Design of two dimensional hyperchaotic system through optimization benchmark function

• Published in: Chaos, solitons and fractals Vol. 167; p. 113032
• Main Authors: Erkan, Uğur, Toktas, Abdurrahim, Lai, Qiang
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.02.2023
• Subjects: Chaotic system; Image encryption; Nonlinear system; Rosenbrock function; Image encryption; Chaotic system; Nonlinear system; Rosenbrock function
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2022.113032

The hyperchaotic systems are essentially needed for various applications, especially multimedia encryption, watermarking and communications. However, existing chaotic systems have limited chaotic performance in terms of precise chaos measuring tools like bifurcation and attractor diagrams, Lyapunov exponent (LE), 0-1 test, correlation dimension (CD) and Kolmogorov entropy (KE). In this paper, a new hyperchaotic system so-called 2D Rosenbrock map is designed by exploiting the Rosenbrock function, which has perfect swinging characteristics in modular form. In order to manage the map, two control parameters are inserted to the Rosenbrock function. The proposed 2D Rosenbrock map is self-verified and also validated over a comparison with the recently reported results. The 2D Rosenbrock map has excellent ergodicity and diversity properties. Moreover, the 2D Rosenbrock map is implemented to multimedia encryption. The findings manifest that the designed 2D Rosenbrock map owns superior chaotic capability due to its reproduction and oscillation features. •A 2D hyperchaotic system using the Rosenbrock function is designed.•The Rosenbrock function is widely used for testing optimization algorithms.•Effectiveness of the 2D Rosenbrock map is verified via chaos measuring tools.•The 2D Rosenbrock map is also validated through a comprehensive comparison.•Practical capability the 2D Rosenbrock map is examined on image encryption.