CHAOTIC SYSTEM (Stabilization of a) 2)
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According to Ed. OTT et al. (1990, p.1196). as quoted by D. BROOMHEAD, a chaotic system can be stabilized, at least in the absence of other uncontrolled effects as for example genuine noise "& by repeated application of small perturbations, in a state which approximates the chosen state to within a preset error. By keeping the error small, the magnitude of the perturbation is correspondingly kept below a threshold p*" (1990, p.23).
However, this is possible only "& when the chaotic wandering has brought the system sufficiently close to the center C (of the saddle of the attractor). It is property of the chaotic attractor that this will happen after an unknown but finite time t" (Ibid.).
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Bertalanffy Center for the Study of Systems Science(2020).
To cite this page, please use the following information:
Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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