Survey of Recent Applications of the Chaotic Lozi Map

• Published in: Algorithms Vol. 16; no. 10; p. 491
• Main Author: Lozi, René
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.10.2023; MDPI
• Subjects: Algorithms; applications; chaotic attractor; control of chaos; Control theory; Cryptography; Dynamical Systems; Electric components; Evolutionary algorithms; Evolutionary computation; fractional Lozi map; International conferences; Lozi map; Mathematical optimization; Mathematics; memristor; Optimization; Particle swarm optimization; Swarm intelligence; Synchronism; United Kingdom; Germany; France; self-organizing migrating algorithm (SOMA); solitary states; cryptography; fuzzy synchronization; chaotic attractor; fractional Lozi map; chimera; differential evolution (DE); chaotic benchmark; memristor; synchronization; control of chaos; Lozi map; particle swarm optimization (PSO); applications
• ISSN: 1999-4893; 1999-4893
• DOI: 10.3390/a16100491

Since its original publication in 1978, Lozi’s chaotic map has been thoroughly explored and continues to be. Hundreds of publications have analyzed its particular structure and applied its properties in many fields (e.g., improvement of physical devices, electrical components such as memristors, cryptography, optimization, evolutionary algorithms, synchronization, control, secure communications, AI with swarm intelligence, chimeras, solitary states, etc.) through algorithms such as the COLM algorithm (Chaotic Optimization algorithm based on Lozi Map), Particle Swarm Optimization (PSO), and Differential Evolution (DE). In this article, we present a survey based on dozens of articles on the use of this map in algorithms aimed at real applications or applications exploring new directions of dynamical systems such as chimeras and solitary states.