## 2 Literature Review  
There are various multimedia data that are used for sharing over networks. Images play an important role in various fields, such as healthcare, agriculture, science, and engineering. Healthcare images contain some sensitive information or data related to patient privacy. Hence, there is several security breaching attacks that can affect the secrecy of images [11; 12]. Therefore, to prevent these attacks, there are various security algorithms that can be applied. In [13], [PERSON] et al. implemented deep learning-based biomedical image encryption techniques along with a cycle generative adversarial network (CGAN) were used to encrypt the images. In [14], [PERSON] and [PERSON] designed a GPU-accelerated homomorphism encryption technique for obtaining faster results with encryption techniques. In [15], [PERSON] et al. discussed a verifiable multi-keyword search (VMKS) encryption technique. For biomedical images, it generated an anonymous key. To scramble electronic health records, a convergence key was also utilized. In [16], [PERSON] et al. used joint watermarking-encryption-JPEG-LS (JJL) for healthcare data. For encryption, bit substitution watermarking modulation with JPEG-LS was also used. In [17] [PERSON] et al. utilized a secure communication model by using a selective encryption technique (SET) combined with fragmentation and dispersion. In [18], [PERSON] et al. outlined homomorphic encryption (SHE) for single instruction multiple data, which encrypts data with fewer overheads. In [19], [PERSON] et al. invented a revocable, privacy-preserving, fine-grained data sharing technique with keyword search to encrypt the healthcare data. For data authenticity, a pseudo-identity-based signature approach was also used. In [20], [PERSON] depicted a blind batch encryption technique to encrypt the healthcare data. It has been found that this technique can resist six typical attacks. In [21; 22; 23; 24; 25; 26; 27], the authors found that attribute-based encryption can ensure data confidentiality and user privacy in the healthcare environment. Partially policy-hidden and large universe-based encryption techniques were also used. In [28; 29; 30; 31; 32; 33; 34; 35], the authors designed an efficient access policy expression approach by considering 0-1 coding in CNN. In [36; 37; 38; 39], [PERSON] et al. designed an efficient access control technique and a fine-grained data sharing model. This approach is suitable for resource-constrained mobile devices. A couple of exploration systems were designed for image watermarking. The authors of [40; 41; 42; 43; 44; 45] proposed a multi-reason image-watermarking framework for ownership checking. DWT was used to decompose the image into the wavelet domain. The authors of [46; 47; 48; 49] presented a square-based outwardly disabled watermarking technique using DWT and DCT. Quantization index modulation was also implemented to reduce the bit error rate (BER) of expelled watermarks. Artificial bee colony-based LSB [50; 51] was used to embed the watermark. [PERSON] et al. presented a novel image encryption scheme based on the pseudo-orbits of a 1D chaotic map by using the difference of two pseudo-orbits to generate a random sequence. The generated sequence has been successful in all NIST tests, which implies that it has adequate randomness to be employed in encryption processes [52; 53; 54; 55].The fractional order Lorenz chaotic system is used to generate the chaotic sequence. The article outlines the characteristic of the chaotic sequence. Two examples with plain texts and plain images were shown for using the approach that we introduced [56; 57; 58; 59]. According to the results of the analyses, an interesting image encryption algorithm was proposed. Multiple grayscale images were fused into a color image using different channels. Then, the color image was scrambled and diffused in order to obtain a more secure cipher image [60].The authors compared symmetric and asymmetric discretization approaches, applying them to several examples of Hamiltonian systems.