THE GLOBAL BIFURCATION STRUCTURE OF THE BVP NEURONAL MODEL-DRIVEN BY PERIODIC PULSE TRAINS

The response characteristics of the BVP (Bonhoeffer-van der Pol or Fit zHugh-Nagumo) neuronal model to periodic pulse trains were investigate d. The global bifurcation structure of model relative to stimulus inte nsity and period were analyzed using a one-dimensional mapping called the phase transition curve (PTC) extended by Maginu. The PTC clarified how periodic and chaotic responses bifurcate and revealed in particul ar several examples of chaotic responses bifurcating through period-do ubling bifurcations, as well as the coexistences at the same parameter values, of two different periodic orbits, or of a chaotic and a perio dic responses.