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A modified pulse-coupled spiking neuron circuit (MPSNC) with memory threshold is presented. It is constructed with two single modified spiking neuron circuits (MSNCs). In MPSNC, one MSNC stores the potential of its threshold signal at the latest firing time of another MSNC as threshold, implying a short-term cross memory. We extend the definition of least common multiple to obtain the firing phase of MPSNC. By studying the iterative map of firing time and firing phase, the dynamics and statistics are revealed. The chaotic map of firing phase is applied to image encryption. Besides, the hardware circuit and simulation are built.

A modified pulse-coupled spiking neuron circuit with memory threshold and its application