8 citations · 12 across the 3 of their papers we have counts for
3 papers
q-bio.QM2003
Noise-driven transition to quasi-deterministic limit cycle dynamics in excitable systems
Cyrill B. Muratov, Eric Vanden-Eijnden, Weinan E
The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable r…
cond-mat2002★ 8 cited
Probing Multi-Scale Energy Landscapes Using the String Method
Weinan E, Weiqing Ren, Eric Vanden-Eijnden
A novel and powerful method is presented for the study of rare switching events in complex systems with multiscale energy landscapes. The method performs an umbrella sampling of th…
cond-mat.mtrl-sci2002★ 4 cited
Optimal Paths for Spatially Extended Metastable Systems Driven by Noise
E. Weinan, Weiqing Ren, Eric Vanden-Eijnden
The least action principle is exploited as a simulation tool to find the optimal dynamic path for spatially extended systems driven by a small noise. Applications are presented for…