Quaternion Dynamics of the Brain.pdfVIP

QUATERNION DYNAMICS OF THE BRAIN E. A. Novikov Institute for Nonlinear Science, University of California - San Diego, La 3 Jolla, CA 92093 - 0402 0 0 A nonlinear dynamical modeling of interaction between automatic and con- 2 scious processes in the brain is described. Effects of sensations, emotions and c reflections on the electromagnetic activity of the brain are represented in terms e D of quaternion field. 1 In previous paper [1] an approach to nonlinear dynamical modeling of in- 3 teraction between automatic (A) and conscious (C) processes in the brain was ] presented. The idea is to use complex field with real and imaginary components S representing A- and C-processes. The interaction is due to the nonlinearity of P the system. This approach was illustrated on the nonlinear equation for the . n current density in the cortex. The nonlinearity is determined by the sigmoidal i firing rate of neurons. More general approaches were also indicated [1]. In this l n letter the quaternion (Q) approach is described. [ Subjective C-experiences can be divided into three major groups: sensations 2 (S), emotions (E) and reflections (R). Note, that subjective S should be distin- v guished from the automatic sensory input into the neuron system of the brain. 7 The effects of S, E and R on the electrochemical activity of the brain, generally, 4