2009/03/16 by Matthew S. Caudill, M. S. Caudill, Caudill, M. S. +8
Biochemistry, Genetics and Molecular Biology · Neuroscience · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #EEG and Brain-Computer Interfaces #FOS: Biological sciences #FOS: Physical sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #cond-mat.dis-nn #q-bio.NC
paper · pdf · doi:10.48550/arxiv.0903.2569
5 pages, 4 figures
openalex publication_date 2009/03/16 · arxiv created 2009/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Neural feedback-triads consisting of two feedback loops with a non-reciprocal lateral connection from one loop to the other are ubiquitous in the brain. We show analytically that the dynamics of this network topology are determined by two algebraic combinations of its five synaptic weights. Thus different weight settings can generate equivalent network dynamics. Exploration of network activity over the two-dimensional parameter space demonstrates the importance of the non-reciprocal lateral connection and reveals intricate behavior involving continuous transitions between qualitatively different activity states. In addition, we show that the response to periodic inputs is narrowly tuned around a center frequency determined by the two effective synaptic parameters.