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Symmetry
Volume 17
Issue 5
10.3390/sym17050801
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

A Novel 2D Hyperchaotic Map with Homogeneous Multistability and Its Application in Image Encryption

by
Xin Huang
1,
Wenhao Yan
2,
Wenjie Dong
3 and
Qun Ding
1,*
1
Electronic Engineering College, Heilongjiang University, Harbin 150080, China
2
College of Computer Science and Technology, Weinan Normal University, Weinan 714099, China
3
Beijing Aerospace Institute of Automatic Control, Beijing 100854, China
*
Author to whom correspondence should be addressed.
Symmetry 2025, 17(5), 801; https://doi.org/10.3390/sym17050801
Submission received: 13 April 2025 / Revised: 14 May 2025 / Accepted: 19 May 2025 / Published: 21 May 2025
(This article belongs to the Section Computer)
Versions Notes

Abstract

This study proposes a novel two-dimensional hyperchaotic map model based on an orthogonal feedback mechanism, exhibiting dynamic behaviors with multistable characteristics and high complexity. By analyzing the homogeneous multistability of the system, it is revealed that the initial states determine the positions of attractors. An image encryption scheme for color images is developed by integrating confusion and diffusion strategies with this hyperchaotic map. The effectiveness of the proposed scheme in enabling secure image transmission is validated through comprehensive numerical simulations and rigorous security assessments.
Keywords: hyperchaotic map; homogenous multistability; image encryption hyperchaotic map; homogenous multistability; image encryption

Share and Cite

MDPI and ACS Style

Huang, X.; Yan, W.; Dong, W.; Ding, Q. A Novel 2D Hyperchaotic Map with Homogeneous Multistability and Its Application in Image Encryption. Symmetry 2025, 17, 801. https://doi.org/10.3390/sym17050801

AMA Style

Huang X, Yan W, Dong W, Ding Q. A Novel 2D Hyperchaotic Map with Homogeneous Multistability and Its Application in Image Encryption. Symmetry. 2025; 17(5):801. https://doi.org/10.3390/sym17050801

Chicago/Turabian Style

Huang, Xin, Wenhao Yan, Wenjie Dong, and Qun Ding. 2025. "A Novel 2D Hyperchaotic Map with Homogeneous Multistability and Its Application in Image Encryption" Symmetry 17, no. 5: 801. https://doi.org/10.3390/sym17050801

APA Style

Huang, X., Yan, W., Dong, W., & Ding, Q. (2025). A Novel 2D Hyperchaotic Map with Homogeneous Multistability and Its Application in Image Encryption. Symmetry, 17(5), 801. https://doi.org/10.3390/sym17050801

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