Articles | Volume 27, issue 3
https://doi.org/10.5194/npg-27-429-2020
https://doi.org/10.5194/npg-27-429-2020
Review article
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17 Sep 2020
Review article | Highlight paper |  | 17 Sep 2020

Review article: Hilbert problems for the climate sciences in the 21st century – 20 years later

Michael Ghil

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Review article: Dynamical systems, algebraic topology and the climate sciences
Michael Ghil and Denisse Sciamarella
Nonlin. Processes Geophys., 30, 399–434, https://doi.org/10.5194/npg-30-399-2023,https://doi.org/10.5194/npg-30-399-2023, 2023
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Orbital insolation variations, intrinsic climate variability, and Quaternary glaciations
Keno Riechers, Takahito Mitsui, Niklas Boers, and Michael Ghil
Clim. Past, 18, 863–893, https://doi.org/10.5194/cp-18-863-2022,https://doi.org/10.5194/cp-18-863-2022, 2022
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Abrupt climate changes and the astronomical theory: are they related?
Denis-Didier Rousseau, Witold Bagniewski, and Michael Ghil
Clim. Past, 18, 249–271, https://doi.org/10.5194/cp-18-249-2022,https://doi.org/10.5194/cp-18-249-2022, 2022
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Brief communication: An innovation-based estimation method for model error covariance in Kalman filters
Eviatar Bach and Michael Ghil
Nonlin. Processes Geophys. Discuss., https://doi.org/10.5194/npg-2021-35,https://doi.org/10.5194/npg-2021-35, 2021
Preprint withdrawn
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Dansgaard–Oeschger-like events of the penultimate climate cycle: the loess point of view
Denis-Didier Rousseau, Pierre Antoine, Niklas Boers, France Lagroix, Michael Ghil, Johanna Lomax, Markus Fuchs, Maxime Debret, Christine Hatté, Olivier Moine, Caroline Gauthier, Diana Jordanova, and Neli Jordanova
Clim. Past, 16, 713–727, https://doi.org/10.5194/cp-16-713-2020,https://doi.org/10.5194/cp-16-713-2020, 2020
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Related subject area

Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere | Techniques: Theory
Review article: Interdisciplinary perspectives on climate sciences – highlighting past and current scientific achievements
Vera Melinda Galfi, Tommaso Alberti, Lesley De Cruz, Christian L. E. Franzke, and Valerio Lembo
Nonlin. Processes Geophys., 31, 185–193, https://doi.org/10.5194/npg-31-185-2024,https://doi.org/10.5194/npg-31-185-2024, 2024
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Variational techniques for a one-dimensional energy balance model
Gianmarco Del Sarto, Jochen Bröcker, Franco Flandoli, and Tobias Kuna
Nonlin. Processes Geophys., 31, 137–150, https://doi.org/10.5194/npg-31-137-2024,https://doi.org/10.5194/npg-31-137-2024, 2024
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Sensitivity of the polar boundary layer to transient phenomena
Amandine Kaiser, Nikki Vercauteren, and Sebastian Krumscheid
Nonlin. Processes Geophys., 31, 45–60, https://doi.org/10.5194/npg-31-45-2024,https://doi.org/10.5194/npg-31-45-2024, 2024
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High-frequency Internal Waves, High-mode Nonlinear Waves and K-H Billows on the South China Sea's Shelf Revealed by Marine Seismic Observation
Linghan Meng, Haibin Song, Yongxian Guan, Shun Yang, Kun Zhang, and Mengli Liu
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Existence and influence of mixed states in a model of vegetation patterns
Lilian Vanderveken, Marina Martínez Montero, and Michel Crucifix
Nonlin. Processes Geophys., 30, 585–599, https://doi.org/10.5194/npg-30-585-2023,https://doi.org/10.5194/npg-30-585-2023, 2023
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Cited articles

Alessio, S. M.: Digital Signal Processing and Spectral Analysis for Scientists: Concepts and Applications, Springer Science and Business Media, https://doi.org/10.1007/978-3-319-25468-5, 2015. a
Alkhayuon, H., Ashwin, P., Jackson, L. C., Quinn, C., and Wood, R. A.: Basin bifurcations, oscillatory instability and rate-induced thresholds for AMOC in a global oceanic box model, arXiv [preprint], arXiv:1901.10111, 29 January 2019. a
Allen, M. R.: Liability for climate change, Nature, 421, 891–892, 2003. a
Allen, M. R. and Smith, L. A.: Monte Carlo SSA: Detecting irregular oscillations in the presence of colored noise, J. Climate, 9, 3373–3404, 1996. a
Arrow, K. J. and Debreu, G.: Existence of an equilibrium for a competitive economy, Econometrica, 22, 265–290, 1954. a
Short summary
The scientific questions posed by the climate sciences are central to socioeconomic concerns today. This paper revisits several crucial questions, starting with What can we predict beyond 1 week, for how long, and by what methods?, and ending with Can we achieve enlightened climate control of our planet by the end of the century? We review the progress in dealing with the nonlinearity and stochasticity of the Earth system and emphasize major strides in coupled climate–economy modeling.