Smoothness implies determinism: A method to detect it in time series
Publication
, Journal Article
Salvino, LW; Cawley, R
Published in: Physical Review Letters
January 1, 1994
Continuity on an embedded phase space is enough to imply determinism in time series. Also, it is possible to define infinitely many arbitrary vector fields over an attractor. We exploit this arbitrariness to generate a detector of smoothness and therefore of determinism in time series. We report results of numerical studies of both flow and map examples and of a chaotic experimental system. © 1994 The American Physical Society.
Duke Scholars
Published In
Physical Review Letters
DOI
ISSN
0031-9007
Publication Date
January 1, 1994
Volume
73
Issue
8
Start / End Page
1091 / 1094
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
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Salvino, L. W., & Cawley, R. (1994). Smoothness implies determinism: A method to detect it in time series. Physical Review Letters, 73(8), 1091–1094. https://doi.org/10.1103/PhysRevLett.73.1091
Salvino, L. W., and R. Cawley. “Smoothness implies determinism: A method to detect it in time series.” Physical Review Letters 73, no. 8 (January 1, 1994): 1091–94. https://doi.org/10.1103/PhysRevLett.73.1091.
Salvino LW, Cawley R. Smoothness implies determinism: A method to detect it in time series. Physical Review Letters. 1994 Jan 1;73(8):1091–4.
Salvino, L. W., and R. Cawley. “Smoothness implies determinism: A method to detect it in time series.” Physical Review Letters, vol. 73, no. 8, Jan. 1994, pp. 1091–94. Scopus, doi:10.1103/PhysRevLett.73.1091.
Salvino LW, Cawley R. Smoothness implies determinism: A method to detect it in time series. Physical Review Letters. 1994 Jan 1;73(8):1091–1094.
Published In
Physical Review Letters
DOI
ISSN
0031-9007
Publication Date
January 1, 1994
Volume
73
Issue
8
Start / End Page
1091 / 1094
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences