Stability of periodic orbits controlled by time-delay feedback

Journal Article (Journal Article)

Extended time-delay auto-synchronization (ETDAS) is a promising technique for stabilizing unstable periodic orbits in low-dimensional dynamical systems. The technique involves continuous feedback of signals delayed by multiples of the orbit's period in a manner that is especially well-suited for fast systems and optical implementation. We show how to analyze the stability of a given implementation of ETDAS without explicit integration of time-delay equations. To illustrate the method and point out some nontrivial features of ETDAS, we obtain the domain of control for a period-one orbit of the driven, damped pendulum.

Full Text

Duke Authors

Cited Authors

  • Bleich, ME; Socolar, JES

Published Date

  • January 1, 1996

Published In

Volume / Issue

  • 210 / 1-2

Start / End Page

  • 87 - 94

International Standard Serial Number (ISSN)

  • 0375-9601

Digital Object Identifier (DOI)

  • 10.1016/0375-9601(95)00827-6

Citation Source

  • Scopus