© 1989 – Psychology Press
Nonlinear Psychophysical Dynamics utilizes new results in systems theory as a foundation for representing sensory channels as a form of recursive loop processes. It demonstrates that a range of phenomena, previously treated as diverse or anomalous, are more readily seen as related and as the natural consequence of self-regulation and nonlinearity. Some cases with appropriate data analysis are reviewed.
"In this monograph, Gregson has provided some valuable guidelines for a careful investigation of the applicability of such an original nonlinear model….We can be thankful to Professor Gregson for revealing to us how ecologically viable mathematical psychology can really be."
—Journal of Mathematical Psychology
Contents: General Qualitative Dynamics of Some Nonlinear Systems. Choice of a Recursive Core Equation. A Recursive Loop System Using . A Subjective Weber Function and Output Uncertainty. A Generic Dynamic Mapping of Environment onto . Further Variants on Mapping of Inputs. Cascading of the Loop. Elementary Identification of Variants and Parameters. Matching Data Patterns and Theory Patterns. Metric or Nonmetric Scaling: Properties of Outputs. Analogues of SDT and Isocriterion Plots. Range and Transposition Effects. Mixing and Attenuation. R sum .