5 November 1993 Application of laser chaos control methods to controlling thyroid-catatonic oscillations and burst firing of dopamine neurons
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Abstract
A method of controlling chaotic to laminar flows in the Lorenz equations using fixed points dictated by minimizing the Lyapunov functional was proposed by Singer, Wang and Bau. Using different fixed points, we find that the solutions in a chaotic regime can also be periodic. Since the lasers equations are isomorphic to the Lorenz equations, we use this new method to control chaos when the laser is operated over the pump threshold. Furthermore, by solving the laser equations with an occasional proportional feedback mechanism, we recover the essential lasers controlling features experimentally discovered by Roy, Murphy, Jr., Maier, Gills and Hunt. This method of control chaos is now extended to various medical and biological systems.
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Minh Duong-van, Minh Duong-van, } "Application of laser chaos control methods to controlling thyroid-catatonic oscillations and burst firing of dopamine neurons", Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); doi: 10.1117/12.162727; https://doi.org/10.1117/12.162727
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