Sporadic driving of dynamical systems

Abstract

In this paper the sporadic driving of time continuous systems and accompanying phenomena are examined. Mathematical analysis of sporadically driven linear systems gives an explanation for the observed dependence of the asymptotic stability of the sporadically driven system on the driving period. Several generalizations of sporadic driving are proposed and their practical implications are considered. The sensitivity of the synchronized motion between sporadically coupled chaotic systems to the influence of noise is explored. The synchronization test of nonlinear models for time series is enhanced through the usage of sporadic driving.