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Alternative approaches of evaluating the 0–1 test for chaos.
- Source :
-
International Journal of Computer Mathematics . Jan-Feb2020, Vol. 97 Issue 1/2, p508-521. 14p. - Publication Year :
- 2020
-
Abstract
- The 0–1 test for chaos is increasingly used in applications where it is important to distinguish between chaotic and regular dynamics of the deterministic dynamical system. This test consists of translating the time series into (p , q) plane. Then the boundedness of the object created in the (p , q) plane is inspected by computing mean square displacement and its growth rate. The computation of the mean square displacement for various lag has high computational complexity. In this paper, the inspection of the boundedness using bounding box and centre of gravity is proposed. This method has linear computational complexity and provides more control over the precision of the test through multiple input parameters. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DYNAMICAL systems
*COMPUTATIONAL complexity
*TIME series analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 97
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 141083268
- Full Text :
- https://doi.org/10.1080/00207160.2019.1701662