Bifurcation and windows in a simple piecewise linear chaotic spiking neuron

Abstract

This paper studies a piecewise linear chaotic spiking oscillator relating to neuron models. Repeating vibrate-and-fire dynamics, the system can exhibit chaotic/periodic spike-trains and related bifurcation phenomena. Deriving the return map of a state variable, we can analyze typical phenomena precisely and have confirmd an interesting bifurcation phenomena of chaotic spike-trains and window structure of period-doubling route. © 2009 Springer Berlin Heidelberg.