Measuring Chaos in the Brain: A Tutorial Review of Nonlinear Dynamical Eeg Analysis

International Journal of Neuroscience - Tập 67 Số 1-4 - Trang 31-80 - 1992
Walter S. Pritchard1, Dennis W. Duke2
1Biobehavioral Research and Development, R.J. Reynolds Tobacco Company Winston-Salem, NC 27102.
2Supercomputer Computations Research Institute and Department of Physics, Florida State University, Tallahassee, FL, 32306

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Abarbanel H. D. I., 1991, International Journal of Modern Physics B., 5, 1347, 10.1142/S021797929100064X

Abraham N. B., 1985, Physics Letters A., 114, 217, 10.1016/0375-9601(86)90210-0

Albano A. M., 1986, Dimensions and entropies in chaotic systems, 231, 10.1007/978-3-642-71001-8_27

Albano A. M., 1987, Chaos in biological systems, 207, 10.1007/978-1-4757-9631-5_24

Albano A. M., 1988, Physical Review A, 38, 3017, 10.1103/PhysRevA.38.3017

10.1017/CBO9780511623257

Babloyantz A, 1988, Dynamics of sensory and cognitive processing by the brain, 196, 10.1007/978-3-642-71531-0_12

Babloyantz A, 1989, Brain dynamics. Progress and perspectives, 122, 10.1007/978-3-642-74557-7_10

Babloyantz A, 1989, Measures of complexity and chaos, 51, 10.1007/978-1-4757-0623-9_4

Babloyantz A, 1991, Electroencephalography and Clinical Neurophysiology, 78, 402, 10.1016/0013-4694(91)90101-9

Babloyantz A., 1986, Proceedings of the National Academy of Sciences of the United States of America, 83, 3513, 10.1073/pnas.83.10.3513

Babloyantz A., 1987, Temporal disorder in human oscillatory systems, 48, 10.1007/978-3-642-72637-8_6

Babloyantz A., 1988, From chemical to biological organization, 307, 10.1007/978-3-642-73688-9_33

Babloyantz A., 1985, Physics Letters A, 111, 152, 10.1016/0375-9601(85)90444-X

Baddi R., 1985, Journal of Statistical Physics, 40, 725, 10.1007/BF01009897

Baddi R., 1984, Physics Letters A, 104, 303, 10.1016/0375-9601(84)90801-6

Baddi R., 1988, Physical Review Letters, 60, 979, 10.1103/PhysRevLett.60.979

Bak P., 1991, Scientific American

Bak P., 1988, Physical Review A, 38, 364, 10.1103/PhysRevA.38.364

Baå E, 1983, Synergetics of the brain, 183

Baå E, 1983, American Journal of Physiology, 245, 510a

Baå E, 1990, Chaos in brain function, 1

Baå E., 1989, Models of brain function, 365

Besthorn C, 1989, Journal of Psychophysiology, 3, 312

Bressler S. L., 1991, Measuring chaos in the human brain, 6

Briggs K, 1990, Physics Letters A, 151, 27, 10.1016/0375-9601(90)90841-B

Briggs J., 1989, Turbulent mirror. An illustrated guide to chaos theory and the science of wholeness

Broadbent D. E, 1954, Journal of Experimental Psychology, 47, 191, 10.1037/h0054182

Broomhead D. S., 1986, Physica D, 20, 217, 10.1016/0167-2789(86)90031-X

Casdagli M, 1991, Chaos and deterministic versus stochastic nonlinear modeling

Casdagli M., 1991, State space reconstruction in the presence of noise, 10.1007/978-1-4899-2305-9_5

Casdagli M., 1991, Nonlinear modeling of chaotic time series: Theory and applications

Casti J. L, 1989, Paradigms lost. Images of man in the mirror of science

Cerf R., Daoudi A., Khatory A., Oumarrackchi M., Khaider M., Trio J.M., Kurtz D. Dynamique ceYdbrale et chaos ddterministe. Serie II, C. R. Acad. Sci., Paris 1990; 1037–1044, (French with English abstract), t. 311

Cherry E. C, 1953, Journal of the Acoustical Society of America, 25, 975, 10.1121/1.1907229

Coburn K. L., 1988, Brain Topography, 1, 37, 10.1007/BF01129338

Crutchfield J. P., 1986, Scientific American, 46, 46, 10.1038/scientificamerican1286-46

Destexhe A., Self-organization, emerging properties and learning

Destexhe A., 1988, Physics Letters A, 132, 101, 10.1016/0375-9601(88)90262-9

Ding M., 1991, Measuring chaos in the human brain, 17

Dvoák I., 1990, Physics Letters A, 145, 225, 10.1016/0375-9601(90)90355-R

Dvoák I., 1990, EEG/Chaos Newsletter, 20

Dvoák I., 1986, On some problems encountered in calculating the correlation dimension of EEG

Dvoák I., 1986, Activitas Nervosa Superior, 28, 228

Eckmann J.-P., 1985, Reviews in Modern Physics, 57, 617, 10.1103/RevModPhys.57.617

Ellner S, 1988, Physics letters A, 133, 128, 10.1016/0375-9601(88)90772-4

Eubank S., 1990, An introduction to chaos and randomness

Farmer J. D, 1990, Physica D, 42, 153, 10.1016/0167-2789(90)90072-W

Frank G. W., 1990, Canadian Journal of Physics, 68, 711, 10.1139/p90-101

Frank G. W., 1990, Physica D, 46, 427, 10.1016/0167-2789(90)90103-V

10.1016/0167-2789(89)90263-7

Fraser A. M., 1986, Physical Review A, 33, 1134, 10.1103/PhysRevA.33.1134

Gallez D., Biological Cybernetics

Glass L., 1988, From clocks to chaos. The rhythms of life, 10.1515/9780691221793

Gleick J, 1987, Chaos. Making a new science

Goldberger A. L., 1990, Scientific American, 42

Graf K. E., 1989, Brain dynamics. Progress and perspectives, 174, 10.1007/978-3-642-74557-7_14

Grassberger P., 1983, Physica D., 9, 189, 10.1016/0167-2789(83)90298-1

Gregson R. A. M., 1990, Biological Psychology, 31, 173, 10.1016/0301-0511(90)90016-P

Guevara M. R., 1983, IEEE Transactions on Systems, Man, and Cybernetics, 3, 790, 10.1109/TSMC.1983.6313073

Hardy L., 1991, British Journal of Psychology, 82, 163, 10.1111/j.2044-8295.1991.tb02391.x

10.1080/17470215208416600

Holzfuss J., 1986, Dimensions and entropies in chaotic systems, 114, 10.1007/978-3-642-71001-8_15

Hou X.-J., 1990, Physics Letters A, 151, 43, 10.1016/0375-9601(90)90844-E

Hyman R, 1953, Journal of Experimental Psychology, 45, 188, 10.1037/h0056940

Iasemidis L. D., 1990, Brain Topography, 2, 187, 10.1007/BF01140588

Iasemidis L. D., 1991, Measuring chaos in the human brain, 49

Ingber L, 1991, Physical Review A, 44, 4017, 10.1103/PhysRevA.44.4017

Jansen B. H, 1991, International Journal of Biomedical Computing, 27, 95, 10.1016/0020-7101(91)90090-2

Jansen B. H, 1991, Measuring chaos in the human brain, 83

Jurgens H., 1990, Scientific American, 60, 10.1038/scientificamerican0890-60

Kauffman S. A, 1991, Scientific American, 78, 10.1038/scientificamerican0891-78

Kelso J. A. S., 1991, Measuring chaos in the human brain, 97

Krystal A. D., 1991, Measuring chaos in the human brain, 113

Kuhn T. S, 1962, The structure of scientific revolutions

Kuo J.-M., 1991, Measuring chaos in the human brain, 128

Lachman R., 1979, Cognitive psychology and information processing: An introduction

Layne S. P., 1986, Dimensions and entropies in chaotic systems, 246, 10.1007/978-3-642-71001-8_29

Linsay P. S, 1991, Physics Letters A., 153, 353, 10.1016/0375-9601(91)90957-A

Lorenz E, 1963, Journal of Atmospheric Sciences, 20, 130, 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2

Lorenz E. N, 1991, Nature, 353, 241, 10.1038/353241a0

Lorig T. S., 1989, Journal of Psychophysiology, 3, 369

Madore B. F., 1987, American Scientist, 75, 252

Mandelbrot B. B, 1982, The fractal geometry of nature

Mandelbrot B, 1990, New Scientist, 15, 38

Mandell A. J., 1991, Measuring chaos in the human brain, 136

Mandell A. J., The impact of chaos on science and society

Mayer-Kress G., 1987, Perspectives in biological dynamics and theoretical medicine, 62

Mayer-Kress G., 1987, Mathematical Biosciences, 90, 155, 10.1016/0025-5564(88)90063-6

Mees A. I., 1987, Physical Review A, 36, 340, 10.1103/PhysRevA.36.340

Middleton G. V, 1990, Geoscience Canada, 17, 3

Mitschke F, 1990, Physical Review A, 41, 1169, 10.1103/PhysRevA.41.1169

Moller M., 1989, Physics Letters A, 138, 176, 10.1016/0375-9601(89)90023-6

10.1080/17470215908416289

Mpitsos G. J, 1989, Brain dynamics. Progress and perspectives, 521, 10.1007/978-3-642-74557-7_41

Nan X., 1988, Bulletin of Mathematical Biology, 50, 559, 10.1007/BF02458853

Nelson M. E., 1990, Trends in Neuroscience, 13, 403, 10.1016/0166-2236(90)90119-U

Nelson W, 1982, Applied life data analysis, 10.1002/0471725234

Nicolis G., 1989, Exploring complexity. An introduction

Osborne A. R., 1989, Physica D, 35, 357, 10.1016/0167-2789(89)90075-4

Packard N. H., 1980, Physical Review Letters, 45, 712, 10.1103/PhysRevLett.45.712

PaluŠ M., 1990, On reliability of singular-value decomposition in attractor reconstruction

Passamante A., 1989, Physical Review A, 39, 3640, 10.1103/PhysRevA.39.3640

Penrose R, 1989, The emperor's new mind. Concerning computers, minds, and the laws of physics, 10.1093/oso/9780198519737.001.0001

Pessa E., 1989, International Journal of Psychophysiology, 7, 350, 10.1016/0167-8760(89)90285-7

Pijn J. P., 1991, Electroencephalography and Clinical Neurophysiology, 79, 371, 10.1016/0013-4694(91)90202-F

Press W. H., 1989, Numerical recipes in fortran

Principe J. C., 1991, Measuring chaos in the human brain, 156

Principe J. C., 1991, Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 13, 2230

Principe J. C., 1991, Measuring chaos in the human brain, 167

Pritchard W. S, International Journal of Neuroscience

Pritchard W. S., Psychophysiology

Pritchard W. S., Journal of Psychophysiology

Pritchard W. S., 1991, Measuring chaos in the human brain, 181

Pritchard W. S., 1991, Dementia, 2, 102

Pritchard W. S., 1992, The biology of nicotine. Current research issues, 195

Rapp P. E., 1988, Dynamic patterns in complex systems, 191

Rapp P. E., 1989, Brain Topography, 2, 99, 10.1007/BF01128848

Rapp P. E., 1985, Nonlinear oscillations in chemistry and biology, 175

Ray W. J, 1990, Principles of psychophysiology: Physical, social, and inferential elements, 385

Ray W. J., 1991, Measuring chaos in the human brain, 199

Roschke J., 1990, Electroencephalography and Clinical Neurophysiology, 75, 71P

Ruelle D, 1989, Proceedings of the Royal Society of London, 427, 241, 10.1098/rspa.1990.0010

Savit R., 1991, Physica D, 50, 95, 10.1016/0167-2789(91)90083-L

Schuster H. G, 1988, Deterministic chaos. An introductionSecond Revised Edition

Serra R., 1990, Complex systems and cognitive processes, 10.1007/978-3-642-46678-6

Skarda C. A., 1987, Behavioral and Brain Sciences, 10, 161, 10.1017/S0140525X00047336

Skinner J. E, 1991, Electroencephalography and Clinical Neurophysiology, 79, 29P

Smith L. A, 1988, Physics Letters A, 133, 283, 10.1016/0375-9601(88)90445-8

Smith L. A., 1986, Physics Letters A, 114, 465, 10.1016/0375-9601(86)90695-X

Soong A. C. K., 1989, Biological Cybernetics, 62, 55, 10.1007/BF00217660

de Souza-Machado S., 1990, American Journal of Physics, 58, 321, 10.1119/1.16163

Stewart I, 1989, Does God play dice? The mathematics of chaos

Stewart I. N., 1983, Psychological Bulletin, 94, 336, 10.1037/0033-2909.94.2.336

Sugihara G., 1990, TREE, 5, 79

Sugihara G., 1990, Philosophical Transactions of the Royal Society of London, 330, 235, 10.1098/rstb.1990.0195

Szentagothai J., 1989, Journal of Social Biological Structure, 12, 364, 10.1016/0140-1750(89)90030-4

Takens F, 1980, Lecture Notes in Mathematics, 898, 365

Takens F, 1985, Lecture Notes in Mathematics, 1125, 99, 10.1007/BFb0075637

Termonia Y., 1983, Physical Review Letters, 51, 1265, 10.1103/PhysRevLett.51.1265

Theiler J, 1986, Physical Review A, 34, 2427, 10.1103/PhysRevA.34.2427

Theiler J, 1987, Physical Review A, 36, 4456, 10.1103/PhysRevA.36.4456

Theiler J, 1988, Physics Letters A, 135, 195, 10.1016/0375-9601(88)91016-X

Theiler J, 1990, Lincoln Laboratory Journal, 3, 63

Theiler J, 1990, Journal of the Optical Society of America, A., 7, 1055, 10.1364/JOSAA.7.001055

Theiler J, 1991, Physics Letters A, 155, 480, 10.1016/0375-9601(91)90651-N

Torello M. W, 1989, Brain Topography, 1, 157, 10.1007/BF01129579

Townsend J. T, 1990, Psychological Science, 1, 46, 10.1111/j.1467-9280.1990.tb00067.x

10.1080/17470216008416732

Tsonis P. A., 1989, CAB/OS, 5, 27

van Rossum J. M., 1991, Trends in Pharmacological Sciences, 12, 379, 10.1016/0165-6147(91)90608-U

Wales D. J, 1991, Nature, 350, 485, 10.1038/350485a0

Wallenstein G. V., 1991, Measuring chaos in the human brain, 232

Watt R. C., 1987, Perspectives in biological dynamics and theoretical medicine, 286

West B. J, 1990, International Journal of Modern Physics B, 4, 1629, 10.1142/S0217979290000826

West B. J, 1990, Annals of Biomedical Engineering, 18, 135, 10.1007/BF02368426

West B. J., 1987, American Scientist, 75, 354

Whitney H, 1936, Annals of Mathematics, 37, 645, 10.2307/1968482

Wolf A., 1985, Physica D, 16, 285, 10.1016/0167-2789(85)90011-9

Wright J. J, 1989, Brain dynamics, Progress and perspectives, 202, 10.1007/978-3-642-74557-7_16