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 784

Special Issue Editor


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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

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Keywords

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

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Published Papers (1 paper)

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Research

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
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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