Intricate phase diagram of a prevalent visual circuit reveals universal dynamics, phase transitions, and resonances.
Neural feedback-triads consisting of two feedback loops with a nonreciprocal 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 algebraic combinations of its five synaptic weights. Exploration of network activity over the parameter space demonstrates the importance of the nonreciprocal 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 effective synaptic parameters.
Caudill
Matthew S
MS
Department of Physics, Washington University, Campus Box 1105, St. Louis, Missouri 63130-4899, USA. mcaudill@physics.wustl.edu
Brandt
Sebastian F
SF
Nussinov
Zohar
Z
Wessel
Ralf
R
D000818:Animals; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology*; D014793:Visual Cortex / Q000502:physiology*; D014795:Visual Pathways / Q000502:physiology*; D014796:Visual Perception / Q000502:physiology*