Temporal patterns of human behaviour: are there signs of deterministic 1/f scaling?

Physica A: Statistical Mechanics and its Applications

Volumn 276, Issue 3-4, 2000, Pages 596-609

  Dünki, Rudolf M ^a   Keller, Elvira ^b   Meier, Peter F ^a   Ambühl, Brigitte ^b,c  

^a PHYSIK INSTITUT DER UNIVERSITÄT ZÜRICH   (Switzerland)

^b UNIVERSITY OF BERN   (Switzerland)

^c Geronto Psychiatry Department   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FRACTALS; HUMAN ENGINEERING; MATHEMATICAL MODELS; RISK ASSESSMENT; TIME SERIES ANALYSIS;

DETERMINISTIC PROCESS; GENERIC INTERMITTENCY MODEL; NONRANDOM CORRELATION; PSYCHODYNAMIC TIME SERIES; PSYCHOSIS; SCALING PROPERTIES; TEMPORAL PATTERNS;

STATISTICAL MECHANICS;

EID: 0343962621     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00443-4     Document Type: Article

References (20)

1. Kniffki K.-D., Mandel W., Tran-Gia P. Temporal fluctuations in biorythms: expression of self-organized criticality. Fractals. 1:1993;380-387.
2. Dünki R.M., Ambühl B. Scaling properties in temporal patterns of schizophrenia. Physica A. 230:1996;544-553.
3. Canessa E., Calmetta A. Physics of a random biological process. Phys. Rev. E. 50:1994;R47-R49.
4. A. Bunde, S. Havlin (Eds.), Fractals in Science, Springer, Berlin, 1994.
5. Osborne A.R., Provenzale A. Finite correlation dimension for stochastic systems with power law spectra. Physica D. 35:1989;357-381.
6. G. Schiepek, W. Schoppek, F. Tretter, Synergetics in psychiatry - simulation of evolutionary patterns of schizophrenia on the basis of nonlinear difference equations, in: W. Tschacher, G. Schiepek, E.J. Brunner (Eds.), Self-Organization and Clinical Psychology, Springer Series in Synergetics, Vol. 58, Springer, Berlin, 1992, pp. 195-203.
7. Lorenz E.N. Deterministic nonperiodic flow. J. Atmos. Sci. 20:1963;130.
8. J. Gleick, CHAOS - Making a New Science, Penguin, New York, 1987.
9. Bergé P., Dubois M., Manneville P., Pomeau Y. Intermittency in Raleigh-Bénard convection. J. Phys. Lett. (Paris). 41:1980;L-344.
10. Pomeau Y., Manneville P. Intermittent transition to turbulence in dissipative dynamical systems. Commun. Math. Phys. 74:1980;189-197.
11. Ben-Mizrachi A., Procaccia I., Rosenberg N., Schmidt I., Schuster H.G. Real and apparent divergencies in low-frequency spectra of nonlinear dynamical systems. Phys. Rev. A. 31:1985;1830-1840.
12. Procaccia I., Schuster H.G. Functional renormalization-group theory of universal. 1/f noise in dynamical systems Phys. Rev. A. 28:1983;1210-1212.
13. H.G. Schuster, Deterministic Chaos, 2nd Edition, VCH-Publishers, Weinheim (Germany), 1989.
14. Dünki R.M. A generic intermittency model and its 1-d meta-map: power laws, invariants and the succession of laminar sequences. Physica D. 100:1997;301-310.
15. Tschacher W., Rössler O.E. The self: a procedural gestalt. Chaos, Solitons, Fractals. 7:1997;1011-1022.
16. Z. Kupper, H. Hoffmann, J.P. Dauwalder, Das Pass-Programm: Modellierung dynamischer Zusammenhänge in der beruflichen Rehabilitation, in: B. Eikelmann, T. Recker (Eds.), Sozialpsychiatrie in der Praxis. Neue Projekte, empirische Untersuchungen und Analysen, LIT-Verlag, Münster-Hamburg, 1994.
17. Sugihara G., May R.M. Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature (London). 344:1990;734-741.
18. B. Ambühl, R.M. Dünki, L. Ciompi, Dynamical systems and the development of schizophrenic symptoms - an approach to a formalization, in: W. Tschacher, G. Schiepek, E.J. Brunner (Eds.), Self-Organization and Clinical Psychology, Springer Series in Synergetics, Vol. 58, Springer, Berlin, 1992, pp. 195-203.
19. E. Aebi, K. Ackermann, D. Revenstorf, Ein Konzept der sozialen Unterstuetzung fuer akut Schizophrene, Zeitreihenanalysen taeglicher Fluktuationen psychotischer Merkmale, Zeitschr. f. Klin. Psychol. Psychopath. Psychother. 41 (1993) 18-30.
20. Welch P.D. The use of Fast Fourier Transform for the estimation of power spectra: a method based on time averaging over short modified periodograms. IEEE Trans. Audio Elect. 15:1967;70-73.