Phys. Rev. Lett. 73, 1364 - 1367 (1994)Combining Topological Analysis and Symbolic Dynamics to Describe a Strange Attractor and Its Crises |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1984: |
M. Lefranc1, P. Glorieux1, F. Papoff2, F. Molesti3, and E. Arimondo3
1Laboratoire de Spectroscopie Hertzienne, URA CNRS 249, Université de Lille I, F-59655 Villeneuve d'Ascq, France
2Physics Department, University of Strathclyde, 107 Rottenrow, Glasgow, G4 ONG, United Kingdom
3Dipartimento di Fisica, Piazza Torricelli 2, 56126 Pisa, Italy
Received 27 July 1993
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/abstract/PRL/v73/p1364
DOI: 10.1103/PhysRevLett.73.1364
PACS: 05.45.+b, 42.50.Lc, 42.55.Lt
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