Cascades and Fields in Perceptual Psychophysics

Psychophysics is by definition mappings between events inthe environment and levels of human sensory responses. In this textthe methods of nonlinear dynamics, employing trajectories developedfor simpler sensory modelling, are extended to classes of problemswhich lie at the interface between sensation and perception.

Adiversity of topics for which extensive empirical evidence exists arereformulated by writing their dynamics in terms of complextrajectories put into coupled lattices and into cascades of suchlattices. Fundamental relationships between core processes ofpsychophysics in time and space, and recurrent quantitative ortopological distortions of the physical world which arise inperception, are given a treatment which contrasts fundamentally withtraditional linear equations in use since the 19th century.