Nonlinear Dynamics and Psycholinguistics: A Special Double by Guy C. Van Orden

By Guy C. Van Orden

First released in 2002. Routledge is an imprint of Taylor & Francis, an informa corporation.

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For the second simulation, I used a pushdown automaton to generate strings from the palindrome language. 5 wherever embedding was possible. Interleaving. Harman (1963), perhaps inspired by the ubiquity of nested dependencies in English and other languages, promoted the thesis that a restrictive theory of grammar should use only (context-free) phrase-structure grammars for syntactic representation (see also Pullum & Gazdar, 1982). Claims such as his prompted linguists to search the languages of the world for patterns that could not be handled by context-free rules.

Zaenen, A. (1982). Cross-serial dependencies in Dutch. Linguistic Inquiry, 13, 613–635. , Turvey, M. , Kugler, P. , & Shaw, R. E. (1984). Inadequacies of the computer metaphor. In M. S. ), Handbook of cognitive neuroscience (pp. 229–248). New York: Plenum. Charniak, E. (1993). Statistical language learning. Cambridge, MA: MIT Press. Chomsky, N. (1957). Syntactic structures. The Hague, The Netherlands: Mouton. Chomsky, N. (1981). Lectures on government and binding. Dordrecht, The Netherlands: Foris.

If DA 0 starts at z = (½,½), then every trajectory produces a string with an equal number of as, bs, cs, and ds. The Jacobian  1 0 for the b and c transitions is I, the identity matrix. For the a transitions, it is  2 1  , 0 2   2 0 and for the d transitions, it is   . Therefore, the Oseledec matrix is I in the  0 2 limit and both Lyapunov exponents are 0. A similar analysis applies anytime a fractal set is used to keep track of a stack memory, where well-formedness maps to an empty stack.

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