Moment lyapunov exponent and stochastic stability of two coupled oscillators driven by real noise

N Sri Namachchivaya, H. J. Van Roessel

Research output: Contribution to journalArticlepeer-review

Abstract

In et recent paper an asymptotic approximation for the moment Lyapimov exponent, g(p), oftwv coupled oscillators driven by a small intensity real noise was obtained. The utility of that result is limited by the fact that it was obtained under the assumption that the moment p is small, a limitation which precludes, for example, the determination of the stability index. In this paper that limitation is removed and an asymptotic approximation valid for arbitrary p is obtained. The results are applied to study the moment stability of the xtationarv solutions of structural and mechanical svstems subjected to stochastic excitation.

Original languageEnglish (US)
Pages (from-to)903-914
Number of pages12
JournalJournal of Applied Mechanics, Transactions ASME
Volume68
Issue number6
DOIs
StatePublished - Dec 1 2001

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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