IMPACTS OF NOISE ON ORDINARY DIFFERENTIAL EQUATIONS

TitleIMPACTS OF NOISE ON ORDINARY DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2018
AuthorsLV GUANGYING, DUAN JINQIAO, WANG LIANG, WU JIANG-LUN
JournalDynamic Systems and Applications
Volume27
Issue2
Start Page225
Pagination12
Date Published03/2018
ISSN1056-2176
AMS Subject Classification35K20, 60H15, 60H40
Abstract

In this paper, we consider the impacts of noise on ordinary differential equations. We first prove that the weak noise can change the value of equilibrium and the strong noise can destroy the stability of equilibrium. Then we consider the competition between the nonlinear term and noise term, which shows that noise can induce singularities (finite time blow up of solutions) and that the nonlinear term can prevent the singularities. Besides that, some simulations are given in order to illustrate our results.
PDFhttps://acadsol.eu/dsa/articles/27/2/2.pdf
DOI10.12732/dsa.v27i2.2
Refereed DesignationRefereed