The noisy oscillator : the first hundred years, from Einstein until now

By M. Gitterman. 2005

159 citations recorded by the source corpus.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fdbb0e0caba81d6ce7afbed9e793df6aa0602617

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In Statistical and Nonlinear Physics

1. Tiffany N. Kolba
2. Avanti Athreya
3. Detlef Lohse
4. Jonathan C. Mattingly
5. G. Ahlers
6. Martin Hairer
7. Arnaud Debussche
8. Charles-Edouard Br'ehier

Citations in the corpus

• Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection (2008, background): “Such a distribution is characteristic of a damped oscillator driven by a broadband noise source (see, for instance, Gitterman (2005)).”
• Propagating Lyapunov functions to prove noise-induced stabilization (2011, background): “For instance, in the classic example of the inverted pendulum, the addition of noise opens up a small neighborhood of local stability around a deterministically unstable fixed point [AK83, Git05]; in the striking examples of [Sch93], the addition of noise leads to global stabilization.”