2003/09/15 by E. A. Novikov, Е. А. Новиков, Novikov, E. A.
Biochemistry, Genetics and Molecular Biology · Computer Science · Neuroscience · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Biological sciences #FOS: Physical sciences #Neural Networks and Applications #Neural Networks and Reservoir Computing #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Pattern Formation and Solitons (nlin.PS) #cond-mat.dis-nn #nlin.PS #q-bio.NC
paper · pdf · doi:10.48550/arxiv.nlin/0309043
arxiv created 2003/09/15 · openalex publication_date 2003/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An approach to nonlinear dynamical modeling of interaction between conscious and automatic processes in the brain is proposed. Illustration of this approach on the nonlinear equation for the current density in the cortex is presented. Nonlinearity is determined by the sigmoidal firing rate of neurons. The current density is considered as complex field with real and imaginary parts representing automatic and conscious processes. The interaction is due to the nonlinearity of the system. From this approach it follows that the nonlinear dynamics for pure imaginary process (a dream) is quite different from the dynamics of automatic process.