Construction of symbolic dynamics from experimental time series

Physical Review Letters

Volumn 82, Issue 6, 1999, Pages 1144-1147

  Mischaikow, K ^a   Mrozek, M ^b   Reiss, J ^a   Szymczak, A ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000383657     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.82.1144     Document Type: Article

References (9)

1. H. Abarbanel, Analysis of Observed Chaotic Data, (Springer, New York,1996).
2. K. Mischaikow, M. Mrozek, A. Szymczak, and J. Reiss, preprint, see http://www.math.gatech.edu/˜mischaik/papers/paperlist.html
3. K. Mischaikow and M. Mrozek, Bull. AMS, 33, 66-72, (1995).
4. K. Mischaikow and M. Mrozek, Math. Comput., 67, 1023-1046, (1998).
5. M. Casdagli, T. Sauer, and J. A. Yorke, J. Stat. Phys., 65, 579-616, (1991).
6. J.-P. Eckmann and D. Ruell, Rev. Mod. Phys., 57, 617, (1985).
7. F. Takens, in Dynamical Systems and Turbulence, Warwick 1980, D. Rand and L. S. Young, (Springer, Berlin,1981), p. 366.
8. L. Arnold, C. Jones, K. Mischaikow, and G. Raugel, in Dynamical Systems Montecatini Terme 1994
9. R. Johnson, Lecture Notes in Mathematics, (Springer, New York,1995), p. 1609.