Self-organization of the Earth's climate system versus Milankovitch-Berger astronomical cycles
Article first published online: 23 JUL 2014
© 2014. The Authors.
This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
Journal of Advances in Modeling Earth Systems
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How to Cite
2014), Self-organization of the Earth's climate system versus Milankovitch-Berger astronomical cycles, J. Adv. Model. Earth Syst., 06, doi:10.1002/2014MS000312.(
- Article first published online: 23 JUL 2014
- Accepted manuscript online: 4 JUN 2014 12:48AM EST
- Manuscript Accepted: 26 MAY 2014
- Manuscript Revised: 5 MAY 2014
- Manuscript Received: 29 JAN 2014
- temperature variation multifractal structure;
- climate self-organization;
- astronomical cycles
The Late Pleistocene Antarctic temperature variation curve is decomposed into two components: “cyclic” and “high frequency, stochastic.” For each of these components, a mathematical model is developed which shows that the cyclic and stochastic temperature variations are distinct, but interconnected, processes with their own self-organization. To model the cyclic component, a system of ordinary differential equations is written which represent an auto-oscillating, self-organized process with constant period. It is also shown that these equations can be used to model more realistic variations in temperature with changing cycle length. For the stochastic component, the multifractal spectrum is calculated and compared to the multifractal spectrum of a critical sine-circle map. A physical interpretation of relevant mathematical models and discussion of future climate development within the context of this work is given.