Title: A new hybrid chaotic system and its analysis

Authors: Mandeep Kaur Sandhu; Surender Singh; Manjit Kaur

Addresses: Computer Science and Engineering, Chandigarh University, Gharuan, Punjab, India ' Computer Science and Engineering, Chandigarh University, Gharuan, Punjab, India ' School of Electrical Engineering and Computer Science, Gwangju Institute of Science and Technology, South Korea

Abstract: In this paper, we introduce and examine a new hybrid hyperchaotic system named eight-dimensional (8D) hyperchaotic system. The proposed system is designed by combining the hyperchaotic systems with some modifications. 8D hyperchaotic system is sensitive to its initial parameters. Therefore, a grey wolf optimisation algorithm is used to tune its initial parameters. The proposed 8D hyperchaotic system shows hyperchaotic behaviour and a unique equilibrium with a large range of parameters and six positive Lyapunov exponents. The analyses of the proposed 8D hyperchaotic system are achieved using amplitude fluctuations, auto and cross-correlation, pseudo phase space trajectories, and equilibrium points. Besides, Lyapunov exponents, bifurcation diagrams, and butterfly effects are also evaluated by defining the initial conditions and specific parameters. Experimental analyses reveal the presence of chaotic and hyperchaotic attractors, high accuracy, and stable performance of the proposed 8D hyperchaotic system. Finally, the proposed 8D hyperchaotic system is used to design the secret key for showing the application in the field of image encryption. It provides a large keyspace and can resist various security attacks.

Keywords: hyperchaotic; chaotic; Lyapunov exponents; bifurcation.

DOI: 10.1504/IJICS.2024.138493

International Journal of Information and Computer Security, 2024 Vol.23 No.3, pp.271 - 293

Received: 22 Mar 2022
Accepted: 08 Oct 2022
Published online: 08 May 2024 *

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