Random perturbations of nonlinear oscillators: Homogenization and large deviations

Nishanth Lingala, N. Sri Namachchivaya, Peter W. Sauer, Hoong Chieh Yeong

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers two prototypical strongly nonlinear oscillators with weak dissipation and noise: a pendulum which is acted on by a small noisy torque and opposed by a friction; and the noisy Duffing-van der Pol oscillator. But over a long time the weak dissipative and noise effects can be significant. This paper develops asymptotic techniques based on averaging and large deviations to study the effects of weak noise on the escape from the domain of attraction of stable equilibrium points and limit cycles in phase-space.

Original languageEnglish (US)
Pages (from-to)235-250
Number of pages16
JournalInternational Journal of Non-Linear Mechanics
Volume94
DOIs
StatePublished - Sep 2017

Keywords

  • Duffing-van der Pol oscillator
  • Energy harvester
  • Homogenization
  • Large deviations
  • SMIB power system

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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