Stationary energy probability density of oscillators driven by a random external force

Vicenç Méndez, Daniel Campos, Werner Horsthemke

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

We derive rigorous analytical results for the stationary energy probability density function of linear and nonlinear oscillators driven by additive Gaussian noise. Our study focuses on two cases: (i) a harmonic oscillator subjected to Gaussian colored noise with an arbitrary correlation function and (ii) nonlinear oscillators with a general potential driven by Gaussian white noise. We also derive analytical expressions for the stationary moments of the energy and investigate the partition of the mean energy between kinetic and potential energy. To illustrate our general results, we consider specifically the case of exponentially correlated noise for (i) and power-law and bistable potentials for (ii). Our theoretical results are substantiated by Langevin simulations. © 2013 American Physical Society.
Original languageEnglish
Article number062132
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
DOIs
Publication statusPublished - 24 Jun 2013

Fingerprint Dive into the research topics of 'Stationary energy probability density of oscillators driven by a random external force'. Together they form a unique fingerprint.

Cite this