Improved method for distinguishing determinism from randomness in the presence of noise
| dc.contributor.author | Roberts, Sean, author | |
| dc.contributor.author | Eykholt, Richard E., advisor | |
| dc.date.accessioned | 2026-01-29T19:31:15Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | This work presents an improved method for detecting determinism in time series. The method requires several input parameters, and a procedure for determining optimal values for these parameters is given. The method is applied to several types of noise and it is shown to be able to detect determinism for noise levels up to 70% - 80% of the magnitude of the signal of the dynamical system to which the noise is being added. The method is reliable for data sets as small as 256 data points. The method is also applied to data sets for which the source of noise is a chaotic system. In these cases, determinism is detected in the noise source itself. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier.uri | https://hdl.handle.net/10217/242973 | |
| dc.identifier.uri | https://doi.org/10.25675/3.025829 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.rights.license | Per the terms of a contractual agreement, all use of this item is limited to the non-commercial use of Colorado State University and its authorized users. | |
| dc.subject | physics | |
| dc.title | Improved method for distinguishing determinism from randomness in the presence of noise | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Physics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- ETDF_PQ_2003_3092691.pdf
- Size:
- 6.24 MB
- Format:
- Adobe Portable Document Format