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Activity-dependent brain model explaining EEG spectra
Lucilla de Arcangelis, Hans J. Herrmann, Carla Perrone-Capano
Most brain models focus on associative memory or calculation capability, experimentally inaccessible using physiological methods. Here we present a model explaining a basic feature…
Magnetic models on Apollonian networks
Roberto F. S. Andrade, Hans J. Herrmann
Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of…
Indeterminacy, Memory, and Motion in a Simple Granular Packing
S. McNamara, R. Rojo-Garcia, H. J. Herrmann
We apply two theoretical and two numerical methods to the problem of a disk placed in a groove and subjected to gravity and a torque. Methods assuming rigid particles are indetermi…
Shearing behavior of polydisperse media
Martin Wackenhut, Sean McNamara, Hans Herrmann
We study the shearing of polydisperse and bidisperse media with a size ratio of 10. Simulations are performed with a the two dimensional shear cell using contact dynamics. With a t…
Coherence in scale-free networks of chaotic maps
Pedro G. Lind, Jason A. C. Gallas, Hans J. Herrmann
We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies ar…
Apollonian networks
Jose S. Andrade, Hans J. Herrmann, Roberto F. S. Andrade +1
We introduce a new family of networks, the Apollonian networks, that are simultaneously scale-free, small world, Euclidean, space-filling and matching graphs. These networks have a…