Dynamical landscape and multistability of a climate model
暂无分享,去创建一个
[1] K. Fraedrich,et al. The Earth's entropy production budget as simulated by a climate system model of intermediate complexity , 2003 .
[2] Michel Crucifix,et al. Thermohaline circulation hysteresis: A model intercomparison , 2005 .
[3] P. Landa. Mechanism of stochastic resonance , 2004 .
[4] Edward N. Lorenz,et al. Irregularity: a fundamental property of the atmosphere* , 1984 .
[5] Sui Huang. The molecular and mathematical basis of Waddington's epigenetic landscape: A framework for post‐Darwinian biology? , 2012, BioEssays : news and reviews in molecular, cellular and developmental biology.
[6] I. Held,et al. Entropy budget of an atmosphere in radiative-convective equilibrium , 2000 .
[7] Tiejun Li,et al. Construction of the landscape for multi-stable systems: Potential landscape, quasi-potential, A-type integral and beyond. , 2016, The Journal of chemical physics.
[8] M. Scheffer,et al. Trajectories of the Earth System in the Anthropocene , 2018, Proceedings of the National Academy of Sciences.
[9] D. Abbot,et al. The Jormungand global climate state and implications for Neoproterozoic glaciations , 2011 .
[10] S. Orszag. Transform method for the calculation of vector-coupled sums: Application to the spectral form of the vorticity equation , 1970 .
[11] Valerio Lucarini,et al. ENERGETICS OF CLIMATE MODELS: NET ENERGY BALANCE AND MERIDIONAL ENTHALPY TRANSPORT , 2009, 0911.5689.
[12] Kang-Kang Wang,et al. Stochastic resonance and stability for an ecological vegetation growth system driven by colored noises and multiplicative signal , 2016 .
[13] P. Grassberger,et al. Measuring the Strangeness of Strange Attractors , 1983 .
[14] P. Gaspard. Time-Reversed Dynamical Entropy and Irreversibility in Markovian Random Processes , 2004 .
[15] 多賀 厳太郎,et al. Dynamical Systems Approach , 2001 .
[16] Tiejun Li,et al. Realization of Waddington ’ s Metaphor : Potential Landscape , Quasi-potential , A-type Integral and Beyond , 2015 .
[17] Michael Ghil,et al. Climate stability for a Sellers-type model , 1976 .
[18] Freddy Bouchet,et al. Langevin Dynamics, Large Deviations and Instantons for the Quasi-Geostrophic Model and Two-Dimensional Euler Equations , 2014, 1403.0216.
[19] Marten Scheffer,et al. Microscale vegetation‐soil feedback boosts hysteresis in a regional vegetation–climate system , 2008 .
[20] J. Yorke,et al. The liapunov dimension of strange attractors , 1983 .
[21] Victor Brovkin,et al. CLIMBER-2: a climate system model of intermediate complexity. Part I: model description and performance for present climate , 2000 .
[22] D. Mei,et al. Stochastic resonance in a groundwater-dependent plant ecosystem with fluctuations and time delay , 2014 .
[23] V. Lucarini,et al. Global stability properties of the climate: Melancholia states, invariant measures, and phase transitions , 2019, Nonlinearity.
[24] Valerio Lucarini,et al. Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations , 2012 .
[25] Eric Vanden-Eijnden,et al. Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools , 2016, 1604.03818.
[26] A. Weaver,et al. Snowball versus slushball Earth: Dynamic versus nondynamic sea ice? , 2007 .
[27] F. Chapin,et al. Methane bubbling from Siberian thaw lakes as a positive feedback to climate warming , 2006, Nature.
[28] Hermann Held,et al. Basic mechanism for abrupt monsoon transitions , 2009, Proceedings of the National Academy of Sciences.
[29] Steven K. Baum,et al. Neoproterozoic ‘snowball Earth’ simulations with a coupled climate/ice-sheet model , 2000, Nature.
[30] Valerio Lucarini,et al. Thermodynamic efficiency and entropy production in the climate system. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[31] F. Joos,et al. A Coupled Dynamical Ocean–Energy Balance Atmosphere Model for Paleoclimate Studies , 2011 .
[32] M. Budyko. The Effects of Changing the Solar Constant on the Climate of a General Circulation Model , 2008 .
[33] P. Cessi. The Global Overturning Circulation. , 2019, Annual review of marine science.
[34] M. Cullen,et al. Numerical Prediction and Dynamic Meteorology, 2nd Edn. By G. J. HALTINER and R. T. WILLIAMS. Wiley, 1980. 477 pp. £26.90. , 1984, Journal of Fluid Mechanics.
[35] Stefan Rahmstorf,et al. On the driving processes of the Atlantic meridional overturning circulation , 2007 .
[36] Richard Goody,et al. Sources and sinks of climate entropy , 2000 .
[37] Denis R. Bell. Stochastic Differential Equations and Hypoelliptic Operators , 2004 .
[38] Gregoire Nicolis,et al. Stochastic resonance , 2007, Scholarpedia.
[39] Valerio Lucarini,et al. Extremes and Recurrence in Dynamical Systems , 2016, 1605.07006.
[40] Dai. Edge states in the climate system : exploring global instabilities and critical transitions , 2017 .
[41] M. Rosenblatt,et al. Multivariate k-nearest neighbor density estimates , 1979 .
[42] Erik Aurell,et al. Quasi-potential landscape in complex multi-stable systems , 2012, Journal of The Royal Society Interface.
[43] Jürgen Kurths,et al. A deforestation-induced tipping point for the South American monsoon system , 2017, Scientific Reports.
[44] A. Semtner. A MODEL FOR THE THERMODYNAMIC GROWTH OF SEA ICE IN NUMERICAL INVESTIGATIONS OF CLIMATE , 1975 .
[45] George Veronis,et al. An Analysis of Wind-Driven Ocean Circulation with a Limited Number of Fourier Components , 1963 .
[46] P Ao,et al. LETTER TO THE EDITOR: Potential in stochastic differential equations: novel construction , 2004 .
[47] Peter Imkeller,et al. First exit times of SDEs driven by stable Lévy processes , 2006 .
[48] J. Marotzke,et al. The transition from the present-day climate to a modern Snowball Earth , 2010 .
[49] Ying-Cheng Lai,et al. Transient Chaos: Complex Dynamics on Finite Time Scales , 2011 .
[50] B. Eckhardt,et al. Basin boundary, edge of chaos and edge state in a two-dimensional model , 2008, 0808.2636.
[51] Edward N. Lorenz,et al. The nature and theory of the general circulation of the atmosphere , 1967 .
[52] R. Zia,et al. Nonequilibrium Oscillations, Probability Angular Momentum, and the Climate System , 2019, Journal of Statistical Physics.
[53] William D. Sellers,et al. A Global Climatic Model Based on the Energy Balance of the Earth-Atmosphere System. , 1969 .
[54] Valerio Lucarini,et al. Modeling complexity: the case of climate science , 2011, 1106.1265.
[55] V. Lucarini,et al. Climate of Earth-like planets with high obliquity and eccentric orbits: Implications for habitability conditions , 2014, 1401.5323.
[56] A. Harem. Noise-induced attractor explosions near tangent bifurcations , 2002 .
[57] Philip B. Holden,et al. PLASIM–GENIE v1.0: a new intermediate complexity AOGCM , 2015 .
[58] Valerio Lucarini,et al. Crisis of the chaotic attractor of a climate model: a transfer operator approach , 2015, 1507.02228.
[59] J. Peixoto,et al. Physics of climate , 1984 .
[60] Catherine Nicolis,et al. Stochastic aspects of climatic transitions - Response to a periodic forcing , 2018 .
[61] P. Hänggi. Escape from a Metastable State , 1986 .
[62] Isaac M. Held,et al. The Gap between Simulation and Understanding in Climate Modeling , 2005 .
[63] Valerio Lucarini. A New Mathematical Framework for Atmospheric Blocking Events , 2021 .
[64] Michael Ghil,et al. A mathematical theory of climate sensitivity or, How to deal with both anthropogenic forcing and natural variability? , 2015 .
[65] Frank Lunkeit,et al. Portable University Model of the Atmosphere , 2001 .
[66] F. Lunkeit,et al. Global instability in the Ghil–Sellers model , 2014, Climate Dynamics.
[67] Stefan Rahmstorf,et al. Abrupt glacial climate changes due to stochastic resonance. , 2002, Physical review letters.
[68] M. Freidlin,et al. Random Perturbations of Dynamical Systems , 1984 .
[69] B. Saltzman. Dynamical Paleoclimatology: Generalized Theory Of Global Climate Change , 2002 .
[70] P. Ao. Global view of bionetwork dynamics: adaptive landscape. , 2009, Journal of genetics and genomics = Yi chuan xue bao.
[71] S. Sharma,et al. The Fokker-Planck Equation , 2010 .
[72] Valerio Lucarini,et al. Transitions across Melancholia States in a Climate Model: Reconciling the Deterministic and Stochastic Points of View. , 2018, Physical review letters.
[73] Pierre Gaspard,et al. Trace Formula for Noisy Flows , 2002 .
[74] F. Bouchet,et al. Perturbative Calculation of Quasi-Potential in Non-equilibrium Diffusions: A Mean-Field Example , 2015, 1509.03273.
[75] J. Charney,et al. Multiple Flow Equilibria in the Atmosphere and Blocking , 1979 .
[76] R. Grauer,et al. The instanton method and its numerical implementation in fluid mechanics , 2015, 1506.08745.
[77] Alex Rodriguez,et al. Automatic topography of high-dimensional data sets by non-parametric Density Peak clustering , 2018, Inf. Sci..
[78] Giang T. Tran,et al. PALEO-PGEM v1.0: a statistical emulator of Pliocene–Pleistocene climate , 2019, Geoscientific Model Development.
[79] Peter Grassberger,et al. Noise-induced escape from attractors , 1989 .
[80] Franco Molteni,et al. Toward a dynamical understanding of planetary-scale flow regimes. , 1993 .
[81] Valerio Lucarini,et al. Thermodynamic Analysis of Snowball Earth Hysteresis Experiment: Efficiency, Entropy Production, and Irreversibility , 2009 .
[82] B. Dubrulle,et al. Influence of Reynolds number and forcing type in a turbulent von Kármán flow , 2014, 1405.0813.
[83] F. Chapin,et al. A safe operating space for humanity , 2009, Nature.
[84] Catherine Nicolis,et al. Stochastic aspects of climatic transitions—response to a periodic forcing , 1982 .
[85] Eric Vanden-Eijnden,et al. Numerical computation of rare events via large deviation theory. , 2018, Chaos.
[86] P. Imkeller,et al. The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise , 2013 .
[87] J. Donges,et al. Emergence of cascading dynamics in interacting tipping elements of ecology and climate , 2019, Royal Society Open Science.
[88] Alessandro Laio,et al. Computing the Free Energy without Collective Variables. , 2018, Journal of chemical theory and computation.
[89] Michael Ghil,et al. “Waves” vs. “particles” in the atmosphere's phase space: A pathway to long-range forecasting? , 2002, Proceedings of the National Academy of Sciences of the United States of America.
[90] R. Graham. Macroscopic potentials, bifurcations and noise in dissipative systems , 1987 .
[91] S. Rahmstorf,et al. The earth system model of intermediate complexity CLIMBER-3α. Part I: description and performance for present-day conditions , 2005 .
[92] M. Ghil,et al. The physics of climate variability and climate change , 2019, 1910.00583.
[93] H. Kramers. Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .
[94] H. Stommel,et al. Thermohaline Convection with Two Stable Regimes of Flow , 1961 .
[95] J. Yorke,et al. Fractal Basin Boundaries, Long-Lived Chaotic Transients, And Unstable-Unstable Pair Bifurcation , 1983 .
[96] P. Ao,et al. SDE decomposition and A-type stochastic interpretation in nonequilibrium processes , 2017 .
[97] C. Waddington,et al. The strategy of the genes , 1957 .
[98] Valerio Lucarini,et al. Predicting Climate Change Using Response Theory: Global Averages and Spatial Patterns , 2015, Journal of Statistical Physics.
[99] F. Lunkeit,et al. The Impact of Oceanic Heat Transport on the Atmospheric Circulation: a Thermodynamic Perspective , 2014, 1410.2562.
[100] V. Lucarini,et al. Global stability properties of the climate: Melancholia states, invariant measures, and phase transitions , 2019 .
[101] Raymond T. Pierrehumbert,et al. Climate of the Neoproterozoic , 2011 .
[102] William F. Spotz,et al. Climate modeling , 2002, Computing in Science & Engineering.
[103] Tao Yang,et al. Impact of time delays on stochastic resonance in an ecological system describing vegetation , 2014 .
[104] R. Alley,et al. Stochastic resonance in the North Atlantic , 2001 .
[105] Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator. , 2020, Chaos.
[106] Valerio Lucarini,et al. Mathematical and physical ideas for climate science , 2013, 1311.1190.
[107] P. Ditlevsen,et al. Observation of α‐stable noise induced millennial climate changes from an ice‐core record , 1999 .
[108] Marika M. Holland,et al. The UVic earth system climate model: Model description, climatology, and applications to past, present and future climates , 2001, Data, Models and Analysis.
[109] Veronika Eyring,et al. Overview of the Coupled Model Intercomparison Project Phase 6 (CMIP6) experimental design and organization , 2015 .
[110] Valerio Lucarini,et al. Entropy production and coarse graining of the climate fields in a general circulation model , 2013, Climate Dynamics.
[111] Joaquín Tintoré,et al. Stochastic resonance in the thermohaline circulation , 2001 .
[112] Alessandro Laio,et al. Estimating the intrinsic dimension of datasets by a minimal neighborhood information , 2017, Scientific Reports.
[113] Valerio Lucarini,et al. A new framework for climate sensitivity and prediction: a modelling perspective , 2014, Climate Dynamics.
[114] Sean Hughes,et al. Clustering by Fast Search and Find of Density Peaks , 2016 .
[115] V. Lucarini,et al. A new mathematical framework for atmospheric blocking events , 2019, Climate Dynamics.
[116] V. Lucarini,et al. Edge states in the climate system: exploring global instabilities and critical transitions , 2016, 1605.03855.
[117] Davide Faranda,et al. Dynamical proxies of North Atlantic predictability and extremes , 2017, Scientific Reports.
[118] Wolfgang Lucht,et al. Tipping elements in the Earth's climate system , 2008, Proceedings of the National Academy of Sciences.
[119] P. Ditlevsen. Extension of stochastic resonance in the dynamics of ice ages , 2010 .
[120] Heiko Jansen,et al. The Planet Simulator: Towards a user friendly model , 2005 .
[121] Richard L. Kautz,et al. Activation energy for thermally induced escape from a basin of attraction , 1987 .
[122] Valerio Lucarini,et al. Thermodynamics of climate change: generalized sensitivities , 2010 .
[123] Graham,et al. Nonequilibrium potentials for dynamical systems with fractal attractors or repellers. , 1991, Physical review letters.
[124] V. Lucarini,et al. Bistability of the climate around the habitable zone: A thermodynamic investigation , 2012, 1207.1254.
[125] Benoît Tartinville,et al. Description of the Earth system model of intermediate complexity LOVECLIM version 1.2 , 2010 .
[126] Michael Ghil,et al. Low‐frequency variability of the large‐scale ocean circulation: A dynamical systems approach , 2005 .
[128] Frank Noé,et al. Markov state models based on milestoning. , 2011, The Journal of chemical physics.
[129] J. Yorke,et al. Edge of chaos in a parallel shear flow. , 2006, Physical review letters.
[130] Claes Rooth,et al. Hydrology and ocean circulation , 1982 .
[131] Halverson,et al. A neoproterozoic snowball earth , 1998, Science.