New chaotic memristive cellular neural network and its application in secure communication system

Xiu, Chunbo; Zhou, Ruxia; Liu, Yuxia

doi:10.1016/j.chaos.2020.110316

Cited by 71 publications

(22 citation statements)

References 25 publications

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“…Computer simulation figures are displayed to sustain the rationality of the established conclusions. is study generalizes and supplements the research of Xiu et al (2020).…”

supporting

confidence: 60%

“…It is public knowledge that that neural networks own broad application prospects in numerous aspects and many demesnes such as pattern recognition, artificial intelligence, graph manipulation, psychophysics, control engineering, bioscience, and so on [1][2][3]. Generally speaking, time delay usually arises in artificial neural networks and biological systems due to the time lag of signal transmission.…”

Section: Introductionmentioning

confidence: 99%

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New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

Tang

2021

Journal of Mathematics

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In the current work, we are devoted to the issue of uniform stability of fractional-order quaternion-valued neural networks involving discrete and leakage delays. Making use of the contracting mapping theory, we prove that the equilibrium point of the involved fractional-order quaternion-valued neural networks exists and is unique. Taking advantage of mathematical analysis strategy, a sufficient criterion involving delay to verify the global uniform stability for the considered fractional-order quaternion-valued neural networks is set up. Computer simulation figures are displayed to sustain the rationality of the established conclusions. This study generalizes and supplements the research of Xiu et al. (2020).

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“…Computer simulation figures are displayed to sustain the rationality of the established conclusions. is study generalizes and supplements the research of Xiu et al (2020).…”

supporting

confidence: 60%

Section: Introductionmentioning

confidence: 99%

New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

Tang

2021

Journal of Mathematics

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“…It is often organically combined with other circuit elements to construct application circuits, such as memristive chaotic circuits [5][6][7], memristive neuromorphic circuits [8][9][10] and so on [11]. In particular, memristive neuromorphic circuits can mimic the functions of biological neurons and neural networks, which can exhibit rich and complex firing mechanisms, like spike [12], burst [13][14][15], cycle [16] and chaos [17][18][19][20]. These studies on firing mechanism provide theoretical basis and guidance for practical physiological experiments, which is helpful to promote the development of neuromedicine and neuroscience.…”

Section: Introductionmentioning

confidence: 99%

Firing Mechanism Based on Single Memristive Neuron and Double Memristive Coupled Neurons

Shen

Wang

et al. 2022

Preprint

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Memristive neurons and memristive neural networks constructed based on memristors have important research significance for revealing the mystery of the brain. This paper proposes a compound hyperbolic tangent cubic nonlinear memristor, which has nonvolatile memory characteristics and local activity characteristics. In particular, the memristor also has three stable pinched hysteresis loops under different initial values. The memristor is applied to Fitzhugh-Nagumo neuron and Hindmarsh-Rose neuron to establish five different memristive neural models, and a series of firing dynamics analysis are carried out on them. At the same time, we not only discuss multiple firing patterns on a single memristive neuron and double memristive coupled neurons, but also compare which neuron and which coupled neural network the proposed memristor is more suitable for, which is a lack of comprehensive investigation in the published research. Furthermore, digital circuit experiment is performed on the FPGA development board to verify the firing mechanism of these memristive neural models, which has potential application value for some practical projects.

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“…By considering the sum of time and space of external input and feedback input from chaotic neurons, a chaotic neural network can be constructed with chaotic neurons. e study in [14] proposed a new fourdimensional chaotic neural memory cell neural network, studied its dynamic behaviors, and designed chaotic synchronization based on sliding mode control. e proposed chaotic memory CNN system can be used for secure communication.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and FPGA Implementation of New Chaotic Neural Network and Optimization of Traveling Salesman Problem

Cui

Chen

2021

Complexity

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A neural network is a model of the brain’s cognitive process, with a highly interconnected multiprocessor architecture. The neural network has incredible potential, in the view of these artificial neural networks inherently having good learning capabilities and the ability to learn different input features. Based on this, this paper proposes a new chaotic neuron model and a new chaotic neural network (CNN) model. It includes a linear matrix, a sine function, and a chaotic neural network composed of three chaotic neurons. One of the chaotic neurons is affected by the sine function. The network has rich chaotic dynamics and can produce multiscroll hidden chaotic attractors. This paper studied its dynamic behaviors, including bifurcation behavior, Lyapunov exponent, Poincaré surface of section, and basins of attraction. In the process of analyzing the bifurcation and the basins of attraction, it was found that the network demonstrated hidden bifurcation phenomena, and the relevant properties of the basins of attraction were obtained. Thereafter, a chaotic neural network was implemented by using FPGA, and the experiment proved that the theoretical analysis results and FPGA implementation were consistent with each other. Finally, an energy function was constructed to optimize the calculation based on the CNN in order to provide a new approach to solve the TSP problem.

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New chaotic memristive cellular neural network and its application in secure communication system

Cited by 71 publications

References 25 publications

New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

Firing Mechanism Based on Single Memristive Neuron and Double Memristive Coupled Neurons

Dynamic Analysis and FPGA Implementation of New Chaotic Neural Network and Optimization of Traveling Salesman Problem

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