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- W2794132203 abstract "There is widespread agreement that ice sheets flowed into the ocean in tropical latitudes at sea level during the Earth's past. Whether these extreme ice ages were snowball Earth events, with the entire surface covered in ice, or whether ocean water remained ice free in regions about the equator, continues to be controversial. For the latter situation to occur, the effect of positive ice albedo feedback would have to be damped to stabilize an advancing ice sheet shy of the equator. In this paper we analyze a conceptual model comprised of a zonally averaged surface temperature equation coupled to a dynamic ice line equation. This difference equation model is aligned with the cold world of these great glacial episodes through an appropriately chosen albedo function. Using the spectral method, the analysis leads to a nonsmooth singular perturbation problem. The Hadamard graph transform method is applied to prove the persistence of an invariant manifold, thereby providing insight into model behavior. A stable climate state with the ice line resting in tropical latitudes, but with open water about the equator, is shown to exist. Also presented are local smooth and nonsmooth bifurcations as parameters related to atmospheric CO2 concentrations and the efficiency of meridional heat transport, respectively, are varied." @default.
- W2794132203 created "2018-03-29" @default.
- W2794132203 creator A5012591778 @default.
- W2794132203 date "2018-07-30" @default.
- W2794132203 modified "2023-10-17" @default.
- W2794132203 title "Neoproterozoic glacial ages in a nonsmooth conceptual model" @default.
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- W2794132203 doi "https://doi.org/10.1088/2399-6528/aab748" @default.
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