3 papers
cs.CE2020
Extracting Non-Gaussian Governing Laws from Data on Mean Exit Time
Yanxia Zhang, Jinqiao Duan, Yanfei Jin +1
Motivated by the existing difficulties in establishing mathematical models and in observing the system state time series for some complex systems, especially for those driven by no…
math.DS2020
Stochastic dynamics of the triple-well potential systems driven by colored noise
Yanxia Zhang, Yanfei Jin
A stochastic averaging technique based on energy-dependent frequency is extended to dynamical systems with triple-well potential driven by colored noise. The key procedure is the d…
math.ST2020
Most Probable Dynamics of Stochastic Dynamical Systems with Exponentially Light Jump Fluctuations
Yang Li, Jinqiao Duan, Xianbin Liu +1
The emergence of the exit events from a bounded domain containing a stable fixed point induced by non-Gaussian Lévy fluctuations plays a pivotal role in practical physical systems.…