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Research Article

NONLINEAR INTERDEPENDENCE IN NEURAL SYSTEMS: MOTIVATION, THEORY, AND RELEVANCE

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Pages 1263-1284 | Published online: 07 Jul 2009

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Robert W. Thatcher. (2012) Coherence, Phase Differences, Phase Shift, and Phase Lock in EEG/ERP Analyses. Developmental Neuropsychology 37:6, pages 476-496.
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RobertW. Thatcher. (2010) Validity and Reliability of Quantitative Electroencephalography. Journal of Neurotherapy 14:2, pages 122-152.
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RobertW. Thatcher, DuaneM. North, James Neubrander, CarlJ. Biver, Stewart Cutler & Phillip DeFina. (2009) Autism and EEG Phase Reset: Deficient GABA Mediated Inhibition in Thalamo-Cortical Circuits. Developmental Neuropsychology 34:6, pages 780-800.
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Michael Breakspear. (2006) The nonlinear theory of schizophrenia. Australian and New Zealand Journal of Psychiatry 40:1, pages 20-35.
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Cornelis Jan Stam. (2003) Chaos, Continuous EEG, and Cognitive Mechanisms: a Future for Clinical Neurophysiology. American Journal of Electroneurodiagnostic Technology 43:4, pages 211-227.
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Michael Breakspear, John R Terry & Karl J Friston. (2003) Modulation of excitatory synaptic coupling facilitates synchronization and complex dynamics in a biophysical model of neuronal dynamics. Network: Computation in Neural Systems 14:4, pages 703-732.
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Articles from other publishers (34)

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Anthony R. McIntosh & Viktor K. Jirsa. (2019) The hidden repertoire of brain dynamics and dysfunction. Network Neuroscience 3:4, pages 994-1008.
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Zhenhu Liang, Ye Ren, Jiaqing Yan, Duan Li, Logan J. Voss, Jamie W. Sleigh & Xiaoli Li. (2015) A comparison of different synchronization measures in electroencephalogram during propofol anesthesia. Journal of Clinical Monitoring and Computing 30:4, pages 451-466.
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Leonardo L. Gollo, Claudio Mirasso, Olaf Sporns & Michael Breakspear. (2014) Mechanisms of Zero-Lag Synchronization in Cortical Motifs. PLoS Computational Biology 10:4, pages e1003548.
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Robert W Thatcher. (2011) Neuropsychiatry and quantitative EEG in the 21st Century. Neuropsychiatry 1:5, pages 495-514.
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Selin Aviyente, Edward M. Bernat, Westley S. Evans & Scott R. Sponheim. (2010) A phase synchrony measure for quantifying dynamic functional integration in the brain. Human Brain Mapping 32:1, pages 80-93.
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C. Martín del Campo, José L. Pérez Velázquez & Miguel A. Cortez Freire. (2009) EEG Recording in Rodents, with a Focus on Epilepsy. Current Protocols in Neuroscience 49:1.
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R.W. Thatcher, D.M. North & C.J. Biver. (2008) Intelligence and EEG phase reset: A two compartmental model of phase shift and lock. NeuroImage 42:4, pages 1639-1653.
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W. L. Woon & A. Cichocki. (2007) Novel Features for Brain-Computer Interfaces. Computational Intelligence and Neuroscience 2007, pages 1-7.
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O. David, L. Harrison & K. Friston. 2007. Statistical Parametric Mapping. Statistical Parametric Mapping 414 440 .
W. Penny, N. Trujillo-Barreto & E. Aubert. 2007. Statistical Parametric Mapping. Statistical Parametric Mapping 323 336 .
David Rudrauf, Abdel Douiri, Christopher Kovach, Jean-Philippe Lachaux, Diego Cosmelli, Mario Chavez, Claude Adam, Bernard Renault, Jacques Martinerie & Michel Le Van Quyen. (2006) Frequency flows and the time-frequency dynamics of multivariate phase synchronization in brain signals. NeuroImage 31:1, pages 209-227.
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Petra Ritter & Arno Villringer. (2006) Simultaneous EEG?fMRI. Neuroscience & Biobehavioral Reviews 30:6, pages 823-838.
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Jose Luis Perez Velazquez. (2005) Brain, behaviour and mathematics: Are we using the right approaches?. Physica D: Nonlinear Phenomena 212:3-4, pages 161-182.
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Michael Breakspear & Cornelis J Stam. (2005) Dynamics of a neural system with a multiscale architecture. Philosophical Transactions of the Royal Society B: Biological Sciences 360:1457, pages 1051-1074.
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W Penny, Z Ghahramani & K Friston. (2005) Bilinear dynamical systems. Philosophical Transactions of the Royal Society B: Biological Sciences 360:1457, pages 983-993.
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Olivier David, Lee Harrison & Karl J. Friston. (2005) Modelling event-related responses in the brain. NeuroImage 25:3, pages 756-770.
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C.J. Stam, T. Montez, B.F. Jones, S.A.R.B. Rombouts, Y. van der Made, Y.A.L. Pijnenburg & Ph. Scheltens. (2005) Disturbed fluctuations of resting state EEG synchronization in Alzheimer's disease. Clinical Neurophysiology 116:3, pages 708-715.
Crossref
D. P. Burke & A. M. de Paor. (2004) A stochastic limit cycle oscillator model of the EEG. Biological Cybernetics 91:4, pages 221-230.
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