Work

A New Hyperchaotic Map and Its Manifold of Conditional Symmetry

Year: 2026

Type: article

Abstract: In this work, the polarity balance of a novel two-dimensional hyperchaotic map is considered, and thus the corresponding manifold of conditional symmetry is coined. The unique map has a simple structure but provides direct 2-D offset boosting, which brings the possibility for the construction of conditional symmetry by introducing an absolute value function. The corresponding evolution of the discrete sequences from the system is verified by the circuit implementation based on the microcontroller of CH32V307. The pseudorandom data from the map increases its adaptability for applications in information security. The hyperchaotic sequence-injected Ant Colony Optimization (ACO), Grey Wolf Optimizer (GWO), and Sparrow Search Algorithm (SSA) show their improved performance in the optimization algorithm. Robot path planning experiments confirm that all three algorithms exhibit superior convergence performance, global search capability, and path smoothness compared with the original algorithms.

Source: Symmetry

DOI: 10.3390/sym18020212

Authors: Zhenxin Hu, Chunbiao Li, Xiaolong Qi, Ioannis P. Antoniades, Christos Volos

Institutions: Nanjing University of Information Science and Technology, Yili Normal University, Aristotle University of Thessaloniki

Language: English

Topic: Chaos-based Image/Signal Encryption

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China