69 citations · 304 across the 20 of their papers we have counts for
9 papers · 1 filter
Discontinuous transitions in globally coupled potential systems with additive noise
Rüdiger Kürsten, Ulrich Behn
An infinite array of globally coupled overdamped constituents moving in a double-well potential with -th order saturation term under the influence of additive Gaussian white noi…
Patchwork Sampling of Stochastic Differential Equations
Rüdiger Kürsten, Ulrich Behn
We propose a method to sample stationary properties of solutions of stochastic differential equations, which is accurate and efficient if there are rarely visited regions or rare t…
Critical manifold of globally coupled overdamped anharmonic oscillators driven by additive Gaussian white noise
Rüdiger Kürsten, Susanne Gütter, Ulrich Behn
We prove for an infinite array of globally coupled overdamped anharmonic oscillators subject to additive Gaussian white noise the existence of a well-behaved critical manifold in t…
First-passage and first-exit times of a Bessel-like stochastic process
Edgar Martin, Ulrich Behn, Guido Germano
We study a stochastic process related to the Bessel and the Rayleigh processes, with various applications in physics, chemistry, biology, economics, finance and other fields.…
Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit
Fabian Senf, Philipp M. Altrock, Ulrich Behn
A finite array of globally coupled Stratonovich models exhibits a continuous nonequilibrium phase transition. In the limit of strong coupling there is a clear separation of tim…
Generation of spatiotemporal correlated noise in 1+1 dimensions
Arne Traulsen, Karen Lippert, Ulrich Behn
We propose a generalization of the Ornstein-Uhlenbeck process in 1+1 dimensions which is the product of a temporal Ornstein-Uhlenbeck process with a spatial one and has exponential…
Patterns in randomly evolving networks: Idiotypic networks
M. Brede, U. Behn
We present a model for the evolution of networks of occupied sites on undirected regular graphs. At every iteration step in a parallel update I randomly chosen empty sites are occu…
Fundamental scaling laws of on-off intermittency in a stochastically driven dissipative pattern forming system
Th. John, U. Behn, R. Stannarius
Noise driven electroconvection in sandwich cells of nematic liquid crystals exhibits on-off intermittent behaviour at the onset of the instability. We study laser scattering of con…
Critical Behaviour of Non-Equilibrium Phase Transitions to Magnetically Ordered States
Thomas Birner, Karen Lippert, Reinhard Müller +2
We describe non-equilibrium phase transitions in arrays of dynamical systems with cubic nonlinearity driven by multiplicative Gaussian white noise. Depending on the sign of the spa…