GLOBAL WARMING IN MATHEMATICAL MODEL OF MULTIFRACTAL DYNAMICS
Аннотация и ключевые слова
Аннотация (русский):
In this work the variations of global temperature that have occurred in the period from 1860 up to now are analyzed on the basis of the concept of multifractal dynamics. The multifractal curve describing dynamics of global temperature for this period of time has the following values of fractal dimensions over 5 periods lasting for 30ndash;31 years each, accordingly: D1 = 1.140; D2 =1.166; D3 = 1.141; D4 = 1.203; D5 = 1.183. Such relatively small values of fractal dimensions are indicative of essentially determined character of processes responsible for variations of global temperature. Our predictive estimates provide 0.5oC increase in global temperature by 2072, thereby confirming maintenance of the tendency of global warming in the near future.

Ключевые слова:
Fractal, multifractal dynamics, global warming, climate, global temperature
Список литературы

1. Jones, Global Warming Trends, Scientific American, v. 263, no. 2

2. Mandelbrot, The Fractal geometry of nature

3. Brohan, Uncertainty estimates in regional and global observed temperature changes: a new dataset from 1850, J. Geophysical Research, v. 111, no. D12106, doi:https://doi.org/10.1029/2005JD006548

4. Kudinov, Catastrophes in the Multi-Fractal Dynamics of Social-Economic Systems, Russian Journal of Mathematical Physics, v. 18, no. 2

5. Kudinov, Currency crisis and bifurcation phenomena in the framework of the fractal theory, Finansy i kredit, no. 46326

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