Resonant wave interaction with random forcing and dissipation

Research output: Contribution to journalArticlepeer-review


A new model for studying energy transfer is introduced. It consists of a "resonant duo" - a resonant quartet where extra symmetries support a reduced subsystem with only two degrees of freedom - where one mode is forced by white noise and the other is damped. This system has a single free parameter: the quotient of the damping coefficient to the amplitude of the forcing times the square root of the strength of the nonlinearity. As this parameter varies, a transition takes place from a Gaussian, high-temperature, near equilibrium regime, to one highly intermittent and non-Gaussian. Both regimes can be understood in terms of appropriate Fokker-Planck equations.

Original languageEnglish (US)
Pages (from-to)123-144
Number of pages22
JournalStudies in Applied Mathematics
Issue number1
StatePublished - Jan 2002

ASJC Scopus subject areas

  • Applied Mathematics


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