Stochastic stability of quasi-integrable and resonant Hamiltonian systems excited by fractional Gaussian noise

Qiangfeng Lü, Danyu Li and Maolin Deng

Chaos, Solitons & Fractals, 2026, vol. 208, issue P4

Abstract: Engineering structures are often subjected to random loads, where structural stability significantly impacts operational performance and even safety. This paper theoretically investigates the stochastic stability of multi-degree-of-freedom (MDOF) quasi-integrable and resonant Hamiltonian systems under fractional Gaussian noise (fGn) excitation. Due to the long-range dependence inherent in fGn, the system response exhibits non-Markovian behavior. Currently, there is no established effective theoretical method for analyzing the stability of stochastic systems under such excitation. To address this challenge, we propose a novel strategy: according to the broad power spectrum of fGn, we approximate it as wideband noise and subsequently apply the stochastic averaging method for quasi-integrable Hamiltonian systems under wideband noise excitation. This approach enables the stability analysis of MDOF integrable and resonant Hamiltonian systems driven by fGn. Numerical example demonstrates well agreement between the proposed analytical method and simulation results, validating the effectiveness of this methodology.

Keywords: Stochastic stability; Quasi-integrable and resonant Hamiltonian systems; Fractional Gaussian noise (fGn); Lyapunov exponent (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926005187
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:208:y:2026:i:p4:s0960077926005187

DOI: 10.1016/j.chaos.2026.118377

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().