COMBINING TOPOLOGICAL ANALYSIS AND SYMBOLIC DYNAMICS TO DESCRIBE A STRANGE ATTRACTOR AND ITS CRISES

Authors
LEFRANC M GLORIEUX P PAPOFF F MOLESTI F ARIMONDO E
Citation
M. Lefranc et al., COMBINING TOPOLOGICAL ANALYSIS AND SYMBOLIC DYNAMICS TO DESCRIBE A STRANGE ATTRACTOR AND ITS CRISES, Physical review letters, 73(10), 1994, pp. 1364-1367
Citations number
24
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
73
Issue
10
Year of publication
1994
Pages
1364 - 1367
Database
ISI
SICI code
0031-9007(1994)73:10<1364:CTAASD>2.0.ZU;2-B
Abstract
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 r egions corresponding to attractor crises have been analyzed. A procedu re for determining a generating partition from the data is presented, and the connection between crises and a symbolic description of the dy namics is determined.