Extracting chaos control parameters from time series analysis
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2011
Autores
Santos R.B.B.
Graves J.C.
Graves J.C.
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Periódico
Journal of Physics: Conference Series
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SANTOS, R.B.B.; GRAVES, Júlio César. Extracting Chaos Control Parameters from Time Series Analysis. Journal of Physics. Conference Series (Online), v. 285, p. 012002, 2011.
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We present a simple method to analyze time series, and estimate the parameters needed to control chaos in dynamical systems. Application of the method to a system described by the logistic map is also shown. Analyzing only two 100-point time series, we achieved results within 2% of the analytical ones. With these estimates, we show that OGY control method successfully stabilized a period-1 unstable periodic orbit embedded in the chaotic attractor. © Published under licence by IOP Publishing Ltd.