26 citations · 69 across the 5 of their papers we have counts for
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Predicting properties of the stationary probability currents for two-species reaction systems without solving the Fokker-Planck equation
Marc Mendler, Barbara Drossel
We derive methods for estimating the topology of the stationary probability current of the two-species Fokker-Planck equation (FPE) without the need to solve the FPE. T…
Relation between the convective field and the stationary probability distribution of chemical reaction networks
Lara Becker, Marc Mendler, Barbara Drossel
We investigate the relation between the stationary probability distribution of chemical reaction systems and the convective field derived from the chemical Fokker-Planck equation (…
Analysis of stochastic bifurcations with phase portraits
Marc Mendler, Johannes Falk, Barbara Drossel
We propose a method to obtain phase portraits for stochastic systems. Starting from the Fokker-Planck equation, we separate the dynamics into a convective and a diffusive part. We…
A Minimal Model of Burst-Noise Induced Bistability
Johannes Falk, Marc Mendler, Barbara Drossel
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between mon…