Controlling Fast Chaos in Delay Dynamical Systems

Details Controlling Fast Chaos in Delay Dynamical Systems Controlling Fast Chaos in Delay Dynamical Systems

2004-04-27

arxiv.org/abs/nlin/0404048v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures, to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.92.193901

We introduce a novel approach for controlling fast chaos in time-delay dynamical systems and use it to control a chaotic photonic device with a characteristic time scale of ~12 ns. Our approach is a prescription for how to implement existing chaos control algorithms in a way that exploits the system's inherent time-delay and allows control even in the presence of substantial control-loop latency (the finite time it takes signals to propagate through the components in the controller). This research paves the way for applications exploiting fast control of chaos, such as chaos-based communication schemes and stabilizing the behavior of ultrafast lasers.

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