Abstract
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 language | English |
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Pages (from-to) | 123-144 |
Number of pages | 22 |
Journal | Studies in Applied Mathematics |
Volume | 108 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2002 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics