Abstract
We cannot foresee the future of chaotic evolutions, since a small deviation of the initial condition in a nonlinear system results in a completely different solution of the system output. However, chaos can be controllable. Of course, a nonlinear system does not always show unstable oscillations. Or the system can be controlled and stabilized to a steady state by appropriately shifting the parameters even when the system originally outputs irregular chaotic oscillations. In such control, the perturbations for the system may be large and the system is switched to another state from the original oscillation by the parameter shifts. However, the idea of chaos control is completely different from ordinary control methods. The perturbation for a nonlinear system is very small and affects the state of the system very less. In chaos control, the system is controlled to a nearby unstable periodic or fixed orbit (saddle node point of the system). In this chapter, we discuss the method of chaos control and give some applications in semiconductor laser systems. We also demonstrate suppression of unstable oscillations in semiconductor lasers.
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Ohtsubo, J. (2017). Chaos Control and Applications. In: Semiconductor Lasers. Springer Series in Optical Sciences, vol 111. Springer, Cham. https://doi.org/10.1007/978-3-319-56138-7_9
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