4 research outputs found
Li-Yorke chaos in hybrid systems on a time scale
By using the reduction technique to impulsive differential equations [1], we
rigorously prove the presence of chaos in dynamic equations on time scales
(DETS). The results of the present study are based on the Li-Yorke definition
of chaos. This is the first time in the literature that chaos is obtained for
DETS. An illustrative example is presented by means of a Duffing equation on a
time scale.Comment: 16 pages, 2 figure