Experimental identification of chaotic fibers

D.M. Maranhão, J.C. Sartorelli and M.S. Baptista

Chaos, Solitons & Fractals, 2009, vol. 39, issue 1, 9-16

Abstract: In a 2D parameter space, by using nine experimental time series of a Chua’s circuit, we characterized three codimension-1 chaotic fibers parallel to a period-3 window. To show the local preservation of the properties of the chaotic attractors in each fiber, we applied the closed return technique and two distinct topological methods. With the first topological method we calculated the linking numbers in the sets of unstable periodic orbits, and with the second one we obtained the symbolic planes and the topological entropies by applying symbolic dynamic analysis.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:1:p:9-16

DOI: 10.1016/j.chaos.2007.01.131

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