97 citations · 248 across the 11 of their papers we have counts for
11 papers
Equivalent Dynamics from Disparate Synaptic Weights in a Prevalent Visual Circuit
M. S. Caudill, S. F. Brandt, Z. Nussinov +1
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 t…
Noise-dependent stability of the synchronized state in a coupled system of active rotators
Sebastian F. Brandt, Axel Pelster, Ralf Wessel
We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotat…
Distributed delays stabilize neural feedback systems
Ulrike Meyer, Jing Shao, Saurish Chakrabarty +3
We consider the effect of distributed delays in neural feedback systems. The avian optic tectum is reciprocally connected with the nucleus isthmi. Extracellular stimulation combine…
Winner-take-all selection in a neural system with delayed feedback
Sebastian F. Brandt, Ralf Wessel
We consider the effects of temporal delay in a neural feedback system with excitation and inhibition. The topology of our model system reflects the anatomy of the avian isthmic cir…
Synchronization in a neuronal feedback loop through asymmetric temporal delays
Sebastian F. Brandt, Axel Pelster, Ralf Wessel
We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bi…
Variational calculation of the limit cycle and its frequency in a two-neuron model with delay
Sebastian F. Brandt, Axel Pelster, Ralf Wessel
We consider a model system of two coupled Hopfield neurons, which is described by delay differential equations taking into account the finite signal propagation and processing time…