Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network
Abstract
:1. Introduction
2. Description of the FMHNN
2.1. Caputo Fractional-Order Derivative and ADM
2.2. The FMHNN Model
3. Dynamics Analysis and Numerical Simulations
3.1. Phase Portraits of Multi-Scroll with Different Parameter
3.2. Bifurcation of FMHNN with Different Parameters
3.2.1. Bifurcation with Synaptic Coupling Strength k
3.2.2. Bifurcation with Different Order q
3.3. Multiple Coexisting Attractors and Basins of Attractor
4. Audio Encryption Application in IoT under MQTT Protocol
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Topic | After SHA256 |
---|---|
KEY | 2c70e12b7a0646f92279f427c7b38e7334d8e5389cff167a1dc30e73f826b683 |
INIT | bb54068aea85faa7e487530083366be9962390af822e4c71ef1aca7033c83e66 |
AUDIO | 6ed8919ce20490a5e3ad8630a4fab69475297abd07db73918dd5f36fcfaeb11b |
Device | Role | IP Adress |
---|---|---|
Raspberry Pi 1 | Publisher Alice | 192.168.137.149 |
Laptop | Broker Server&Eve | 192.168.137.1 |
Raspberry Pi 2 | Subscriber Bob | 192.168.137.174 |
Reference | System | Main Technique | Data Type | Implemented Device | Cost of Large-Scale Deployment | Difficulty of Implementation |
---|---|---|---|---|---|---|
Ref. [19] | Ordinary memristive Hopfield neural network | PRNG | Picture | FPGA | High | High |
Ref. [53] | Multiple different systems | Local MQTT | Picture | Raspberry Pi | Low | Low |
Ref. [71] | Logistic map | Double K-L transformation algorithm | Picture | DSP | Low | High |
This paper | Multi-scroll fractional-order memristive hopfield neural network | Cloud MQTT | Audio | Raspberry Pi and high-performance Server | Low | Low |
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Yu, F.; Yu, Q.; Chen, H.; Kong, X.; Mokbel, A.A.M.; Cai, S.; Du, S. Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network. Fractal Fract. 2022, 6, 370. https://doi.org/10.3390/fractalfract6070370
Yu F, Yu Q, Chen H, Kong X, Mokbel AAM, Cai S, Du S. Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network. Fractal and Fractional. 2022; 6(7):370. https://doi.org/10.3390/fractalfract6070370
Chicago/Turabian StyleYu, Fei, Qiulin Yu, Huifeng Chen, Xinxin Kong, Abdulmajeed Abdullah Mohammed Mokbel, Shuo Cai, and Sichun Du. 2022. "Dynamic Analysis and Audio Encryption Application in IoT of a Multi-Scroll Fractional-Order Memristive Hopfield Neural Network" Fractal and Fractional 6, no. 7: 370. https://doi.org/10.3390/fractalfract6070370