Polyrhythmic organization of coupled nonlinear oscillators

Proceedings of the International Conference on Information Visualisation

Volumn 2005, Issue , 2005, Pages 5-10

  Baier, Gerald ^a   Hermann, Thomas ^b   Müller, Markus ^a  

^a UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

^b BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; NATURAL FREQUENCIES; STRENGTH OF MATERIALS; TIME VARYING SYSTEMS;

CHAOTIC RHYTHMIC PATTERNS; NONLINEAR OSCILLATORS; POLYRHYTHMS; SONIFICATION STRATEGIES;

OSCILLATORS (MECHANICAL);

EID: 33749078535     PISSN: 10939547     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IV.2005.99     Document Type: Conference Paper

References (17)

1. S. Handel, Listening, MIT Press, Cambridge, 1989, chapter 11.
2. http://www.xs4all.nl/~marcz/Polyrhythm.html
3. L. Glass, M. Mackay, From Clocks to Chaos, Princeton University Press, 1988.
4. http://www.techfak.uni-bielefeld.de/~thermann/projects/index.html
5. K.F. Wenckebach. Arrhythmia of the Heart: a Physiological and Clinical Study. Green, Edinburgh, 1904.
6. see e.g. W.L. Gulick, G.A. Geschieder, R.D. Frisina, Hearing - Physiological Acoustics, Neural Coding, and Psychoacoustics. Oxford University Press, New York 1989.
7. S. Handel, Using Polyrhythm to Study Rhythm, Music Perception 1, 465 (1984).
8. G. Baier and S. Sahle, Listening to Chaos: the Aural Representation of Irregular Rhythms. In: H.H. Diebner, T. Druckery and P. Weibel (eds.), Sciences of the Interface, Genista Verlag, Tübingen (2001), p. 255. Sonifications at: http://basic-research.zkm.de:8080/basic_research/projekte/?top=vertonung
9. G. Baier and M. Müller, Excitable Chaos in Diffusively Coupled FitzHugh-Nagumo Equations. Rev. Mex. Fís, 50, 422 (2004).
10. G. Baier and M. Klein (Eds.), A Chaotic Hierarchy. World Scientific, Singapore 1991.
11. G. Baier and S. Sahle, Spatio-Temporal Patterns with Hyperchaotic Dynamics in Diffusively Coupled Biochemical Oscillators. Discrete Dynamics in Nature and Society 1, 161 (1997)
12. S. Sahle and G. Baier, track 16 of the CD accompaning G. Baier, Rhythmus (in German), Rowohlt Verlag, Reinbeck, 2001.
13. Also c.f. "Listening to epilepsy" on the webpage http://www.cerebraldynamics.org
14. G. Baier, R. Leder, P. Parmananda, Human Electroence-phalogram Induces Transient Coherence in Excitable Spatio-temporal Chaos, Phys. Rev. Lett. 84, 4501 (2000).
15. G. Baier and M. Müller, The Nonlinear Dynamic Conversion of Analog Signals into Excitation Patterns, Phys. Rev. E 70, 037201 (2004).
16. G. Baier and T. Hermann, The Sonification of Rhythms in Human Electroencephalogram. Proceedings of ICAD 2004, July 6-9, Sydney (2004).
17. See also: T. Hermann, G. Baier and M. Müller, Polyrhythm in the Human Brain, Proceedings of ICAD 2004, July 6-9, Sydney (2004).