A test model for fluctuation-dissipation theorems with time-periodic statistics
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Publication:1957115
DOI10.1016/j.physd.2010.05.009zbMath1200.37078OpenAlexW2158895207MaRDI QIDQ1957115
Boris Gershgorin, Andrew J. Majda
Publication date: 24 September 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2010.05.009
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Meteorology and atmospheric physics (86A10)
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Cites Work
- Unnamed Item
- Linear response, susceptibility and resonances in chaotic toy models
- New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems
- A nonlinear test model for filtering slow-fast systems
- Short-time linear response with reduced-rank tangent map
- Filtering a nonlinear slow-fast system with strong fast forcing
- Linear response theory for statistical ensembles in complex systems with time-periodic forcing
- The Fokker-Planck equation. Methods of solution and applications.
- Fluctuation-dissipation theorem on attractors of atmospheric models
- High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability
- A simple framework to justify linear response theory
- Fluctuation-response relations in systems with chaotic behavior
- Construction of the linear response operator of an atmospheric general circulation model to small external forcing
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
- An applied mathematics perspective on stochastic modelling for climate
- Information Theory and Stochastics for Multiscale Nonlinear Systems
- Handbook of stochastic methods for physics, chemistry and natural sciences.
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