Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators"

Baier G, Hermann T, Müller M (2005)
Bielefeld University.

Download
OA
OA S2b.mp3
OA S3.mp3
All
Research Data
Creator
; ;
Abstract
We study the rhythmic organization of coupled nonlinear oscillators. If oscillators with non-identical internal frequency are coupled, they generate a great variety of periodic and chaotic rhythmic patterns. Sonification of these patterns suggests their characterization in terms of polyrhythms: each oscillatory unit subdivides "measures" of equal or varying length differently. For the case of two coupled oscillators, the organization of these polyrhythms is exemplified as a function of the internal frequency ratio and the coupling strength. Some sonification strategies are presented which aid to detect complex rhythmic relationships between oscillators. The results may be of importance for the analysis of complex multivariate time series like human EEG.
Publishing Year
Data Re-Use License
This Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators" is made available under the Open Database License: http://opendatacommons.org/licenses/odbl/1.0. Any rights in individual contents of the database are licensed under the Database Contents License: http://opendatacommons.org/licenses/dbcl/1.0/
PUB-ID

Cite this

Baier G, Hermann T, Müller M. Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators". Bielefeld University; 2005.
Baier, G., Hermann, T., & Müller, M. (2005). Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators". Bielefeld University.
Baier, G., Hermann, T., and Müller, M. (2005). Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators". Bielefeld University.
Baier, G., Hermann, T., & Müller, M., 2005. Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators", Bielefeld University.
G. Baier, T. Hermann, and M. Müller, Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators", Bielefeld University, 2005.
Baier, G., Hermann, T., Müller, M.: Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators". Bielefeld University (2005).
Baier, Gerold, Hermann, Thomas, and Müller, Markus. Supplementary Material for "Polyrhythmic Organization of Coupled Nonlinear Oscillators". Bielefeld University, 2005.
All files available under the following license(s):
Main File(s)
File Name
Description
Sequence of rhythms as parameter epsilon is continuously varied from 0.5 to 0.99 (mp3, 494k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
File Name
Description
A chaotic polyrhythm with parameters as in Fig. 3 in two different speeds.
epsilon=0.74, D=0.005, T=50sec (mp3, 1.2M).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
File Name
Description
An intermittent polyrhythm with parameters I=0.0605, epsilon=0.6445, D=0.005, T = 20sec (mp3, 329k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
File Name
Description
A chaotic polyrhythm with parameters as in Fig. 3 in two different speeds.
epsilon=0.74, D=0.005 (mp3,494k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
File Name
Description
A 4:3 Polyrhythm with parameters as in Fig. 2.
epsilon=0.75, D=0.005 (mp3, 306k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
File Name
Description
A polyrhythm in a 3 oscillator system with internal frequencies set to 5:4:3 and D=0.01 (mp3, 1.4M).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
Description
A chaotic polyrhythm in a three oscillator system with internal frequencies set to 1.0:0.9:0.55 and D=0.0032 (other parameters as in eq. 1) (mp3, 5sec, 95k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
Description
A chaotic polyrhythm in a three oscillator system with internal frequencies set to 1.0:0.9:0.55 and D=0.0032 (other parameters as in eq. 1) (mp3, 45sec, 720k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
File Name
Description
Sequence of rhythms as in S5 but with total duration 60 sec (mp3, 1.4M).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z
Description
A chaotic polyrhythm in a three oscillator system with internal frequencies set to 1.0:0.9:0.55 and D=0.0032 (other parameters as in eq. 1) (mp3, 15sec, 250k).
Access Level
OA Open Access
Last Uploaded
2016-01-27T07:55:18Z

This data publication is cited in the following publications:
2017114
Polyrhythmic Organization of Coupled Nonlinear Oscillators
Baier G, Hermann T, Müller M (2005)
In: IV' 05: Proceedings of the Ninth International Conference on Information Visualisation (IV'05). Los Alamitos, CA, USA: IEEE Computer Society: 5-10.
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Search this title in

Google Scholar