Dynamical analysis of HR-FN neuron model coupled by locally active hyperbolic memristor and DNA sequence encryption application

A hyperbolic type memristor with local activity which can generate the hysteresis loops with asymmetrical hysteresis is proposed. A HR-FN neuron model coupled by locally active hyperbolic memristor is built. Complex dynamical behaviours are investigated by numerical analysis for the designed neuron model, and its circuit implementation is verified. Moreover, an image encryption algorithm based on chaotic sequences and DNA sequence operations is proposed. Chaotic sequences are generated by the HR-FN neural coupling system. The experimental results verify that the algorithm has strong resistance to interference and corruption.

Automated summary

This paper proposes a hyperbolic type memristor with local activity to generate asymmetrical hysteresis loops. A HR-FN neuron model coupled by the locally active hyperbolic memristor is constructed and its complex dynamical behaviors are investigated through numerical analysis, verifying its circuit implementation. Furthermore, an image encryption algorithm based on chaotic sequences and DNA sequence operations is introduced, with chaotic sequences generated by the HR-FN neural coupling system. Experimental results confirm the strong resistance to interference and corruption of the algorithm.