Control of Chaos by Time-Delayed Feedback: A Survey of Theoretical and Experimental Aspects

Abstract

Time-delayed feedback control has been introduced as a powerful tool for control of unstable periodic orbits in dynamical systems. From the experimental point of view its strength is based on the fact that the application of this method requires just the measurement of simple signals, and it has been applied in physics, chemistry and biology. We present an overview of the theoretical foundations of time-delayed feedback methods and explain in detail the implications for real experiments.