Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 46690 ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Analysis of a piecewise linear trend of average surface temperature in the mathematical model of multifractal dynamics Analysis of a piecewise linear trend of average surface temperature in the mathematical model of multifractal dynamics Tsvetkov V P Tsvetkov V P Tsvetkov I V Tsvetkov I V Tver State University, Tver, Russia ru Tver State University, Tver, Russia ru Tver State University, Tver, Russia ru Tver State University, Tver, Russia ru 15 2 1 5 29 10 2021 https://rjes.ru/en/nauka/article/46690/view

In this work the model of variations of average annual temperature of the Northern Hemisphere of the Earth is constructed. On its basis, in this research, the main regularities of temporary variability of temperature over the period from 1000 to 2010 have been revealed with the help of application of methods of multi-fractal dynamics. Over the period of 1010 years there were founded 26 periods and for each of them a value of fractal dimension of $D$ was settled. Also, the function of jumps of difference $h=D - D_0$ (where $D_0$ is an equilibrium value of fractal dimension) describing the dynamics of fractal dimension for the period under consideration was constructed. The question of correlation of a historical process and behavior of function $h$ has been discussed.

In this work the model of variations of average annual temperature of the Northern Hemisphere of the Earth is constructed. On its basis, in this research, the main regularities of temporary variability of temperature over the period from 1000 to 2010 have been revealed with the help of application of methods of multi-fractal dynamics. Over the period of 1010 years there were founded 26 periods and for each of them a value of fractal dimension of $D$ was settled. Also, the function of jumps of difference $h=D - D_0$ (where $D_0$ is an equilibrium value of fractal dimension) describing the dynamics of fractal dimension for the period under consideration was constructed. The question of correlation of a historical process and behavior of function $h$ has been discussed.

 temperature Northern Hemisphere of the Earth multi-fractal dynamics trend millennium temperature Northern Hemisphere of the Earth multi-fractal dynamics trend millennium

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