Interplay between order-parameter and system parameter dynamics: considerations on perceptual-cognitive-behavioral mode-mode transitions exhibiting positive and negative hysteresis and on response times

Journal of Biological Physics
Till D FrankH S Harrison

Abstract

A mathematical model is presented for the emergence of perceptual-cognitive-behavioral modes in psychophysical experiments in which participants are confronted with two alternatives. The model is based on the theory of self-organization and, in particular, the order parameter concept such that the emergence of a mode is conceptualized as an instability leading to the emergence of an appropriately defined order parameter. The order parameter model is merged with a second model that describes adaptation in terms of a system parameter dynamics. It is shown that the two-component model predicts hysteretic mode-mode transitions when control parameters are increased or decreased beyond critical values. The two-component model can account for both positive and negative hysteresis effects due to the interaction between order parameter and system parameter dynamics. Moreover, the model-based analysis reveals that response time curves look rather flat when response times are relatively decoupled from the mode-mode transition phenomenon. In general, response time curves exhibit a peaked close to the mode-mode transition point. In this context, the possibility is discussed that such peaked response time curves belong to the class of critic...Continue Reading

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Citations

May 26, 2016·Experimental Brain Research·Seokhun Kim, Till D Frank
Jun 22, 2017·Experimental Psychology·Jeffrey B WagmanAlen Hajnal
Oct 28, 2019·Attention, Perception & Psychophysics·Dobromir G DotovTill D Frank
Feb 12, 2020·Wiley Interdisciplinary Reviews. Cognitive Science·Luis H Favela
Aug 18, 2020·Journal of Vision·Andreia VerdadeMiguel Castelo-Branco
Aug 19, 2021·Biological cybernetics·J A Scott Kelso

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