A new image encryption based on hybrid heterogeneous time-delay chaotic systems

Chaos theory has been widely utilized in password design, resulting in an encryption algorithm that exhibits strong security and high efficiency. However, rapid advancements in cryptanalysis technology have rendered single system generated sequences susceptible to tracking and simulation, compromisi...

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Main Authors: Yuzhen Zhou, Erxi Zhu
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024270?viewType=HTML
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author Yuzhen Zhou
Erxi Zhu
author_facet Yuzhen Zhou
Erxi Zhu
author_sort Yuzhen Zhou
collection DOAJ
description Chaos theory has been widely utilized in password design, resulting in an encryption algorithm that exhibits strong security and high efficiency. However, rapid advancements in cryptanalysis technology have rendered single system generated sequences susceptible to tracking and simulation, compromising encryption algorithm security. To address this issue, we propose an image encryption algorithm based on hybrid heterogeneous time-delay chaotic systems. Our algorithm utilizes a collection of sequences generated by multiple heterogeneous time-delay chaotic systems, rather than sequences from a single chaotic system. Specifically, three sequences are randomly assigned to image pixel scrambling and diffusion operations. Furthermore, the time-delay chaotic system comprises multiple hyperchaotic systems with positive Lyapunov exponents, exhibiting a more complex dynamic behavior than non-delay chaotic systems. Our encryption algorithm is developed by a plurality of time-delay chaotic systems, thereby increasing the key space, enhancing security, and making the encrypted image more difficult to crack. Simulation experiment results verify that our algorithm exhibits superior encryption efficiency and security compared to other encryption algorithms.
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spelling doaj.art-be18a31357744ac8bb2b4eddd4fa1ac32024-02-19T01:41:59ZengAIMS PressAIMS Mathematics2473-69882024-01-01935582560810.3934/math.2024270A new image encryption based on hybrid heterogeneous time-delay chaotic systemsYuzhen Zhou0 Erxi Zhu11. College of Internet of Things Engineering, Jiangsu Vocational College of Information Technology, No.1 Qianou Road, Huishan District, Jiangsu Wuxi, 214153, China1. College of Internet of Things Engineering, Jiangsu Vocational College of Information Technology, No.1 Qianou Road, Huishan District, Jiangsu Wuxi, 214153, China 2. College of Computer Science and Technology, Nanjing University of Aeronautics & Astronautics, No.29 Jiangjun Avenue, Jiangning District, Nanjing, 211106, ChinaChaos theory has been widely utilized in password design, resulting in an encryption algorithm that exhibits strong security and high efficiency. However, rapid advancements in cryptanalysis technology have rendered single system generated sequences susceptible to tracking and simulation, compromising encryption algorithm security. To address this issue, we propose an image encryption algorithm based on hybrid heterogeneous time-delay chaotic systems. Our algorithm utilizes a collection of sequences generated by multiple heterogeneous time-delay chaotic systems, rather than sequences from a single chaotic system. Specifically, three sequences are randomly assigned to image pixel scrambling and diffusion operations. Furthermore, the time-delay chaotic system comprises multiple hyperchaotic systems with positive Lyapunov exponents, exhibiting a more complex dynamic behavior than non-delay chaotic systems. Our encryption algorithm is developed by a plurality of time-delay chaotic systems, thereby increasing the key space, enhancing security, and making the encrypted image more difficult to crack. Simulation experiment results verify that our algorithm exhibits superior encryption efficiency and security compared to other encryption algorithms.https://www.aimspress.com/article/doi/10.3934/math.2024270?viewType=HTMLimage encryptionchaotic encryptionheterogeneous time-delay chaotic systemhopf bifurcationstability
spellingShingle Yuzhen Zhou
Erxi Zhu
A new image encryption based on hybrid heterogeneous time-delay chaotic systems
AIMS Mathematics
image encryption
chaotic encryption
heterogeneous time-delay chaotic system
hopf bifurcation
stability
title A new image encryption based on hybrid heterogeneous time-delay chaotic systems
title_full A new image encryption based on hybrid heterogeneous time-delay chaotic systems
title_fullStr A new image encryption based on hybrid heterogeneous time-delay chaotic systems
title_full_unstemmed A new image encryption based on hybrid heterogeneous time-delay chaotic systems
title_short A new image encryption based on hybrid heterogeneous time-delay chaotic systems
title_sort new image encryption based on hybrid heterogeneous time delay chaotic systems
topic image encryption
chaotic encryption
heterogeneous time-delay chaotic system
hopf bifurcation
stability
url https://www.aimspress.com/article/doi/10.3934/math.2024270?viewType=HTML
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