260 citations · 2.8k across the 136 of their papers we have counts for
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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…
Self-Organized Formation of Retinotopic Projections Between Manifolds of Different Geometries -- Part 3: Spherical Geometries
M. Guessmann, G. Wunner, A. Pelster
We follow our general model in Ref. [3] and analyze the formation of retinotopic projections for the biologically relevant situation of spherical geometries. To this end we elabora…
Solutions of the Haeussler-von der Malsburg Equations in Manifolds with Constant Curvatures
Martin Guessmann, Axel Pelster, Guenter Wunner
We apply generic order parameter equations for the emergence of retinotopy between manifolds of different geometry to one- and two-dimensional Euclidean and spherical manifolds. To…
Synergetic Analysis of the Haeussler-von der Malsburg Equations for Manifolds of Arbitrary Geometry
Martin Guessmann, Axel Pelster, Guenter Wunner
We generalize a model of Haeussler and von der Malsburg which describes the self-organized generation of retinotopic projections between two one-dimensional discrete cell arrays on…
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…