Circuit Implementation and PRNG Applications of Time Delayed Lorenz System

Abstract

In this study, time delayed form of Lorenz system is introduced, and exemplary applications of the time delayed Lorenz system are performed. Firstly, the time delayed Lorenz system is numerically solved by considering the Lorenz system as a system of time delayed differential equations. Then, time series and phase portraits of the state variables of the time delayed system are obtained. After then, circuit implementation of the time delayed system is carried out with discrete analog components. Finally, a random number generator application is carried out by selectin different number of bits obtained from the state variables of the time delayed system. The results of all the applications are sufficiently good that the time delayed system can be used in engineering applications.

Keywords

• Time delayed chaotic systems
• Lorenz System
• Time delayed differential equations
• Circuit implementation
• random number generator

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