Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 8, Iss. 1, Jan, 2004, pp. 41-64 @2004 Society for Chaos Theory in Psychology & Life Sciences Transitions Between Two Pictorial Attractors Abstract: Two experiments exploring similarity judgments on pairs
and triplets of stimuli drawn from pictorial series are described.
The stimuli are the Man-Woman and Gypsy-Girl pictures that slowly
change from one prototype to the other as one progresses along the
series. These have been used previously to demonstrate hysteresis
of category judgments on ambiguous figures; the Man Woman series
has been both modelled as a problem in neural network theory
and mapped onto part of a cusp catastrophe surface. It. is shown
that the transition process is complica-ted with a zone of uncertainty
and prevalence of bimodality in many of the pairwise similarity judgments.
The dynamics are interpreted in terms of transitions
between two saddle-node attractors that are themselves not a discrete
pair but have some overlap in their composition. Keywords: similarity, boundaries, intransitivities, attractors |