Stochastic Perturbations to Dynamical Systems: A Response Theory Approach
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[1] Wenlei Wang,et al. Nonlinearity , 2014, Encyclopedia of Social Network Analysis and Mining.
[2] Michael Ghil,et al. Stochastic climate dynamics: Random attractors and time-dependent invariant measures , 2011 .
[3] Valerio Lucarini,et al. A statistical mechanical approach for the computation of the climatic response to general forcings , 2010, 1008.0340.
[4] Juan M López,et al. Logarithmic bred vectors in spatiotemporal chaos: structure and growth. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[5] Martin Hairer,et al. A simple framework to justify linear response theory , 2009, Nonlinearity.
[6] M. Grundmann. Kramers–Kronig Relations , 2010 .
[7] Andrew J. Majda,et al. Linear response theory for statistical ensembles in complex systems with time-periodic forcing , 2010 .
[8] Andrew J Majda,et al. High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability , 2009, Proceedings of the National Academy of Sciences.
[9] Yuexin Liu,et al. Broadband CARS spectral phase retrieval using a time-domain Kramers-Kronig transform. , 2009, Optics letters.
[10] Andrew J. Majda,et al. A New Algorithm for Low-Frequency Climate Response , 2009 .
[11] D. Ruelle. A review of linear response theory for general differentiable dynamical systems , 2009, 0901.0484.
[12] Valerio Lucarini,et al. Evidence of Dispersion Relations for the Nonlinear Response of the Lorenz 63 System , 2008, 0809.0101.
[13] A. Vulpiani,et al. Fluctuation-dissipation: Response theory in statistical physics , 2008, 0803.0719.
[14] Valerio Lucarini,et al. Response Theory for Equilibrium and Non-Equilibrium Statistical Mechanics: Causality and Generalized Kramers-Kronig Relations , 2007, 0710.0958.
[15] Andrew J. Majda,et al. Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems , 2007 .
[16] Angelo Vulpiani,et al. Fluctuation-Response Relation and modeling in systems with fast and slow dynamics , 2007, 0711.1064.
[17] B. Hunt,et al. A comparative study of 4D-VAR and a 4D Ensemble Kalman Filter: perfect model simulations with Lorenz-96 , 2007 .
[18] E. Lorenz. Predictability of Weather and Climate: Predictability – a problem partly solved , 2006 .
[19] V. Lucarini. Kramers-Kronig relations in optical materials research , 2005 .
[20] Edward N. Lorenz,et al. Designing Chaotic Models , 2005 .
[21] Anna Trevisan,et al. Assimilation of Standard and Targeted Observations within the Unstable Subspace of the Observation–Analysis–Forecast Cycle System , 2004 .
[22] D. Orrell,et al. Model Error and Predictability over Different Timescales in the Lorenz '96 Systems , 2003 .
[23] Lai-Sang Young,et al. What Are SRB Measures, and Which Dynamical Systems Have Them? , 2002 .
[24] T. Asakura,et al. Dispersion, Complex Analysis and Optical Spectroscopy , 1999 .
[25] 朝倉 利光,et al. Dispersion, Complex Analysis and Optical Spectroscopy: Classical Theory , 1998 .
[26] David Ruelle,et al. General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium☆ , 1998 .
[27] David Ruelle,et al. Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms , 1998 .
[28] J. Lindenstrauss,et al. Classical Banach spaces. I, sequence spaces : reprint of the 1977 edition ; Classical Banach spaces. II, function spaces : reprint of the 1979 edition , 1996 .
[29] E. Cohen,et al. Dynamical ensembles in stationary states , 1995, chao-dyn/9501015.
[30] Donald B. Percival,et al. Spectral Analysis for Physical Applications , 1993 .
[31] H. Herzel. Chaotic Evolution and Strange Attractors , 1991 .
[32] D. Ruelle,et al. Ergodic theory of chaos and strange attractors , 1985 .
[33] K. Hasselmann. Stochastic climate models Part I. Theory , 1976 .
[34] Joram Lindenstrauss,et al. Classical Banach spaces , 1973 .
[35] W. Rudin. Real and complex analysis , 1968 .