Titlebook: Mathematics of Climate Modeling; Valentin P. Dymnikov,Aleksander N. Filatov Book 1997 Birkhäuser Boston 1997 Mathematica.atmosphere.climat

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2164-3679 . " The foundation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa­ tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate. " Respecting the recommenda­ tions of Wayne Yuhasz (we are tru

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Book 1997undation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa­ tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate. " Respecting the recommenda­ tions of Wayne Yuhasz (we are truly gratefu

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Solvability of Ocean and Atmosphere Models,ical equation (projection onto vertical axis) of its hydrostatic approximation. With the use of hydrostatic approximation for the fulfillment of the integral laws of conservation in diabatic approximation one needs to make a number of simplifications which are less essential than the hydrostatic approximation [99].

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Investigation of Structure of Climate Attractors by Observed Data Series,lation dimension and Kolmogorov entropy) from the observed data series are presented. This problem is of great importance from various point of view. First, reproducing the characteristics of attractor of the real atmosphere and assuming that the observed series of parameters of climatic system are

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Solvability of Ocean and Atmosphere Models,f systems which are called by the meteorologists the quasigeostrophic approximations for the description of the atmosphere dynamics. It is well known that the modern models of the general circulation of atmosphere and ocean are based on so-called primitive equations [99], which are also only some ap

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Valentin P. Dymnikov,Aleksander N. Filatovh class of mathematical operator is to be used as a model. The latter is concerned with an estimation algorithm and usually requires input output data from the process, a class of models to be identified and a suitable identification criterion. A number of techniques have been developed in recent ye

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Valentin P. Dymnikov,Aleksander N. Filatovn of control systems. A large number of control structures have been proposed, including supervised control (Werbos, 1990), direct inverse control (Miller . 1990), model reference control (Narendra and Parthasarathy, 1990), internal model control (Hunt and Sbararo, 1991), predictive control (Hunt .

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