroll attractors and application in image encryption

Multimedia Tools and Applications, Journal Year: 2023, Volume and Issue: 83(1), P. 97 - 117

Published: May 10, 2023

Language: Английский

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A Chaos-Enhanced Fractional-Order Chaotic System with Self-Reproduction Based on a Memcapacitor and Meminductor

Fractal and Fractional, Journal Year: 2023, Volume and Issue: 7(8), P. 582 - 582

Published: July 28, 2023

Chaotic signals generated by chaotic oscillators based on memory elements are suitable for use in the field of confidential communications because their very good randomness. But often maximum Lyapunov exponent is not high enough, so degree randomness enough. It can be chaos enhanced transforming it to fractional order using Caputo differential definition. In this paper, proposed hyperchaotic oscillator, extended a fractional-order form obtain chaos-enhanced memcapacitor meminductor system, which several different styles and attractors found. The dynamical behaviour system studied bifurcation diagrams, spectrums dimensions. multistability explored initial orbits, spectral entropy complexity examined. Finally, hardware implementation given, demonstrates effectiveness system. This study provides reference chaos-enhanced.

Language: Английский

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Modeling and hardware implementation of a class of Hamiltonian conservative chaotic systems with transient quasi-period and multistability

Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: 112(3), P. 2331 - 2347

Published: Dec. 30, 2023

Language: Английский

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Random Strip Peeling: A novel lightweight image encryption for IoT devices based on colour planes permutation

CAAI Transactions on Intelligence Technology, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 5, 2025

Abstract This paper introduces a novel lightweight colour image encryption algorithm, specifically designed for resource‐constrained environments such as Internet of Things (IoT) devices. As IoT systems become increasingly prevalent, secure and efficient data transmission becomes crucial. The proposed algorithm addresses this need by offering robust yet resource‐efficient solution encryption. Traditional relies on confusion diffusion steps. These stages are generally implemented linearly, but work new RSP (Random Strip Peeling) the step, which disrupts linearity in category using two different sequences generated 1D Tent Map with varying initial conditions. stage then employs an XOR matrix Logistic Map. Different evaluation metrics, entropy analysis, key sensitivity, statistical differential attacks resistance, robustness analysis demonstrate algorithm's lightweight, robust, efficient. scheme achieved average metric values 99.6056 NPCR, 33.4397 UACI, 7.9914 information SIPI dataset. It also exhibits time complexity size .

Language: Английский

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