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In the recent decades, applications of chaotic systems have flourished in various fields. Hence, there is an increasing demand on generalized, modified and novel chaotic systems. In this paper, we combine the general equation of jerk-based chaotic systems with simple scaled discrete chaotic maps. Numerical simulations of the properties of two systems, each with four control parameters, are presented...
This paper presents a simple encryption technique that uses different generalized discrete maps to achieve better performance. A summary of the generalized logistic, tent and sine maps is presented where one of the main advantages of the generalized maps is the extra parameters. Those extra parameters increase the system degrees of freedom, enrich the performance and expand the chaotic range. The...
This paper introduces two generalized tent maps where the conventional map is a special case. Although the output of the conventional tent map shows different responses, it has only one control parameter that limits its behavior and applications. The proposed generalized tent maps increase the degrees of freedom and produce a versatile response that can fit many applications. The characteristics of...
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