Multifractal Dynamics in the Emergence of Cognitive Structure

Topics in Cognitive Science

Volumn 4, Issue 1, 2012, Pages 51-62

  Dixon, James A ^a   Holden, John G ^b   Mirman, Daniel ^c   Stephen, Damian G ^d  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b UNIVERSITY OF CINCINNATI   (United States)

^c MOSS REHABILITATION RESEARCH INSTITUTE   (United States)

^d HARVARD UNIVERSITY   (United States)

Author keywords

Diffusion; Emergence; Fractals; Multifractals; Power laws

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; COGNITION; FRACTAL ANALYSIS; HUMAN; METHODOLOGY; NEUROPSYCHOLOGY; PROBLEM SOLVING; PSYCHOLOGY;

COGNITION; COGNITIVE SCIENCE; FRACTALS; HUMANS; MODELS, NEUROLOGICAL; NEUROPSYCHOLOGY; PROBLEM SOLVING;

EID: 84855933753     PISSN: 17568757     EISSN: 17568765     Source Type: Journal    
DOI: 10.1111/j.1756-8765.2011.01162.x     Document Type: Article

References (52)

1. Aks, D. J., & Sprott, J. C. (2003). The role of depth and 1/f dynamics in perceiving reversible figures. Nonlinear Dynamics, Psychology, and Life Sciences, 7(2), 161-180.
2. Aranda, J. S., Salgado, E., & Munoz-Diosdado, A. (2006). Multifractality in intracellular enzymatic reactions. Journal of Theoretical Biology, 240, 209-217.
3. Bak, P. (1996). How nature works. New York: Springer-Verlag.
4. Behrmann, M., Thomas, C., & Humphreys, K. (2006). Seeing it differently: Visual processing in autism. Trends in Cognitive Sciences, 10(6), 258-264.
5. Bonamy, D., Ponson, L., Prades, S., Bouchaud, E., & Guillot, C. (2006). Scaling exponents for fracture surfaces in homogeneous glass and glassy ceramics. Physical Review Letters, 97, 135504.
6. Caramazza, A. (1986). On drawing inferences about the structure of normal cognitive systems from the analysis of patterns of impaired performance: The case for single-patient studies. Brain and Cognition, 5(1), 41-66.
7. Chen, Y., Ding, M., & Kelso, J. A. S. (2001). Origins of timing errors in human sensorimotor coordination. Journal of Motor Behavior, 33, 1-8.
8. Corell, J. (2008). 1/f noise and effort on implicit measures of racial bias. Journal of Personality & Social Psychology, 94, 48-59.
9. Dawson, G., Meltzoff, A. N., Osterling, J., Rinaldi, J., & Brown, E. (1998). Children with autism fail to orient to naturally occurring social stimuli. Journal of Autism and Developmental Disorders, 28(6), 479-485.
10. Delignières, D., Fortes, M., & Ninot, G. (2004). The fractal dynamics of self-esteem and physical self. Nonlinear Dynamics in Psychology and Life Sciences, 8, 479-510.
11. Descartes, R. (1998). Meditations on first philosophy (J. Cottingham, Trans.). Cambridge, England: Cambridge University Press. (Original work published 1641).
12. Dixon, J. A., & Bangert, A. S. (2002). The prehistory of discovery: Precursors of representational change in solving gear system problems. Developmental Psychology, 38, 918-933.
13. Dixon, J. A., Stephen, D. G., Boncoddo, R. A., & Anastas, J. (2010). The self-organization of cognitive structure. In B. H. Ross (Ed.), The psychology of learning & motivation, vol. 52 (pp. 343-384). Burlington, MA: Academic Press.
14. Dunn, J. C., & Kirsner, K. (2003). What can we infer from double dissociations? Cortex, 39(1), 1-7.
15. Gilden, D. L. (2001). Cognitive emissions of 1/f noise. Psychological Review, 108, 33-56.
16. Gotts, S. J., & Plaut, D. C. (2002). The impact of synaptic depression following brain damage: A connectionist account of "access/refractory" and "degraded-store" semantic impairments. Cognitive, Affective & Behavioral Neuroscience, 2(3), 187-213.
17. Grebogi, C., Ott, E., Romeiras, F., & Yorke, J. A. (1987). Critical exponents for crisis-induced intermittency. Physical Review A, 36, 5365-5380.
18. Hausdorff, J. M., Mitchell, S. L., Firtion, R., Peng, C.-K., Cudkowicz, M. E., Wei, J. Y., & Goldberger, A. L. (1997). Altered fractal dynamics of gait: Reduced stride-interval correlations with aging and Huntingon's disease. Journal of Applied Physiology, 82, 262-269.
19. Heinrich, M. C., Levental, I., Gelman, H., Janmey, P. A., & Baumgart, T. (2008). Critical exponents for line tension and dipole density difference from lipid monolayer domain boundary fluctuations. Journal of Physical Chemistry, 112, 8063-8068.
20. Holden, J. G., Choi, I., Amazeen, P. G., & Van Orden, G. (2011). Fractal 1/f{hook} dynamics suggest entanglement of measurement and human performance. Journal of Experimental Psychology: Human Perception and Performance, 37, 935-948.
21. Holden, J. G., Van Orden, G., & Turvey, M. T. (2009). Dispersion of response times reveals cognitive dynamics. Psychological Review, 116, 318-342.
22. a fluctuation. Journal of Experimental Psychology: General, 139, 436-463.
23. Jefferies, E., & Lambon Ralph, M. A. (2006). Semantic impairment in stroke aphasia versus semantic dementia: A case-series comparison. Brain, 129, 2132-2147.
24. Jensen, H. J. (1998). Self-organized criticality. Cambridge, UK: Cambridge University Press.
25. Kaschak, M. P., Madden, C. J., Therriault, D. J., Yaxley, R. H., Aveyard, M., Blanchard, A., & Zwaan, R. A. (2005). Perception of motion affects language processing. Cognition, 94, B79-B89.
26. Kello, C. T., & Plaut, D. C. (2003). Strategic control over rate of processing in word reading: A computational investigation. Journal of Memory & Language, 48(1), 207-232.
27. Kello, C. T., Sibley, D. E., & Plaut, D. C. (2005). Dissociations in performance on novel versus irregular items: Single-route demonstrations with input gain in localist and distributed models. Cognitive Science, 29, 627-654.
28. Kugler, P. N., & Turvey, M. T. (1987). Information, natural law, and the self-assembly of rhythmic movement. Hillsdale, NJ: Erlbaum.
29. Magnuson, J. S., Tanenhaus, M. K., Aslin, R. N., & Dahan, D. (2003). The time course of spoken word recognition and learning: Studies with artificial lexicons. Journal of Experimental Psychology: General, 132(2), 202-227.
30. Mirman, D., Irwin, J. R., & Stephen, D. G. (in press). Eye movement dynamics: A novel analytical method for studying cognitive self-organization in development and Autism Spectrum Disorders. Cognitive Neurodynamics.
31. Ratcliff, R. (1978). A theory of memory retrieval. Psychological Review, 85, 59-108.
32. Rhodes, T., & Turvey, M. T. (2007). Human memory retrieval as Lévy foraging. Physica A, 385, 255-260.
33. Scafetta, N., & Grigolini, P. (2002). Scaling detection in time series: Diffusion entropy analysis. Physical Review E, 66, 036130.
34. Sengers, J. V., & Shanks, J. G. (2009). Experimental critical-exponent values for fluids. Journal of Statistical Physics, 137, 857-877.
35. Shinbrot, T., & Muzzio, F. J. (2001). Noise to order. Nature, 410, 251-258.
36. Shlesinger, M. F., Zaslavsky, G. M., & Klafter, J. (1993). Strange kinetics. Nature, 363, 31-37.
37. Stephen, D. G., & Anastas, J. (in press). Fractal fluctuations in gaze speed visual search. Attention, Perception, & Psychophysics.
38. Stephen, D. G., Boncoddo, R. A., Magnuson, J. S., & Dixon, J. A. (2009). The dynamics of insight: Mathematical discovery as a phase transition. Memory & Cognition, 37, 1132-1149.
39. Stephen, D. G., & Dixon, J. A. (2009). Beyond prediction: Timing emerges from multifractality of perception-action. Poster presented at the annual meeting of the Psychonomic Society, Boston, MA.
40. Stephen, D. G., & Dixon, J. A. (2011). Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors. Chaos, Solitons, and Fractals, 44, 160-168.
41. Stephen, D. G., Dixon, J. A., & Isenhower, R. W. (2009). Dynamics of representational change: Entropy, action, and cognition. Journal of Experimental Psychology: Human Perception and Performance, 35, 1811-1822.
42. Stephen, D. G., & Mirman, D. (2010). Interactions dominate the dynamics of visual cognition. Cognition, 115, 154-165.
43. Stephen, D. G., Mirman, D., Magnuson, J. S., & Dixon, J. A. (2009). Lévy-like diffusion in spoken-language comprehension. Physical Review E, 79, 056114.
44. Sternberg, S. (1969). The discovery of processing stages: Extensions of Donders' method. Acta Psychologica, 30, 276-315.
45. Sternberg, S. (2001). Separate modifiability, mental modules, and the use of pure and composite measures to reveal them. Acta Psychologica, 106, 147-246.
46. Stewart, I., & Golubitsky, M. (2001). Fearful symmetry: Is God a geometer? London: Penguin.
47. Van Orden, G., Holden, J. G., & Turvey, M. T. (2003). Human cognition and 1/f scaling. Journal of Experimental Psychology: General, 134, 117-123.
48. Van Orden, G., Holden, J. G., & Turvey, M. T. (2005). Self-organization of cognitive performance. Journal of Experimental Psychology: General, 132, 331-350.
49. Van Orden, G., Kloos, H., & Wallot, S. (2009). Living in the pink: Intentionality, wellbeing, and complexity. In C. Hooker (Ed.), Handbook of the philosophy of science, vol. 10: philosophy of complex systems (pp. 639-682). Amsterdam: Elsevier.
50. Van Orden, G., Pennington, B. F., & Stone, G. O. (2001). What do double dissociations prove? Cognitive Science, 25(1), 111-172.
51. Wagenmakers, E.-J., Farrell, S., & Ratcliff, R. (2004). Estimation and interpretation of 1/f noise in human cognition. Psychonomic Bulletin & Review, 11, 579-615.
52. Warrington, E. K., & Cipolotti, L. (1996). Word comprehension: The distinction between refractory and storage impairments. Brain, 119(2), 611-625.