Phys. Rev. Lett. 73, 1364–1367 (1994)Combining Topological Analysis and Symbolic Dynamics to Describe a Strange Attractor and Its CrisesReceived 27 July 1993; published in the issue dated 5 September 1994 We show how to use topological analysis to construct from experimental data a symbolic coding of a chaotic attractor. Time series data from a chaotic CO2 laser with modulated losses operating within parameter regions corresponding to attractor crises have been analyzed. A procedure for determining a generating partition from the data is presented, and the connection between crises and a symbolic description of the dynamics is determined. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.1364
DOI:
10.1103/PhysRevLett.73.1364
PACS:
05.45.+b, 42.50.Lc, 42.55.Lt
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