Bifurcation control of two nonlinear models of cardiac activity

Abstract

This brief describes methods based on time-delay feedback (TDF) for bifurcation control of nonlinear models of chaotic cardiac activity. We describe a nonlinear bifurcation controller that makes use of a feedback reference signal and a linear autoregressive formulation for the gain. This controller is effective at stabilizing two diverse cardiac maps to a variety of periodic orbits. We contrast our approach with the OGY method which has been used to control some chaotic biological processes and recently, some nonchaotic, stochastic ones.