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Review of Chaos Detection Techniques Performed on Chaotic Maps and Systems in Image Encryption

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Abstract

The security concern in recent times has been rising exponentially, this has lead for highly secured image transmission. Chaos-based image encryption is increasingly used to protect images with high degree of security than other encryption techniques. Hence, novel chaotic dynamical systems are developed for this purpose with more advanced features and models. Various chaos detection techniques are performed on them to examine and measure their complexity. This paper analyzes the frequency of the chaos tests performed on 25 discrete chaotic maps and 18 continuous chaotic systems and reviewed for their effectiveness. It is observed that the bifurcation diagram and Lyapunov exponent are the most highly used tests for chaotic maps. Whereas, phase portrait and bifurcation diagram are commonly used for chaotic systems. Tests such as 0–1 test, three-state test and some entropy tests are seldom used. Further, the dynamics of the chaotic systems are better studied than the chaotic maps. But in most cases of chaotic maps, the test is performed only for certain random control parameter range, and its dynamics beyond that range is unknown. Hence, it is crucial to realize three important facts. First, a complete examination of the novel system must be performed with the appropriate chaos detection technique. Second, the complete range of the chaotic and non-chaotic region of a system must be presented. Third, the strength of chaos must be examined. These results are essential for generating a highly secured nonlinear key for an encryption algorithm, which makes it resistant to various attacks.

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  1. Department of Computer Science and Engineering, SRM Institute of Science and Technology, Chengalpattu District, Kattankulathur, Tamil Nadu, 603203, India

    Joan S. Muthu & P. Murali

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Muthu, J.S., Murali, P. Review of Chaos Detection Techniques Performed on Chaotic Maps and Systems in Image Encryption. SN COMPUT. SCI. 2, 392 (2021). https://doi.org/10.1007/s42979-021-00778-3

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