TY - JOUR
T1 - Resonant wave interaction with random forcing and dissipation
AU - Milewski, Paul A.
AU - Tabak, Esteban G.
AU - Vanden-Eijnden, Eric
N1 - Funding Information:
Study participants who contributed their time and information; Olivia Almendares, Sarah E. Smith-Jeffcoat, Emeka Oraka, CDC; Charles Powell, Avery Gartman, Connecticut Department of Public Health; Ashley Becht, Hallie Hutchison, Eugene Olshansky, Rachel Berg, Adrianna Koczwara, Lisa Addis, Michael Deneufbourg, Sarah Love, Isaac Ghinai, Peter Ruestow, Shamika Smith, Daniel Liguori, Frances Lendacki, Janna Kerins, Stephanie Black, Chicago Department of Public Health; Stefan Green, Hannah Barbian, Sofiya Bobrovska, Regional Innovative Public Health Laboratory, Chicago Department of Public Health and Rush University; Barbara Cuene, Stephen Fendt, Jennifer Lares, Carri Marlow, Nandhu Balakrishnan, Katherine Akinyemi, Addie Skillman, Milwaukee Health Department; Leisha Nolen, Alexis Molina, Shai Miguel, Alix Elliston, April Jorgensen, Austin Newbold, Garnet Kwader, Sam Andersen, Utah Department of Health.
PY - 2002/1
Y1 - 2002/1
N2 - 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.
AB - 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.
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U2 - 10.1111/1467-9590.01427
DO - 10.1111/1467-9590.01427
M3 - Article
AN - SCOPUS:0036424937
SN - 0022-2526
VL - 108
SP - 123
EP - 144
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 1
ER -