Stabilizing unstable periodic orbits in a fast diode resonator using continuous time-delay autosynchronization

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Abstract
Fast chaotic dynamics in a diode resonator are controlled using a continuous feedback scheme proposed by Pyragas [Phys. Lett. A 181, 203 (1993)]. The resonator is driven by a 10.3 MHz sinusoidal voltage (corresponding to a drive period under 100 nsec). Period-k orbits, with k=1, 2, and 4, have been stabilized by applying a vanishingly small feedback signal that is generated by continuously comparing the state of the resonator with its state one orbital period in the past. We observe that the control is effective even in the presence of a ∼24 nsec time lag between the sensing of the system and the application of the feedback that arises from unavoidable propagation delays through the feedback electronics.

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