4.5 Review

A Century of Nonlinearity in the Geosciences

Journal

EARTH AND SPACE SCIENCE
Volume 6, Issue 7, Pages 1007-1042

Publisher

AMER GEOPHYSICAL UNION
DOI: 10.1029/2019EA000599

Keywords

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Funding

  1. European Union's New and Emerging Science and Technology (NEST) Programme
  2. French Agence Nationale de la Recherche
  3. Centre National de la Recherche Scientifique
  4. U.S. Department of Energy
  5. Office of Naval Research's Multidisciplinary University Research Initiative (MURI)
  6. National Air and Space Administration
  7. National Science Foundation

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This paper provides a thumbnail sketch of the evolution of nonlinear ideas in the mathematics and physics of the geosciences, broadly construed, over the last hundred or so years. It emphasizes the mathematical concepts and methods and outlines simple examples of how they were, are, and maybe will be applied to the solid Earth-that is, the crust, mantle, and core-and its fluid envelopes-that is, the atmosphere and oceans. Plain Language Summary Nonlinearity has become a buzzword, along with chaos, complexity, fractals, networks, tipping points, turbulence, and other concepts associated with modern science. We outline here what it all means and how it has affected the progress of the geosciences over the past century, mostly over the last six decades or so.

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