The deterministic core of stochastically perturbed nonlinear mechanical systems
Metadata only
Date
2022-06Type
- Journal Article
ETH Bibliography
yes
Altmetrics
Abstract
Invariant manifolds, such as normally hyperbolic invariant manifolds and spectral submanifolds, are the key to understanding the dynamical behaviour of many nonlinear mechanical systems and serve as natural candidates for model-order reduction. While numerous related invariant manifold results are available for unforced and periodically forced nonlinear mechanical systems, their applicability to random external forcing remains to be established. Here, we clarify the continued role of deterministic invariant manifolds, more specifically normally hyperbolic invariant manifolds and spectral submanifolds under the addition of small white noise excitation. Subsequently, we demonstrate our results on several mechanical systems. Show more
Publication status
publishedExternal links
Journal / series
Proceedings of the Royal Society A: Mathematical, Physical and Engineering SciencesVolume
Pages / Article No.
Publisher
Royal SocietySubject
nonlinear normal modes; reduced order modelling; stochastic dynamical systems; spectral submanifolds; Gaussian white noise; diffusion barriersOrganisational unit
03973 - Haller, George / Haller, George
More
Show all metadata
ETH Bibliography
yes
Altmetrics