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Impulsive Synchronization of Reaction–Diffusion Neural Networks With Mixed Delays and Its Application to Image Encryption
Abstract
This paper presents a new impulsive synchronization criterion of two identical reaction-diffusion neural networks with discrete and unbounded distributed delays. The new criterion is established by applying an impulse-time-dependent Lyapunov functional combined with the use of a new type of integral inequality for treating the reaction-diffusion terms. The impulse-time-dependent feature of the proposed Lyapunov functional can capture more hybrid dynamical behaviors of the impulsive reaction-diffusion neural networks than the conventional impulse-time-independent Lyapunov functions/functionals, while the new integral inequality, which is derived from Wirtinger's inequality, overcomes the conservatism introduced by the integral inequality used in the previous results. Numerical examples demonstrate the effectiveness of the proposed method. Later, the developed impulsive synchronization method is applied to build a spatiotemporal chaotic cryptosystem that can transmit an encrypted image. The experimental results verify that the proposed image-encrypting cryptosystem has the advantages of large key space and high security against some traditional attacks.
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The approach of Dridi et al. uses an extensive key generation mechanism in addition to a neural network and logistic map, which significantly increases its algorithm processing time.
“The approach of Dridi et.al. uses an extensive key generation mechanism apart from using neural network and logistic map which significantly increases algorithm processing time [55].”
From A Faster and Robust Artificial Neural Network Based Image Encryption Technique With Improved SSIM (2024) · cites this paper as [55]
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Cited by
Sorted by citations
A Faster and Robust Artificial Neural Network Based Image Encryption Technique With Improved SSIM
Panigrahy, A. K., Maniyath, S. R., Sathiyanarayanan, M., Dholvan, M., Ramaswamy, T., Hanumanthakari, S., Vignesh, N. A., Kanithan, S., & Swain, R. (2024) · IEEE Access · doi:10.1109/access.2024.3353294 · Cited by 42
Metadata
- Authors
- Chen, W.-H., Luo, S., & Zheng, W. X.
- Affiliations
- Guangxi University (CN)
- Western Sydney University (AU)
- Venue
- IEEE Transactions on Neural Networks and Learning Systems
- Published
- 2016-12
- Volume
- 27
- Issue
- 12
- Pages
- 2696-2710
- ISSN
- 2162-237X (ISSN-L)
- 2162-2388
- OpenAlex
- W2259261597
- Cited by
- 280
- References
- 0
- Citations by year
- 2026: 18 · 2025: 23 · 2024: 27 · 2023: 34 · 2022: 33 · 2021: 34 · 2020: 35 · 2019: 29 · 2018: 22 · 2017: 21 · 2016: 4
- FWCI
- 23.90
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Neural Networks and Learning Systems (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Natural Science Foundation of China (61573111)
- Guangxi Natural Science Foundation (2013GXNSFDA019003, 2015GXNSFAA139003)
- Innovation Project of Guangxi Graduate Education (YCSZ2015031)
- Australian Research Council (DP120104986)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Keywords
- impulsive synchronization, reaction-diffusion neural networks, mixed delays, distributed delay, discrete delay, integral inequalities, Wirtinger inequality, spatiotemporal chaos, image encryption, chaotic cryptosystem, key space
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