A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network

An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. The hyperjerk system has a line of equilibria and also shows extreme multistability indicated by the initial value-associated bifurcation diagram. FPGA-based circuit realization is also given for physical verification. Finally, the proposed memristive hyperjerk system is successfully predicted with artificial neural networks for AI based engineering applications.

Automated summary

A controllable hyperjerk system was constructed using a memristor's nonlinear factor to induce chaos, with amplitude control achieved through a single coefficient. The system exhibited equilibria and extreme multistability, as shown in the initial value-associated bifurcation diagram. The physical verification was conducted with a FPGA-based circuit realization, and the system's performance was successfully predicted using artificial neural networks for AI-based engineering applications.