STABILIZING UNSTABLE PERIODIC-ORBITS IN A FAST DIODE RESONATOR USING CONTINUOUS TIME-DELAY AUTOSYNCHRONIZATION

Fast chaotic dynamics in a diode resonator are controlled using a cont inuous feedback scheme proposed by Pyragas [Phys. Lett. A 181, 203 (19 93)]. The resonator is driven by a 10.3 MHz sinusoidal voltage (corres ponding to a drive period under 100 nsec). Period-k orbits, with k=1, 2, and 4, have been stabilized by applying a vanishingly small feedbac k signal that is generated by continuously comparing the state of the resonator with its state one orbital period in the past. We observe th at the control is effective even in the presence of a similar to 24 ns ec time lag between the sensing of the system and the application of t he feedback that arises from unavoidable propagation delays through th e feedback electronics.