Flexible cascade and parallel operations of discrete memristor

As a special nonlinear component, discrete memristor (DM) can lead to excellent chaos performance in its constructed discrete systems. To enhance the diversity and performance of DM-based systems, cascade, parallel and composite operations for DMs are proposed in this paper. Examples are given to demonstrate the operation process, through which new discrete memristive systems can be constructed with larger parameter space and chaotic region. Complex dynamical behaviors are investigated, and these designed maps are realized on a digital signal processor (DSP) development board. The generated chaotic sequences are further tested by NIST software to show random performance.

Automated summary

This paper introduces the excellent chaos performance of discrete memristors in constructing discrete systems, and proposes cascade, parallel, and composite operations to enhance the diversity and performance of the systems. The operation process is demonstrated through examples, showing the ability to construct new discrete memristive systems with larger parameter space and chaotic region.