A limit theorem for the solutions of slow-fast systems with fractional Brownian motion

A limit theorem which can simplify slow—fast dynamical systems driven by fractional Brownian motion with the Hurst parameter H inside the (1/2, 1) interval has been proved. The slow variables of the original system can be approximated by the solution of the simplified equations in the sense of mean...

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Bibliographic Details
Main Authors: Yong Xu, Rong Guo, Wei Xu
Format: Article
Language:English
Published: Elsevier 2014-01-01
Series:Theoretical and Applied Mechanics Letters
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2095034915302853