T. Stojanovski et al., SPORADIC DRIVING OF DYNAMICAL-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 4035-4048
In this paper the sporadic driving of time continuous systems and acco
mpanying phenomena are examined. Mathematical analysis of sporadically
driven linear systems gives an explanation for the observed dependenc
e of the asymptotic stability of the sporadically driven system on the
driving period. Several generalizations of sporadic driving are propo
sed and their practical implications are considered. The sensitivity o
f the synchronized motion between sporadically coupled chaotic systems
to the influence of noise is explored. The synchronization test of no
nlinear models for time series is enhanced through the usage of sporad
ic driving.