Kantorovich-Rubinstein distance and approximation for non-local Fokker-Planck equations.
Chaos
; 31(11): 111104, 2021 Nov.
Article
in En
| MEDLINE
| ID: mdl-34881587
ABSTRACT
This work is devoted to studying complex dynamical systems under non-Gaussian fluctuations. We first estimate the Kantorovich-Rubinstein distance for solutions of non-local Fokker-Planck equations associated with stochastic differential equations with non-Gaussian Lévy noise. This is then applied to establish weak convergence of the corresponding probability distributions. Furthermore, this leads to smooth approximation for non-local Fokker-Planck equations, as illustrated in an example.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Chaos
Journal subject:
CIENCIA
Year:
2021
Document type:
Article
Affiliation country:
China