Experimental identification of chaotic fibers

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)9-16
Number of pages8
JournalChaos, Solitons & Fractals
Volume39
Issue number1
Early online date11 May 2007
DOIs
Publication statusPublished - 15 Jan 2009

Fingerprint

Topological Methods
Fiber
Symbolic Analysis
Linking number
Symbolic Dynamics
Topological Entropy
Chaotic Attractor
Dynamic Analysis
Preservation
Periodic Orbits
Codimension
Parameter Space
Time series
Unstable
Distinct
Closed

Keywords

  • topological analysis
  • periodic-orbits
  • strange attractors
  • parameter space
  • time-series
  • sets

Cite this

Experimental identification of chaotic fibers. / Maranhão, D. M.; Sartorelli, J. C.; Baptista, M. S.

In: Chaos, Solitons & Fractals, Vol. 39, No. 1, 15.01.2009, p. 9-16 .

Research output: Contribution to journalArticle

Maranhão, D. M. ; Sartorelli, J. C. ; Baptista, M. S. / Experimental identification of chaotic fibers. In: Chaos, Solitons & Fractals. 2009 ; Vol. 39, No. 1. pp. 9-16 .
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