Published May 2, 2017
| Version v1
Publication
Stochastic lattice dynamical systems with fractional noise
Description
This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution.
Abstract
National Science Foundation
Abstract
Ministerio de Economía y Competitividad
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Fondo Europeo de Desarrollo Regional
Additional details
- URL
- https://idus.us.es/handle/11441/59056
- URN
- urn:oai:idus.us.es:11441/59056
- Origin repository
- USE