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Mathematics
Special Issues
Complex System Dynamics and Image Processing
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Complex System Dynamics and Image Processing

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: 30 September 2025 | Viewed by 1318

Special Issue Editor

Dr. Hao Zhang

E-Mail Website
Guest Editor
College of Information & Computer, Taiyuan University of Technology, Taiyuan 030024, China
Interests: complexity and dynamical analysis; nonlinear analysis; complex network; image encryption; image hiding; image processing

Special Issue Information

Dear Colleagues,

The intersection of complex system dynamics and image processing represents a vibrant and expansive research domain within mathematics, attracting growing interest from disciplines such as system science, applied mathematics, statistics, theoretical physics, and computer science.  Complex system dynamics and image processing drive advancements in pattern recognition, anomaly detection, and feature extraction, thereby propelling fields like medical diagnosis, remote sensing, and computer vision forward. 

This Special Issue invites papers showcasing novel theoretical contributions across diverse realms of complex system dynamical analysis, including chaos, memristor dynamics, cellular automata, self-organizing nonlinear systems, and complex network dynamics, as well as various facets of image processing, including image encryption, steganography, watermarking, segmentation, compression, and reconstruction.  Submissions that explore the synergies between image processing with complexity and dynamics are also welcomed. Review articles will also be considered.

Dr. Hao Zhang
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • chaos
  • memristor
  • dynamics
  • nonlinear analysis
  • image encryption
  • image hiding
  • steganography
  • image compression
  • watermarking

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Published Papers (2 papers)

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Research

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18 pages, 7765 KiB  
Article
Secure Parallel Image Cryptographic Hash Function Using a Novel 2D High-Randomness Hyperchaotic Map
by Mingrui Qi and Dongdong Wang
Mathematics 2025, 13(11), 1890; https://doi.org/10.3390/math13111890 - 5 Jun 2025
Viewed by 316
Abstract
For image data, the processing of each pixel using a cryptographic hash function is linear, and the existing cryptographic hash function lacks parallel processing of image width and height. In order to improve the computational efficiency and ensure the security of the hash [...] Read more.
For image data, the processing of each pixel using a cryptographic hash function is linear, and the existing cryptographic hash function lacks parallel processing of image width and height. In order to improve the computational efficiency and ensure the security of the hash function in image cryptography, we design a 2D hyperchaotic map, whose good chaotic dynamics and randomness fully meet the needs of the hash function. Based on the proposed mapping, we propose an image-specific chaotic hash function for confusion diffusion and extraction in both width and height dimensions in parallel. The designed hash function of image cryptography can set some common hash lengths and also support the setting of key. For image data, the proposed method has higher computational efficiency than other common hash functions and has good encryption security and anti-collision characteristics. Full article
(This article belongs to the Special Issue Complex System Dynamics and Image Processing)
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Review

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28 pages, 3628 KiB  
Review
Chaotic Image Security Techniques and Developments: A Review
by Hao Zhang, Xiufang Feng, Jingyu Sun and Pengfei Yan
Mathematics 2025, 13(12), 1976; https://doi.org/10.3390/math13121976 - 15 Jun 2025
Viewed by 276
Abstract
With the rapid development and convergence of systems science, cryptography, and data science, chaos-based image information security has emerged as a prominent research area, drawing considerable attention from researchers in computer science, physics, and related disciplines. This paper aims to review the fundamental [...] Read more.
With the rapid development and convergence of systems science, cryptography, and data science, chaos-based image information security has emerged as a prominent research area, drawing considerable attention from researchers in computer science, physics, and related disciplines. This paper aims to review the fundamental concepts of chaos, as well as chaos-based image encryption, watermarking, and steganography. Building on this foundation, we analyze the evaluation standards, advancements, and applications of chaos-based image information security. Additionally, we propose several potential areas of focus for the future of chaos-based image information security, encouraging interested readers to pay attention to these crucial developments. Our analysis suggests that chaos can be effectively employed in plaintext image encryption, and that chaos-based watermarking and hiding techniques also hold promise. Full article
(This article belongs to the Special Issue Complex System Dynamics and Image Processing)
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