Abstract
As a feedback system under multiple cyclic forcing which bears rich oscillatory capabilities, the Earth’s climate gives rise to complex, evolving modal structures. To dissolve their dynamic complexity, sparse approximations are tried of time series of the instrumental period, using the adaptive, multiscale Matching Pursuit (MP) approach. A large, overcomplete dictionary of Gaussian logons (very flexible, frequency modulated (FM) Gabor atoms that may match highly nonlinear waveforms) is applied to extract the modes of a linear decomposition. Strictly univariate analyses are performed of a set of customary global and regional climate time series in annual resolution. Subsequent multivariate syntheses unveil synchronies between leading MP-FM modes across this data set, a fact that supports the idea of substantial low-dimensional shares in present-day climate dynamics.
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Notes
- 1.
Period 1870–1997 if not indicated otherwise; data and references are found in part at http://www.ngdc.nooa.gov (SRAD) and http://www.cru.uea.ac.ak/cru/data.
- 2.
Average over a 5 ∘ N/5 ∘ S equatorial latitude strip between 150 ∘ W and 90 ∘ W.
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Carl, P. (2013). On the Dynamical Status of the Climate System—II: Synchronous Motions Galore Across the Records. In: Stavrinides, S., Banerjee, S., Caglar, S., Ozer, M. (eds) Chaos and Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33914-1_74
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