A nonlinear dynamics model of binocular rivalry and cognitive multistability

A nonlinear dynamics model of cognitive multistability is described based on the formal framework of Synergetics. The perception state is treated as a macroscopic order parameter ν(t) which is formalized as the phase variable of a recursive cosinuidal map. The time behavior of the spontaneous transitions between different percepts is controlled by two parameters μ=difference of meaning and G(t)=attention. The cosinuidal map can be represented by an interferometric equivalent circuit with nonlinear feedback (gain ∼G, fringe contrast μ, delay T, damping time constant τ). The time variation of G is assumed to be slow as compared to T. For τ/T<<1 the coupled dynamics of the perception state ν(t) and the attention parameter G(t) leads to quasiperiodic transitions between chaotic attractors. The model can be related to the belief adjustment model of Hogarth&Einhorn which supports the view of perceptual reversals to be more closely related to the expression of behavior than to passive sensory responses.