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Öğe 2D hyperchaotic Styblinski-Tang map for image encryption and its hardware implementation(Springer Link, 2024) Üstün, Deniz; Erkan, Uğur; Toktaş, Abdurrahim; Lai, Qiang; Yang, LiangA novel 2D chaotic system is presented, which is inspired by Styblinski Tang (ST) function employed as optimization test function. It is a challenge function because of having many local optima. The performance of the chaotic system namely 2D Styblinski Tang (2D-ST) map is corroborated through an extensive comparison with the literature in terms of the sensitive chaos metrics as well as its randomness is verified over TestU0. The 2D-ST map manifests the best hyperchaotic behavior due to higher ergodicity and complexity characteristics. Moreover, the 2D-ST map is implemented to a microcontroller hardware, and it is seen that the results manifests that the proposed 2D-ST can be a potential practical candidate thanks to excellent hyperchaotic performance.Öğe Index-based simultaneous permutation-diffusion in image encryption using two-dimensional price map(Springer Link, 2024) Lai, Qiang; Zhang, Hui; Üstün, Deniz; Erkan, Uğur; Toktaş, AbdurrahimThis paper proposes an index-based simultaneous permutation-diffusion image encryption algorithm (ISPD-IEA) based on chaos theory and a permutation-diffusion coupled encryption mechanism. The proposed method introduces a novel two-dimensional (2D) Price map derived from the Price function and classical maps, exhibiting superior chaotic dynamical properties compared to existing alternatives. By integrating the permutation-diffusion process, ISPD-IEA effectively diffuses minor changes in pixel values while altering their positions, enhancing both encryption efficiency and resistance against differential analysis attacks. Experimental results and thorough security analysis confirm the outstanding security and high encryption efficiency of ISPD-IEA. The algorithm not only achieves excellent encryption performance but also demonstrates its ability to resist various attacks commonly encountered in image encryption scenarios.Öğe Multiobjective Design of 2D Hyperchaotic System Using Leader Pareto Grey Wolf Optimizer(Institute of Electrical and Electronics Engineers Inc., 2024) Toktaş, Abdurrahim; Erkan, Uğur; Üstün, Deniz; Lai, QiangA chaotic system is a mathematical model exhibiting random and unpredictable behavior. However, existing chaotic systems suffer from suboptimal parameters regarding chaotic indicators. In this study, a novel leader Pareto grey wolf optimizer (LP-GWO) is proposed for multiobjective (MO) design of 2D parametric hyperchaotic system (2D-PHS). The MO capability of LP-GWO is improved by integrating a LP solution within the Pareto optimal set. The effectiveness of LP-GWO is corroborated through a comparison with regular MO versions of grey wolf optimizer (GWO), artificial bee colony, particle swarm optimization, and differential evolution. Additionally, the validation extends to the exploration of LP-GWO's performance across four variants of the 2D-PHS optimized by the compared algorithms. A 2D-PHS model with eight parameters is conceived and then optimized using LP-GWO by ensuring tradeoff between two objectives: Lyapunov exponent (LE) and Kolmogorov entropy (KE). A globally optimal design is chosen for freely improving the two objectives. The chaotic performance of 2D-PHS significantly outperforms existing systems in terms of precise chaos indicators. Therefore, the 2D-PHS has the best ergodicity and erraticity due to optimal parameters provided by LP-GWO.