Temporal order of nonlinear dynamics in human brain

Brain Research Reviews

Volumn 45, Issue 2, 2004, Pages 79-95

  Tirsch, W S ^a   Stude, Ph ^b   Scherb, H ^a   Keidel, M ^c  

^a INSTITUTE OF EPIDEMIOLOGY   (Germany)

^b UNIVERSITY HOSPITAL ESSEN   (Germany)

^c Kliniken F Neurol Neurologische R   (Germany)

Author keywords

Aging Biological rhythms; Complexity; Correlation dimension; EEG; Neural basis of behavior; Nonlinear dynamics; Periodicity; Temporal order

Indexed keywords

ADULT; ANALYSIS OF VARIANCE; BRAIN; CELL SYNCHRONIZATION; CONTROLLED STUDY; CORRELATION ANALYSIS; ELECTRIC ACTIVITY; ELECTROENCEPHALOGRAM; EVALUATION; FRIEDMAN TEST; HUMAN; HUMAN EXPERIMENT; HYPOTHESIS; INFORMATION; MULTIVARIATE ANALYSIS; NERVE CELL NETWORK; NONLINEAR SYSTEM; NORMAL DISTRIBUTION; NORMAL HUMAN; OSCILLATION; PERIODICITY; PRIORITY JOURNAL; RECORDING; REVIEW; SPECTROSCOPY; STATISTICAL ANALYSIS; STRENGTH; STUDENT T TEST; TIME SERIES ANALYSIS; WAKEFULNESS;

ACTION POTENTIALS; ADULT; BIOLOGICAL CLOCKS; BRAIN; CORTICAL SYNCHRONIZATION; ELECTROENCEPHALOGRAPHY; HUMANS; NERVE NET; NEURAL PATHWAYS; NONLINEAR DYNAMICS; NORMAL DISTRIBUTION; PERIODICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS;

EID: 2442427652     PISSN: 01650173     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.brainresrev.2004.01.002     Document Type: Review

References (138)

1. Accardo A., Affinito M., Carrozzi M., Bouquet F. Use of fractal dimension for the analysis of electroencephalographic time series. Biol. Cybern. 77:1997;339-350
2. Achimowicz J.Z. On the deterministic brain states revealed by VEP classification in phase domain. Dvořák I., Holden A.V. Mathematical Approaches to Brain Functioning Diagnostics. 1991;209-230 Manchester University Press, Manchester
3. J.Z. Achimowicz, Evaluation of pilot psychophysiological state in real time by analysis of spectral dynamics in EEG and ERP correlates of sensory and cognitive brain functions and its possible coupling with autonomic nervous system, Research Proposal Draft Version 10.5.1992, Human System Division, H.G. Armstrong Aero-space Medical Research Laboratory, Wright-Petterson Air Force Base, Ohio.
4. Adak S. Time-dependent spectral analysis of nonstationarity time series. J. Am. Stat. Assoc. 93:1998;1488-1501
5. Adey R.W. Neurophysiological correlates of information transaction and storage of brain tissue. Steller E., Sprague J.M. Progress in Physiological Psychology. vol. 1:1966;1-43 Academic Press, New York
6. Adey R.W. Organization of brain tissue: is the brain a noisy processor? Int. J. Neurosci. 3:1972;271-284
7. Aizawa Y. Chaos-chaos phase transition and dimension fluctuation. Mayer-Kress G. Dimensions and Entropies in Chaotic Systems, Quantification of Complex Behavior. Springer Series in Synergetics. vol. 32:1986;34-41 Springer, New York
8. Aladjalova N.A. Infraslow oscillations of the steady potential of the cerebral cortex. Nature. 179:1957;957-961
9. Aladjalova N.A. Slow electrical processes in the brain. Progress in Brain Research. vol. 7:1964;Elsevier, Amsterdam
10. Andersen P., Andersson S.A. Physiological Basis of the Alpha Rhythm. 1968;Appleton-Century-Crofts, New York
11. Babloyantz A., Destexhe A. Strange attractors in the human cortex. Rensing L., an der Heiden U., Mackey M.C. Temporal Disorder in Human Oscillatory Systems. Springer Series in Synergetics. vol. 36:1986;48-55 Springer, New York
12. Babloyantz A., Destexhe A. Low-dimensional chaos in an instance of epilepsy. Proc. Natl. Acad. Sci. U. S. A. 83:1986;3513-3517
13. Barlow J.S. Methods of analysis of nonstationary EEGs, with emphasis on segmentation techniques: a comparative review. J. Clin. Neurophysiol. 2:1985;267-304
14. Basar E. Toward a physical approach to integrative physiology. Am. J. Physiol. 245:1983;R510-R533
15. Basar E. Synergetics of neural populations, a survey on experiments. Basar E., Flohr H., Haken H., Mandell A.J. Synergetics of the Brain. 1983;183-200 Springer, New York
16. Basar E. Chaos in Brain Function. Springer Series in Brain Dynamics. vol. 3:1990;Springer, New York
17. Basar E. Chaotic dynamics and resonance phenomena in brain function: progress, perspectives and thoughts. Basar E. Chaos in Brain Function. Springer Series in Brain Dynamics. vol. 3:1990;1-30 Springer, New York
18. Basar E., Basar-Eroglu C., Röschke J., Schütt A. The EEG is a quasi-deterministic signal anticipating sensory-cognitive tasks. Basar E., Bullock T.H. Springer Series in Brain Dynamics. vol. 2:1989;43-71 Springer, New York
19. Basar E., Basar-Eroglu C., Röschke J., Schult J. Chaos- and alpha preparation in brain function. Cotteril R. Models of Brain Function. 1989;365-395 Cambridge Univ. Press, Cambridge
20. Bay S.J., Hemami H. Modelling of a neural pattern generator with coupled nonlinear oscillators. IEEE Trans. Biomed. Eng. 34:1987;297-306
21. Berger H. Über das Elektroenkephalogramm des Menschen. Arch. Psychiatr. Nervenkr. 87:1929;527-570
22. Berger H. Über das Elektroenkephalogramm des Menschen. Nova Acta Leopold. 6:1938;173-309
23. Brenner R.P., Schaul N. Periodic EEG patterns: classification, clinical correlation, and pathophysiology. J. Clin. Neurophysiol. 7:1990;249-267
24. Brodsky B.E., Darkhovsky B.S. Nonparametric Statistical Diagnosis. Problems and Methods. 2000;Kluwer Academic Publishing, Dordrecht
25. Burioka N., Cornélissen G., Halberg F., Kaplan D.T. Relationship between correlation dimension and indices of linear analysis in both respiratory movement and electroencephalogram. Electroencephalogr. Clin. Neurophysiol. 112:2001;1147-1153
26. Burns S.K., Borbely A.A., Hall R.D. Evoked potentials: three-dimensional display. Science. 157:1967;457-459
27. Callaway E., Naghdi S. An information processing model for schizophrenia. Arch. Gen. Psychiatry. 349:1982;339-347
28. Carpenter G.A. A comparative analysis of structure and chaos in models of single nerve cells and circadian rhythms. Basar E., Flohr H., Haken H., Mandell A.J. Synergetics of the Brain. Springer Series in Synergetics. vol. 23:1983;311-329 Springer, New York
29. Carpenter G.A., Grossberg S. A neural theory of circadian rhythms: the gated pacemaker. Biol. Cybern. 48:1983;35-59
30. Dahlhaus R. Maximum likelihood estimation and model selection for locally stationary processes. J. Nonparametr. Stat. 6:1996;171-191
31. Dement W.C., Kleitman N. Cyclic variations in the EEG during sleep and their relation to eye movements, body motility, and dreaming. Electroencephalogr. Clin. Neurophysiol. 9:1957;73-690
32. Dirnagl U., Einhäupl K.M., Schmieder G., Franz P., Garner C., Pfister H.W. Etiology and significance of 0.5-2/min rhythm in intracranial pressure without periodic respiration. Hildebrandt G., Moog R., Raschke F. Chronobiology and Chronomedecine - Basic Research and Applications. 1987;209-213 Peter Lang, Frankfurt
33. Dvořák I., Holden A.V. Mathematical Approaches to Brain Functioning Diagnostics. 1991;Manchester University Press, Manchester
34. Eckmann J.P., Ruelle D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57(3):1985;617-656. (Part I)
35. Eckmann J.P., Ruelle D. Fundamental Limitations for Estimating Dimensions and Liapunov Exponents in Dynamical Systems. 1990;Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France. Preprint IHES/P/90/11
36. Erdi P. Self-organisation in the nervous system: network structure and stability. Dvořák I., Holden A.V. Mathematical Approaches to Brain Functioning Diagnostics. 1991;31-43 Manchester University Press, Manchester
37. Farmer J.D., Ott E., Yorke J.A. The dimension of chaotic attractors. Physica, D. 7:1983;153-180
38. Fell J., Kaplan A., Darkhovsky B., Röschke J. EEG analysis with nonlinear deterministic and stochastic methods: a combined strategy. Acta Neurobiol. Exp. 60:2000;87-108
39. Fingelkurts A.A., Fingelkurts A.A. Operational architectonics of the human brain biopotential field: towards solving the mind-brain problem. Brain Mind. 2:2001;261-296
40. Fingelkurts A.A., Fingelkurts A.A., Kaplan A.-Ya. The regularities of the discrete nature of multi-variability of EEG spectral patterns. Int. J. Psychophysiol. 47:2003;23-41
41. Freeman W.J. Dynamics of image formation by nerve cell assemblies. Basar E., Flohr H., Haken H., Mandell A.J. Synergetics of the Brain. 1983;102-121 Springer, New York
42. Freeman W.J. The physiology of perception. Sci. Am. 264:1991;78-85
43. Freeman W.J., Skarda C.A. Spatial EEG patterns, non-linear dynamics and perception: the neo-Sherringtonian view. Brain Res. Rev. 10:1985;147-175
44. Galambos R., Makeig S. Dynamic changes in steady-state responses. Basar E. Dynamics of Sensory and Cognitive Processing by the Brain. Springer Series in Brain Dynamics. vol. 1:1988;103-122 Springer, New York
45. Gaponov-Grekhov A.V., Rabinovich M.I. Nonstationary structures - chaos and order. Basar E., Flohr H., Haken H., Mandell A.J. Synergetics of the Brain. Springer Series in Synergetics. vol. 23:1983;227-237 Springer, New York
46. Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica, D. 9:1983;189-208
47. Gregson R.A.M., Britton L.A., Campell E.A., Gates R.G. Comparisons of the non-linear dynamics of electroencephalograms under various task loading conditions: a preliminary report. Biol. Psychol. 31:1990;173-191
48. Grenander U., Rosenblatt M. Statistical Analysis of Stationary Time Series. 1957;Wiley, New York
49. Haken H. Synergetics: an introduction. Springer Series in Synergetics. vol. 1:1977;Springer, New York
50. Haken H. Synopsis and introduction. Basar E., Flohr H., Haken H., Mandell A.J. Synergetics of the Brain. Springer Series in Synergetics. vol. 23:1983;3-25 Springer, New York
51. Haken H. Information and Self-Organization: A Macroscopic Approach to Complex Systems. Springer Series in Synergetics. vol. 40:1988;Springer, New York
52. Halberg F., Tong Y.L., Johnson E.A. Circadian system phase - an aspect of temporal morphology: procedures and illustrative examples. von Mayersbach H. The Cellular Aspects of Biorhythms. 1967;20-48 Springer, New York
53. Havstad J.W., Ehlers C. Attractor dimension of nonstationary dynamical systems from small data sets. Phys. Rev., A. 39(2):1989;845-853
54. Hayashi M., Sato K., Hori T. Ultradian rhythms in task performance, self evaluation, and EEG activity. Percept. Mot. Skills. 29:1994;791-800
55. Hildebrandt G. The autonomous time structure and its reactive modifications in the human organism. Rensing L., an der Heiden U., Mackey M.C. Temporal Disorder in Human Oscillatory Systems. Springer Series in Synergetics. vol. 36:1987;69-78 Springer, New York
56. Hildebrandt G., Moog R., Raschke F. Chronobiology and Chronomedecine - Basic Research and Applications. 1987;Peter Lang, Frankfurt
57. Hoagland H. The physiological control of judgements of durations: evidence for a chemical clock. J. Gen. Psych. 9:1933;267-287
58. Holubar J. The Sense of Time. 1969;MIT Press, Cambridge, MA
59. Hoppensteadt F.C., Izhikevich E.M. Synaptic organizations and dynamical properties of weakly connected neural oscillators. Biol. Cybern. 75:1996;117-127
60. Jahnsen H., Llinas R. Ionic basis for the electroresponsiveness and oscillatory properties of guinea-pig thalamic neurons in vitro. J. Physiol. 349:1984;227-247
61. Jansen B.H., Hasman A., Lenten R. Piece-wise EEG analysis: an objective evaluation. Int. J. Bio-Med. Comput. 12:1981;17-27
62. Jennings J.R., Coles M.G.H. Handbook of Cognitive Psychophysiology, Central and Autonomic Nervous System Approaches. Wiley Psychophysiology Handbooks. 1991;Wiley, Chichester, England
63. Kaplan A.Ya. Nonstationary EEG: methodological and experimental analysis. Usp. fiziol. Nauk (Success in Physiological Sciences). 29:1998;35-55
64. Kaplan A.Ya. The problem of segmental description of human electroencephalogram. Hum. Physiol. 25:1999;107-114
65. Katz L., Cracco R.Q. A review of the cerebral rhythms in the waking EEG. Am. J. E.E.G. Technol. 11:1971;77-100
66. Keidel W.-D. The physiological background of the electric response audiometry. Keidel W.-D., Neff W.D. Handbook of Sensory Physiology. vol. 5, Part 3:1976;105-231 Springer, New York
67. Keidel M., Keidel W.-D., Tirsch W.S., Pöppl S.J. Studying temporal order in human CNS by means of 'running' frequency and coherence analysis. Rensing L., an der Heiden U., Mackey M.C. Temporal Disorder in Human Oscillatory Systems. Springer Series in Synergetics. vol. 36:1987;69-78 Springer, New York
68. Keidel M., Keidel W.-D., Tirsch W.S., Pöppl S.J. Possible central oscillators synchronizing brain waves and muscle oscillators in man. Hildebrandt G., Moog R., Raschke F. Chronobiology and Chronomedecine - Basic Research and Applications. 1987;202-208 Peter Lang, Frankfurt
69. Keidel M., Keidel W.-D., Tirsch W.S., Pöppl S.J. Amplitude cycles of tremor, muscle oscillations and EEG by means of 'running' frequency analysis. Electroencephalogr. Clin. Neurophysiol. 69:1988;14P
70. Keidel M., Tirsch W.S., Pöppl S.J. Psychophysiological aspects of motor related brain activity. J. Psychophysiol. 3:1989;308-309
71. Keidel M., Tirsch W.S., Pöppl S.J. Circa-minute rhythm in human vibratory output. Naturwissenschaften. 76:1989;576-577
72. Keidel M., Keidel W.-D., Tirsch W.S., Pöppl S.J. Temporal pattern with circa 1-minute cycles in the running coherence function between EEG and VMG in man. J. Interdiscip. Cycle Res. 21:1990;33-50
73. Keidel M., Tirsch W.S., Pöppl S.J., Radmacher M. Circa 1-minute periodicity in brain dynamics. Brunia C.H.M., Gaillard A.W.K., Kok A. Psychophysiological Brain Research. 1990;59-64 Tilburg University Press, Tilburg
74. King C.C. Fractal and chaotic dynamics in nervous systems. Prog. Neurobiol. 36:1991;279-308
75. Kleitman N. Basic rest-activity cycle in relation to sleep and wakefulness. Kales A. Sleep: Physiology and Pathology. 1969;33-38 Lippincott, Philadelphia
76. Koepchen H.P., Hilton S.M., Trzebski A. Central Interaction Between Respiratory and Cardiovascular Control Systems. 1980;Springer, New York
77. Lacroix B., Stanus E., Servoz G., Mendlewicz J. Linear and nonlinear models for sleep cycles and ultradian oscillations in EEG spectral parameters. Koella W.P., Rüther E., Schulz H. Sleep '84. 1985;265-268 Gustav Fischer Verlag, Stuttgart
78. Langhorst P., Stroh-Werz M., Dittmar K., Camerer H. Facultative coupling of reticular neuronal activity with peripheral cardiovascular and central cortical rhythms. Brain Res. 87:1975;407-418
79. Langhorst P., Schulz P., Lambertz M., Schulz G., Camerer H. Dynamic characteristics of the " unspecific brain stem system" Koepchen H.P., Hilton S.M., Trzebski A. Central Interaction Between Respiratory and Cardiovascular Control System. 1980;30-41 Springer, New York
80. Lehnertz K., Arnhold J., Grassberger P., Elger C.E. Proceedings of the 1999 Workshop Chaos in Brain? 2000;World Scientific, London
81. Lenard H.G., Yaneza P.L., Reimer M. Polygraphic recordings in subacute sclerosing panenecephalitis. A study of the pathophysiology of the periodic EEG complexes. Neuropadiatrie. 7:1976;52-56
82. Linkenkaer-Hansen K., Nikouline V.V., Palva J.M., Ilmoniemi R.J. Long-range temporal correlations and scaling behavior in human brain oscillations. J. Neurosci. 21:2001;1370-1377
83. Lippold O. The Origin of the Alpha Rhythm. 1973;Churchill Livingstone, Edinburgh
84. Lips U., Schultz A., Pichlmayr I. Cyclic changes in absolute power of the dominant frequency band in the EEG. Electroencephalogr. Clin. Neurophysiol. 69:1988;18P
85. Llinas R.R. The intrinsic electrophysiological properties of mammalian neurons: insights into central nervous system function. Science. 242:1988;1654-1664
86. Lopes da Silva F.H. Neural mechanism underlying brain waves: from neural membranes to networks. Electroencephalogr. Clin. Neurophysiol. 79:1991;81-93
87. Lopes da Silva F.H., Storm van Leeuwen W. The cortical source of the alpha rhythm. Neurosci. Lett. 6:1977;237-241
88. Lopes da Silva F.H., van Lierop T.H.M.T., Schrijer C.F., Storm van Leeuwen W. Organization of thalamic and cortical alpha rhythms: spectra and coherences. Electroencephalogr. Clin. Neurophysiol. 35:1973;627-639
89. Lopes da Silva F.H., Hoeks A., Zetterberg L.H. Model of brain rhythmic activity, the alpha-rhythm of the thalamus. Kybernetik. 15:1974;27-37
90. Lopes da Silva F.H., Duquesnoy A., van Hulten K., Lommen J.G. Analysis of nonstationary electroencephalograms. Matejcek M., Schenk G.K. Quantitative Analysis of the EEG. 1975;421-433 AEG-Telefunken, Konstanz
91. Lopes da Silva F.H., van Rotterdam A., Barts P., van Heusden E., Burr W. Models of neuronal populations: the basic mechanisms of rhythmicity. Corner M.A., Swaab D.F. Progress in Brain Research. vol. 45:1976;281-308 Elsevier, Amsterdam
92. Lopes da Silva F.H., Kamphuis W., van Neerven J.M.A.M., Pijn P.M. Cellular and network mechanisms in the kindling model of epilepsy: the role of GABAergic inhibition and the emergence of strange attractors. John E.R., Harmony T., Prichep L., Valdes-Sosa M., Valdes-Sosa P. Machinery of the Mind. 1990;115-139 Birkhauser, Boston, MA
93. Lopes da Silva F.H., Pijn J.P.M., Gortier J.A., van Vliet E., Daalman E.W., Blanes W. Rhythms of the brain: between randomness and determinism. Lehnertz K., Arnhold J., Grassberger P., Elger C.E. Proceedings of the 1999 Workshop Chaos in Brain? 2000;63-76 World Scientific, London
94. Lugaresi E., Coccagna G., Mantovani M., Lebrun R. Some periodic phenomena arising during drowsiness and sleep in man. Electroencephalogr. Clin. Neurophysiol. 32:1972;701-705
95. Mackey M.C., Glass C. Oscillations and chaos in physiological control systems. Science. 197:1977;287-289
96. Makeig S., Inlow M. Lapses in alertness: coherence of fluctuations in performance and EEG spectrum. Electroencephalogr. Clin. Neurophysiol. 86:1993;23-35
97. Mayer-Kress G., Holzfuss J. Analysis of the human electroencephalogram with methods from non-linear dynamics. Rensing L., an der Heiden U., Mackey M.C. Temporal Disorder in Human Oscillatory Systems. Springer Series in Synergetics. vol. 36:1987;57-68 Springer, New York
98. Mayer-Kress G., Layne P.S. Dimensionality of the human electroencephalogram. Koslow S.H., Mandell A.J., Shlesinger M.F. Perspectives in Biological Dynamics and Theoretical Medicine. Ann. N. Y. Acad. Sci. vol. 504:1987;62-87 The New York Academy of Sciences, New York
99. Meneses O.S., Corsi C.M. Ultradian rhythms in the EEG and task performance. Chronobiologia. 17:1990;183-194
100. Moiseeva N.I., Aleksanian Z.A. Slow-wave oscillations or the multi-unit activity average frequency in the human brain during drowsiness and sleep. Electroencephalogr. Clin. Neurophysiol. 63:1986;431-437
101. Molnar C.E., Weiss T.F. Repetitive cortical responses to acoustic clicks. Q. Prog. Rep.-MIT Cambridge. 57:1960;55-182
102. Moruzzi G. Reticular influences on the EEG. Electroencephalogr. Clin. Neurophysiol. 16:1964;2-17
103. Moruzzi G., Magoun H.W. Brain stem reticular formation and activation of the EEG. Electroencephalogr. Clin. Neurophysiol. 1:1949;455-473
104. Mpitsos G.J. Chaos in brain function and the problem of nonstationarity: a commentary. Basar E., Bullock T.H. Springer Series in Brain Dynamics. vol. 2:1989;521-539 Springer, New York
105. Nelson M.E., Bower J.M. Brain maps and parallel computers. Trends Neurosci. 13:1990;403-408
106. Nicolis S.N. Chaotic Dynamics Applied to Biological Information Processing. 1987;Akademie-Verlag, Berlin
107. Osborne A.R., Provenzale A. Finite correlation dimension for stochastic systems with power-law spectra. Physica, D. 35:1989;357-381
108. Packardt N.H., Crutchfield J.P., Farmer J.D., Shaws R.S. Geometry from a time series. Phys. Rev. Lett. 45:1980;712-715
109. Poupard L., Sartène R. Scaling behavior in the β-wave amplitude modulation and its relationship to alertness. Biol. Cybern. 85:2001;19-26
110. Pritchard W.S., Duke D.W. Measuring chaos in the brain: a tutorial review of non-linear dynamical EEG analysis. Int. J. Neurosci. 67:1992;31-80
111. Pritchard W.S., Duke D.W. Dimensional analysis of no-task human EEG using the Grassberger-Procaccia method. Psychophysiology. 29:1992;182-192
112. Rapp P.E., Bashore E.T., Mertinerie J., Albano A., Zimmermann A., Meed A. Dynamics of brain electrical activity. Brain Topogr. 2:1990;99-118
113. Renshaw E. Modelling Biological Populations in Space and Time. 1991;Cambridge Univ. Press, Cambridge
114. Röschke J., Aldenhoff J. The dimensionality of human's electroencephalogram during sleep. Biol. Cybern. 64:1991;307-313
115. Röschke J., Basar E. Correlation dimension in various parts of the cat and human brain in different states. Basar E., Bullock T.H. Brain Dynamics: Progress and Perspectives. Springer Series in Brain Dynamics. vol. 2:1989;131-148 Springer, New York
116. Sandman C.A., Walker B.B., Berka C. Influence of afferent cardiovascular feedback on behavior and the cortical evoked potentials. Cacioppo J.T., Petty R.E. Perspectives in Cardiovascular Psychophysiology. 1982;189-222 Guilford Press, New York
117. Scheuler W., Rappelsberger P., Schmatz F. Periodicities of the alpha sleep pattern. Electroencephalogr. Clin. Neurophysiol. 70:1988;70P-71P
118. Scheuler W., Rappelsberger P., Schmatz F., Pastelak-Price C., Petsche H., Kubicki S. Periodicity analysis of sleep EEG in the second and minute ranges - example of application in different alpha activities in sleep. Electroencephalogr. Clin. Neurophysiol. 76:1990;222-234
119. Schuster H.G. Deterministic Chaos: An Introduction. 1984;VCH, Weinheim
120. Shaw J.C., O'Connor K., Ongley C. EEG coherence as a measure of the cerebral functional organisation. Brazier M.A.B., Petsche H. Architectonics of the Cerebral Cortex. 1978;245-255 Raven Press, New York
121. Skinner J.E., Molnar M. Event-related dimensional reductions in the primary auditory cortex of the conscious cat are revealed by new techniques for enhancing the non-linear dimensional algorithms. Int. J. Psychophysiol. 34:1999;21-35
122. Steriade M., Gloor P., Llinas R.R., Lopes da Silva F.H., Mesulam M.M. Basic report on cerebral rhythmic activities. Electroencephalogr. Clin. Neurophysiol. 76:1990;481-508
123. Strogatz S.H. Exploring complex networks. Nature. 410:2001;268-276
124. Szentágothai J., Erdi P. Self-organization in the nervous system. J. Soc. Biol. Struct. 12:1989;367-384
125. Takens F. Detetecting strange attractors in turbulence. Rand D.A., Young L.S. Dynamical Systems and Turbulence. Lecture Notes in Mathematics. vol. 898:1981;365-381 Springer, New York
126. Terzano M.G., Parrino L., Spaggiari M.C. The cyclic alternating pattern sequences in the dynamic organization of sleep. Electroencephalogr. Clin. Neurophysiol. 69:1988;437-447
127. Theiler J. Estimating fractal dimension. J. Opt. Soc. Am. A. 7(6):1990;1055-1073
128. Tirsch W.S., Keidel M., Pöppl S.J. Computer-aided detection of temporal patterns in human CNS dynamics. Willems J.L., van Bemmel J.H., Michel J. Progress in Computer-Assisted Function Analysis. 1988;109-118 Elsevier, Amsterdam
129. Tirsch W.S., Keidel M., Radmacher M., Pöppl S.J. Correlation between spectral density and fractal dimensionality in cyclic CNS dynamics. Dvořák I., Holden A.V. Mathematical Approaches to Brain Functioning Diagnostics. 1991;387-404 Manchester University Press, Manchester
130. Tirsch W.S., Keidel M., Perz S., Scherb H., Sommer G. Inverse covariation of spectral density and correlation dimension in cyclic EEG dynamics of the human brain. Biol. Cybern. 82:2000;1-14
131. Townsend J.T. Serial vs. parallel processing. Psychol. Sci. 1:1990;46-54
132. Treisman M. Temporal rhythms and cerebral rhythms. Gibbon J., Allan L. Timing and Time Perception. Ann. NY. Acad. Sci. vol. 423:1984;542-565
133. Tsuji Y., Kobayashi T. Short and long ultradian EEG components in daytime arousal. Electroencephalogr. Clin. Neurophysiol. 70:1988;110-117
134. Vassilevsky N.N., Aleksanian Z.A. The adaptive regulation of vegetative functions. Phiziol. Zh. SSSR. 7:1982;948-952
135. Walker B.B., Walker J.M. Phase relationship between cariotid pressure and ongoing electrocortical activity. Int. J. Psychophysiol. 1:1983;65-73
136. Werboff J. Time judgement as a function of electroencephalographic activity. Exp. Neurol. 6:1962;152-160
137. Winfree A.T. Biological rhythms and the behavior of populations of coupled oscillators. J. Theor. Biol. 16:1967;15-42
138. Wright J.J., Kydd R.R., Lees G.J. State-changes in the brain viewed as linear steady-states and non-linear transitions between steady-states. Biol. Cybern. 53:1985;11-17