Abstract:
Chaotic systems can be stabilized by applying only small perturbations to some accessible system parameter. The OGY scheme and its variations have been used successfully to control the dynamics of lasers. This paper describes alternative implementations of the OGY scheme that efficiently stabilize the unstable periodic orbits (UPO's) and unstable steady-states (USS's) of fast dynamical systems using small perturbations. The schemes are well suited for controlling instabilities in high-speed optical systems such as diode lasers.
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