Basic Analysis Tools of Spike-Trains in Chaotic Spiking Oscillators

This paper studies three analysis tools of the spike-trains in chaotic spiking oscillators. The first one is the histogram of inter-spike intervals. It is convenient to extract basic information from spike-trains. The second one is the recurrence plot that has potential to extract information hidden in the spike-trains. The third one is the return map of the state variable. It is useful to analyze stability and bifurcation of spike-train generators. We apply these tools to a class of chaotic spiking oscillators and some typical phenomena are demonstrated.