Transition Mechanisms Between Periodic and Chaotic Bursting Neurons

Abstract

In this chapter, we analyze the transition mechanisms between periodic and chaotic behavior in a synaptically coupled system, which consists of bursting neurons (Hindmarsh-Rose model). We observe that chaotic bursting neurons can turn to periodic neurons or vice versa, by changes in coupling strength. The Lyaponov exponent calculations show the fine structure of a pathway to chaotic behavior when the synaptic coupling of neurons gets weaken in strength. Further we use Poincaré maps to gain more insights of the transitions.