53 citations · 155 across the 7 of their papers we have counts for
7 papers
Tristable and multiple bistable activity in complex random binary networks of two-state units
Simon Christ, Bernard Sonnenschein, Lutz Schimansky-Geier
We study complex networks of stochastic two-state units. Our aim is to model discrete stochastic excitable dynamics with a rest and an excited state. Both states are assumed to pos…
Traveling phase waves in asymmetric networks of noisy chaotic attractors
Thomas K. DM. Peron, Jürgen Kurths, Francisco A. Rodrigues +2
We explore identical Rössler systems organized into two equally-sized groups, among which differing positive and negative in- and out-coupling strengths are allowed. Patterns of di…
Collective dynamics in two populations of noisy oscillators with asymmetric interactions
Bernard Sonnenschein, Thomas K. DM. Peron, Francisco A. Rodrigues +2
We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that have the same natural frequency, but differ in their perception of the mean field and th…
Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
Bernard Sonnenschein, Thomas K. DM. Peron, Francisco A. Rodrigues +2
We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are dr…
Approximate solution to the stochastic Kuramoto model
Bernard Sonnenschein, Lutz Schimansky-Geier
We study Kuramoto phase oscillators with temporal fluctuations in the frequencies. The infinite-dimensional system can be reduced in a Gaussian approximation to two first-order dif…
Networks of noisy oscillators with correlated degree and frequency dispersion
Bernard Sonnenschein, Francesc Sagués, Lutz Schimansky-Geier
We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the s…
Onset of Synchronization in Complex Networks of Noisy Oscillators
Bernard Sonnenschein, Lutz Schimansky-Geier
We study networks of noisy phase oscillators whose nodes are characterized by a random degree counting the number of its connections. Both these degrees and the natural frequencies…