Nonlinear Dynamics Seminar
Topics
Introduction to Nonlinear Dynamics
- Clayton (1997), Chapters 1-4
Complexity & Self-organization
- Bak (1996)
- Horgan (1995)
- Sulis (submitted) - solitons
1/f and other Noises
- Gilden, Thornton, & Mallon, (1995)
- Gilden (1997)
- Pressing & Jolley-Rogers (submitted)
- Clayton & Frey (1997)
- Wright & Chubb (August, 1997)
Psychophysics
- Gregson (1988, 1992, 1995)
Fractal Perception
- Gilden, Schmuckler, & Clayton (1993)
- Clayton & Frey (June, 1996)
- Bird (draft)
Motor Control ("perception-action coupling")
- Mpitsos, et al (1988)
- Zanone & Kelso (1992)
- Thelen (1992) - reaching
- Kalish & Fikes (November, 1994)
- Pressing (submitted)
Learning
- Hoyert (1992) - operant conditioning
- Skarda & Freeman (1987)
- Freeman & Skarda (1990)
- Gregson (1993) - categorical learning?
- Nicolis & Katsikaas (1993) - pattern recognition?
Catastrophe Theory
- Baker & Frey (1980)
- Guastello (1995)
Language and thought
Developmental
- van Geert (1991, 1994)
- Dirlam (1996)
- Thelen (1992), Thelen & Smith (1994)
Nonlinear dynamics in Neural Nets
- Heath (draft)
- Verschure (1991) - not at VU
Neurology
- EEG - Pritchard & Duke (1992)
- Mac Cormac & Stamenov (1996).
Nonlinear modeling
- Luce (1995) - 4 tensions paper
- Roughgarden (1998)
- Thompson & Stewart (1986).
Theorists
- Kelso (1995) - self organization in behavior and brain
- Freeman (1995) - Societies of brains
- Goertzel (1993a, 1993b, 1994) - intelligence, chaotic logic
- Bird (1996 draft)
References
General & Modeling
- Briggs, J. & Peat, D. F. (1989). Turbulent Mirror: An Illustrated
Guide to Chaos Theory and the Science of Wholeness. New York, NY: Harper
& Rowe.
- Gleik, J. (1988). Chaos: Making a New Science. New York, NY: Penguin
Books.
- Kaplan, D. & Glass, L. (1995). Understanding Nonlinear Dynamics.
New York, NY: Springer-Verlag.
- Lorenz, E. N. (1993). Essence of Chaos. Seattle, WA: University of
Washington Press.
- Roughgarden, J. (19998). Primer of Ecological Theory. Upper Saddle
River, NJ: Prentice-Hall
- Stewart, I. (1989). Does God Play Dice? The Mathematics of Chaos. Cambrige,
MA: Basil Blackwell, Inc.
- Thompson, J. M. T. & Stewart, H. B. (1986). Nonlinear Dynamics
and Chaos: Geometrical Methods for Engineers and Scientists. NY: Wiley.
- Psychological Applications
- Bak, P. (1996). How Nature Works: The Science of Self-organized Criticality.
New York: Springer-Verlag.
- Baker, J. S. & Frey, P. W. (1980). A cusp catastrophe: Hysteresis,
bimodality, and inaccessibility in rabbit eyelid conditioning. Learning
and Motivation, 10, 520-535.
- Bird, R. (unpublished draft) Chaos and Dimensionality
- Clayton, K. (1997) "Nonlinear Dynamics in Psychology". Unpublished
manuscript.
- Clayton, K. & Frey, B. (June, 1996). Fractal
Memory for Visual Form. Paper presented to the annual convention of
the Society for Chaos Theory in Psychology & Life Sciences, Berkeley,
CA. -
- Clayton, K. & Frey, B. B. (1997). Studies of mental "noise".
Nonlinear Dynamics, Psychology and Life Sciences, 1, 173-180.
- Dirlam, D. K. (1997). Chaos, competition, and the necessity to create.
Mind, Culture, and Activity, 4, 34-41.
- Freeman, W. J. (1995). Societies of Brains: A Study in the Neuroscience
of Love and Hate. Hillsdale, NJ.: L. Erlbaum Associates.
- Freeman, W. J. & Skarda, C. A. (1990). Chaotic dynamics versus
representation. Behavioral and Brain Sciences ,13, 167-168.
- Gilden, D. L., Schmuckler, M. A., & Clayton, K. (1993) The perception
of natural contour. Psychological Review, 100, 460-478.
- Gilden, D. L., Thornton, T., & Mallon, M. W. (1995). 1/f noise
in human cognition. Science, 267, 1837-1839.
- Gilden, D. L. (1997). Fluctuations in the time required for elementary
decisions. Psychological Science, 8, 296-301.
- Goertzel, B. (1993a). The Structure of Intelligence. New York, NY:
Springer-Verlag.
- Goertzel, B. (1993b). The Evolving Mind. The World Futures General
Evolution Studies, V. 6. New York: Gordon and Breach. - BD418.3 G597e BioMed
books 3rd floor
- Goertzel, B. (1994). Chaotic Logic.: Language, Thought and Reality
from the Perspective of Complex Systems Science. NewYork: Plenum Press.
- Gregson, R. A. M. (1988) Non-linear Psychophysical Dynamics. Hillsdale,
NJ: Erlbaum.
- Gregson, R. A. M. (1992). N-Dimensional Nonlinear Psychophysics: theory
and case studies. Hillsdale, N.J.: L. Erlbaum Associates.
- Gregson, R. A. M. (1993). Learning in the context of nonlinear psychophysics:
The Gamma Zak embedding. British Journal of Mathematical Statistics in
Psychology, 46, 31-48.
- Gregson, R. A. M. (1995). Cascades and Fields in Perceptual Psychophysics.
Singapore: World Scientific Publishing Co Pte Ltd.
- Guastello, S. J. (1995). Chaos, Catastrophe, and Human Affairs: Applications
of Nonlinear Dynamics to Work, Organizations, and Social Evolution. Mahwah,
NJ: Lawrence Erlbaum.
- Heath, R. A. (draft). A chaotic neural network model for human cognition:
Some preliminary results.
- Horgan, J. (1995). From complexity to perplexity. Scientific American,
272, 104-109.
- Hoyert, M. S. (1992). Order and chaos in fixed-interval schedules of
reinforcement. Journal of the Experimental Analysis of Behavior, 57, 339-363.
- Kalish, M. L. & Fikes, T. G. (November, 1994). The Dynamics of
Learning and Performance in Blind Reaching. Poster presented at the annual
meeting of the Psychonomics Society, St. Louis, MO.
- Kelso, J. A. S. (1995). Dynamic Patterns: The Self-Organization of
Brain and Behavior. Cambridge, Mass: MIT Press.
- Luce, R. D. (1995). Four tensions concerning mathematical modeling
in psychology. In J. T. Spence, J. M. Darley, & D. J. Foss (Eds.) Annual
Review of Psychology, Vol. 46. Palo Alto, CA: Annual Reviews, Inc. Pp.
1-26.
- Mac Cormac, E. & Stamenov, M. I. (Eds.) (1996). Fractals Of Brain,
Fractals Of Mind: In Search Of A Symmetry Bond. Philadelphia, PA: Johns
Benjamins.
- Mpitsos, G. J., Burton, R. M., Creech, H. C., & Soinila, S. O.
(1988). Evidence for chaos in spike trains of neurons that generate rhythmic
motor patterns. Brain Research Bulletin, 21, 529-538.
- Nicolis, J. S., & Katsikaas, A. A. (1993). Chaotic dynamics of
linguistic-like processes at the syntactical and semantic levels: In the
pursuit of a multifractal attractor. Chapter 4 in B. J. West (Ed.) Patterns,
Information and Chaos in Neuronal Systems. Singapore: World Scientific.
Pp.123-231.
- Pressing, J. (submitted). Death of a paradigm crisis: A cognitive control/dynamical
systems formulation of psychological processes and its application to the
modeling of timed human movement.
- Pressing, J. & Jolley-Rogers, G. (submitted). Spectral properties
of human cognition and skill.
- Pritchard, W. S. & Duke, D. W. (1992). Measuring chaos in the brain:
A tutorial review of nonlinear dynamical EEG analysis. International Journal
of Neuroscience, 67, 31-80.
- Roughgarden, J. (1998). Primer of Ecological Theory. Upper Saddle River,
NJ: Prentice-Hall. - not at VU 8/26/97
- Skarda, C. A., & Freeman, W. J. (1987). How brains make chaos in
order to make sense of the world. Behavioral and Brain Sciences, 10, 161-173.
- Sulis, W. (submitted). Computation in complex systems. Physica D.
- Thelen, E. (1992). Development as a dynamic system. Current Directions
in Psychological Science. 1, 189-193.
- Thelen, E., & Smith, L. B. (1994). A Dynamic Systems Approach to
the Development of Cognition and Action. Cambridge, MA: MIT Press.
- Thompson, J. M. T. & Stewart, H. B. (1986). Nonlinear Dynamics
and Chaos. New York, NY: John Wiley.
- van Geert, P. (1991). A dynamic systems model of cognitive and language
growth. Psychological Review, 98, 3-53.
- Verschure, P. (1991). Chaos based learning, Complex Systems , 5, 359-370.
- Wright, C. & Chubb, C. (August, 1997). Sources of 1/f variability
in repeated judgments and productions. Paper presented at the annual meeting
of the Society for Chaos Theory in Psychoology & Life Sciences. Milwaukee,
WI, 1997.
- Zanone, P. G. & Kelso, J. A. S. (1992). Evolution of behavioral
attractors with learning: Nonequilibrium phase transitions. Journal of
Experimental Psychology: Human Perception and Performance, 18, 403-421.
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