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Cognitive Neurodynamics
Erschienen in: Cognitive Neurodynamics 3/2008

01.09.2008 | Research Article

Towards dynamical system models of language-related brain potentials

verfasst von: Peter beim Graben, Sabrina Gerth, Shravan Vasishth

Erschienen in: Cognitive Neurodynamics | Ausgabe 3/2008

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Abstract

Event-related brain potentials (ERP) are important neural correlates of cognitive processes. In the domain of language processing, the N400 and P600 reflect lexical-semantic integration and syntactic processing problems, respectively. We suggest an interpretation of these markers in terms of dynamical system theory and present two nonlinear dynamical models for syntactic computations where different processing strategies correspond to functionally different regions in the system’s phase space.
Vorheriger Artikel Dynamical properties of the two-process model for sleep-wake cycles in infantile autism
Nächster Artikel An empirical EEG analysis in brain death diagnosis for adults

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Fußnoten
1
Ungrammatical sentences are usually denoted by the * in linguistic examples.
 
2
Also an early left anterior negativity (ELAN) was observed for such violations (Friederici et al. 1993).
 
3
Note that we modified Smolensky’s original definition slightly: The ordered pairs (f, r) are the definiens of the filler/role binding f/r(s), the definiendum, which therefore has to stand in front of the set definition symbol “|”.
 
4
We shall see below, that the sum in Eq. 27 has to be replaced by the direct sum over tensor product spaces for a proper treatment of recursion.
 
5
Words u = u 1,…, u p , v = v 1,…, v q of finite length formed from symbols in T, can be concatenated to form a new word \(u \cdot v = u_{1}, \ldots, u_{p} v_{1}, \ldots, v_{q}\in{\mathbf{T}}^{\ast}.\) This concatenation product is associative: u ·(v ·w) = (u ·v) ·w, such that (T*,·) forms a semigroup. Note that the concatenation is generally not commutative, thus justifying the notion of a “quantum operator”.
 
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Metadaten
Titel
Towards dynamical system models of language-related brain potentials
verfasst von
Peter beim Graben
Sabrina Gerth
Shravan Vasishth
Publikationsdatum
01.09.2008
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 3/2008
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-008-9041-5

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