Chaotic synchronization between coupled pancreatic β-Cells

Abstract

The paper first describes the main bifurcation structure for a typical model of an insulin producing pancreatic β-cell. Considering a system of two coupled identical and chaotically spiking β-cells, the paper continues to examine the bifurcations through which low periodic orbits embedded in the synchronized chaotic state lose their transverse stability and produce the characteristic picture of locally and globally riddled basins of attraction. We discuss the different types of riddled basins with the associated phenomena of attractor bubbling and on-off intermittency.