Edge states in the climate system: exploring global instabilities and critical transitions

@article{Lucarini2016EdgeSI,
  title={Edge states in the climate system: exploring global instabilities and critical transitions},
  author={Valerio Lucarini and Tam{\'a}s B{\'o}dai},
  journal={Nonlinearity},
  year={2016},
  volume={30},
  pages={R32 - R66}
}
Multistability is a ubiquitous feature in systems of geophysical relevance and provides key challenges for our ability to predict a system’s response to perturbations. Near critical transitions small causes can lead to large effects and—for all practical purposes—irreversible changes in the properties of the system. As is well known, the Earth climate is multistable: present astronomical and astrophysical conditions support two stable regimes, the warm climate we live in, and a snowball climate… 

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References

SHOWING 1-10 OF 116 REFERENCES

Global instability in the Ghil–Sellers model

Abstract The Ghil–Sellers model, a diffusive one-dimensional energy balance model of Earth’s climate, features—for a considerable range of the parameter descriptive of the intensity of the incoming

Habitability and Multistability in Earth-like Planets

We explore the potential multistability of the climate for a planet around the habitable zone. We focus on conditions reminiscent to those of the Earth system, but our investigation aims at

Mathematical and physical ideas for climate science

The climate is a forced and dissipative nonlinear system featuring nontrivial dynamics on a vast range of spatial and temporal scales. The understanding of the climate's structural and multiscale

Climate stability for a Sellers-type model

Abstract We study a diffusive energy-balance climate model, governed by a nonlinear parabolic partial differential equation. Three positive steady-state solutions of this equation are found; they

A mathematical theory of climate sensitivity or, How to deal with both anthropogenic forcing and natural variability?

Recent estimates of climate evolution over the coming century still differ by several degrees. This uncertainty motivates the work presented here. There are two basic approaches to apprehend the

Climate Response Using a Three-Dimensional Operator Based on the Fluctuation–Dissipation Theorem

Abstract The fluctuation–dissipation theorem (FDT) states that for systems with certain properties it is possible to generate a linear operator that gives the response of the system to weak external

Predicting Climate Change Using Response Theory: Global Averages and Spatial Patterns

The provision of accurate methods for predicting the climate response to anthropogenic and natural forcings is a key contemporary scientific challenge. Using a simplified and efficient open-source
...