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We propose a new image encryption algorithm (IEA) that leverages this map alongside fractal theory and global cross-coupled diffusion techniques. The 2D-PECLSM generates two essential chaotic sequences for secure encryption and based on this map associated with fractal theory processes. Each pixel of the plain image is effectively confused using a fractal matrix and globally diffused, ensuring robust protection of visual data. Experimental results demonstrate that the 2D-PECLSM-based IEA significantly outperforms the existing state-of-the-art IEAs, highlighting its potential as a powerful tool for enhancing image security against digital threats. This work contributes valuable insights to the field of cryptography, emphasizing the need for innovative approaches to safeguard sensitive visual information.<\/jats:p>","DOI":"10.1142\/s0218127425500488","type":"journal-article","created":{"date-parts":[[2025,2,28]],"date-time":"2025-02-28T08:26:03Z","timestamp":1740731163000},"source":"Crossref","is-referenced-by-count":3,"title":["A New 2D-PECLSM Map with Hyperchaotic Properties for Image Encryption Application"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2245-8085","authenticated-orcid":false,"given":"Wenqiang","family":"Zhang","sequence":"first","affiliation":[{"name":"Network and Computing Center, Shenyang Institute of Engineering, Shenyang, Liaoning, P. R. 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