Bifurcation and chaos in a discrete physiological control system

摘要

In this paper, we introduce a new method to discrete a physiological control system with delay and investigate the dynamical behavior of the discrete model. Basic properties of the discrete system are analyzed by means of Lyapunov exponent spectrum and bifurcation diagrams. Analysis results show that this system has complex dynamics with some interesting characteristics which may provide some new knowledge for us in fields of physiology.