A Chaotic System With Infinite Attractors Based on Memristor

In this article, a memristor chaotic system is constructed by introducing a cosine function flux control memristor. By analyzing the balance of the system, it is found that there are coexisting attractors, and because of the periodicity of cosine function, the chaotic system has infinite coexisting attractors. The complexity analysis of Spectral Entropy (SE) and C0 is used in this paper to intuitively show the complex dynamic characteristics of the system. In addition, the introduction of paranoid propulsion also provides more possibilities for the system in engineering applications. Finally, the digital signal processing (DSP) experiment verifies the correctness of theoretical analysis and numerical analysis.

Automated summary

In this article, a memristor chaotic system is constructed by introducing a cosine function flux control memristor. It is found that the system has infinite coexisting attractors due to the periodicity of cosine function. The complexity of the system's dynamic characteristics is intuitively shown using Spectral Entropy (SE) and C0 analysis. Additionally, the introduction of paranoid propulsion provides more possibilities for engineering applications of the system.