Abstract
One of the practical applications of chaotic systems is the design of a random number generator. In the literature, generally random number generators are designed using discrete time chaotic systems. The reason for the use of the discrete time chaotic systems in the design architecture is that the latter have a simpler structure than the continuous time chaotic systems. In order to observe chaos in continuous time systems, the system must have at least three degrees. It is shown that for fractional order chaotic systems chaos can be observed even in a lower system degree. The aim of this study is to develop a random number generator using a fractional order chaotic Chua system. The proposed generator is analysed using various randomness tests. The analysis results show that the proposed generator passes the random requirements successfully. On the one hand, this study is important because it demonstrates the practical application of fractional order chaotic systems. On the other hand, it provides an alternative to designs based on discrete time chaotic systems.
Highlights
Chaotic behaviors are the dynamics observed in nonlinear systems
A random number generator based on fractional order chaotic systems is proposed
One of the most important results of the study is that fractional order chaotic systems may be an alternative to discrete time chaotic systems in the literature
Summary
Chaotic behaviors are the dynamics observed in nonlinear systems. Chaos theory and Chaotic dynamics, which are observed in nonlinear systems and called as strange attractors, have been intensively studied by researchers. Deterministic systems are systems, in which system behavior is determined by its parameters and initial conditions. The requirements for observing the complex dynamics, defined as strange attractors, are listed below: The system must have nonlinear elements; The system must be sensitive to the initial condition. These conditions are necessary for the chaos in a system to exist, but it is not enough. This paper is supported by the Firat University Scientific Research Project (TEKF.18.02)
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