Articles | Volume 30, issue 4
https://doi.org/10.5194/npg-30-399-2023
https://doi.org/10.5194/npg-30-399-2023
Review article
 | 
05 Oct 2023
Review article |  | 05 Oct 2023

Review article: Dynamical systems, algebraic topology and the climate sciences

Michael Ghil and Denisse Sciamarella

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Cited articles

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Amon, A. and Lefranc, M.: Topological signature of deterministic chaos in short nonstationary signals from an optical parametric oscillator, Phys. Rev. Lett., 92, 094101, https://doi.org/10.1103/PhysRevLett.92.094101, 2004. a
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Arnol'd, V. I.: Geometrical Methods in the Theory of Ordinary Differential Equations, Springer Science & Business Media; first Russian edition 1978, 2012. a, b, c
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Short summary
The problem of climate change is that of a chaotic system subject to time-dependent forcing, such as anthropogenic greenhouse gases and natural volcanism. To solve this problem, we describe the mathematics of dynamical systems with explicit time dependence and those of studying their behavior through topological methods. Here, we show how they are being applied to climate change and its predictability.
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