Abstract
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.
- Received 29 July 2002
DOI:https://doi.org/10.1103/PhysRevE.67.017201
©2003 American Physical Society