Time-delay-induced stabilization of coupled discrete-time systems.
This paper shows that the time-delay-induced stabilization occurs in discrete-time systems on numerical simulations. The stability analysis proves that this phenomenon never occurs in the discrete-time systems that have an odd-number property. This property is well known as the weak point of the delayed feedback control of chaos. Furthermore, we show that the phenomenon never occurs in any one-dimensional discrete-time system.
Konishi
Keiji
K
Department of Complex Systems, Future University-Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido 041-8655 Japan. kkonishi@fun.ac.jp