Simulation and implementation of memristive chaotic system and its application for communication systems

The memristor based chaotic circuits which consist of three basic elements, have been used to obtain chaotic secure communication scheme in this paper. Using numerical simulation methods, including phase portraits, the largest Lyapunov exponents and bifurcation diagrams, the nonlinear dynamics are examined. In this respect, the advantage of chaotic feature of memristor and a memristor-based system was benefited for masking chaotic signals which are complicated to be analysed in communication systems. Therefore, the system was modelled with the help of LabVIEW and circuit with chaotic specialty was implemented in a secure communication. The transmitted signal called as information signal is a random binary number. Generated signals which are along with the form of added the transmitted signal and then modulated signals which are obtained by combining the information signal and the chaotic signals are are named modulated signals (S(t)). If the drive and response signals are equal, transmitted signal iterates oneself mathematically. The receiver signals which is zC(t) and xC(t) chaotic signals. The information binary signals retrieved at receiver outputs of plot in consequence of synchronization. Its mathematical expression can be written as [zD(t)+i (t)]-zC (t)= i(t)]. [Display omitted] •The memristor based chaotic circuits have been used to obtain chaotic secure communication scheme in this paper.•Using numerical simulation methods, including phase portraits, the largest Lyapunov exponents and bifurcation diagrams, the nonlinear dynamics are examined for the memristor based chaotic circuits.•The advantage of chaotic feature of memristor and a memristor-based system was benefited for masking chaotic signals which are complicated to be analysed in communication systems.•The system was modelled with the help of LabVIEW and circuit with chaotic specialty was implemented in a secure communication. One of the most popular applications for chaotic systems is secure communication. The main purpose is to hide the information signal to be transmitted in a secure way, into a chaotic signal which is difficult to detect, and then to recover the information signal again. In response to this, memristor discovered by Leon O. Chua, known as the fourth basic element or the missing relationship can be implemented in chaotic circuit for a secure communication. The memristor based chaotic circuits which consist of three basic elements, have been used to obtain chaotic secure co