# Chaotic Henon-Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
## 2 Related Works
This complexity, however, does not necessarily impede performance. In fact, despite the sophisticated dynamics at play, hyper-chaotic systems can match and often exceed the throughput rates of their non-chaotic and chaotic counterparts. This superior performance underscores the potential of hyper-chaotic systems in providing robust encryption mechanisms without compromising efficiency, making them a preferred choice in scenarios where security and performance are paramount [25; 26; 27; 28]. In [19; 27; 28; 35; 36; 37; 38], various hyper-chaotic approaches were utilized in image encryption to enhance security and efficiency. These methods leverage the complex behavior of hyper-chaotic systems, incorporating sophisticated techniques for key generation, pixel manipulation, and transformation processes. In [27], the authors presented an image encryption algorithm based on an improved 6D chaotic system, focusing on the security and efficiency of image transmission. It introduces a hyper-chaotic system with enhanced randomness, employs image preprocessing for key-space adjustment, and utilizes the hash value of the original image for key uniqueness. The algorithm includes row and column encryption matrices and employs the Arnold transformation, demonstrating robust security and high speed in encryption and decryption processes. In [19], the authors presented a quantum image encryption method using 3D Mobius scrambling and a 3D hyper-chaotic Henon map. It enhances image encryption by altering pixel locations and gray values, offering better performance in the key space, histogram variance, and correlation coefficient compared to recent algorithms. The approach combines pixel-level scrambling, controlled XOR diffusion, and chaotic sequences for improved security and reliability. In [35], the authors introduced a color image encryption method named EDPD, integrating SHA-512, a 4D hyper-chaotic system, and eight-base DNA-level permutation and diffusion. It aims to enhance image encryption by improving the key space, histogram variance, and correlation coefficient metrics. The method involves generating initial chaotic system values using SHA-512, creating a hyper-chaotic sequence, and performing multiple permutation and diffusion operations with dynamic DNA encoding. The EDPD shows promising results in color image encryption and resistance to various attacks. In [36], an image encryption algorithm was discussed using a time-delayed nonlinear combinatorial hyper-chaotic map. The method aims to enhance image encryption by incorporating complex dynamics and wider hyper-chaotic intervals, thereby improving efficiency, security, and practical value in secure communications. In [37], the authors introduced an image encryption technique combining a hyper-chaotic system with DNA computing for enhanced plaintext sensitivity. It utilizes a cost-effective tent map for key stream generation and incorporates multiple encryption layers, including decimal-level diffusion, permutation, and DNA-level operations, to significantly randomize image data. The method demonstrates robustness, outperforming contemporary schemes in computational efficiency and security, effectively resisting common cryptographic attacks and making it highly suitable for real-world image security applications. In [38], the researchers introduced an encryption method to secure high-resolution images by employing Arnold cat and Henon chaotic maps. The system leverages the Arnold cat map to perform permutations at the bit and pixel levels on both plain and encrypted images. Meanwhile, the chaotic Henon map creates encrypted images and defines the parameters for these permutations. They describe the cryptographic mechanisms and include