A model for atmospheric circulation.

In this paper we study a mathematical model for atmospheric circulation. If the wind directions of the atmosphere were averaged over large sections of the Earth's surface, a circulation pattern evolves -- developed by the heating of the sun and also due to the Earth's rotation. To describe this complex weather system more than 105 variables would be involved. We propose a low order model based on a system proposed by Lorenz [4], which models a modified Hadley circulation. (This model will be referred to as the Lorenz-84 Model.) The model involves three dependent variables : x representing the poleward temperature gradient, y and z representing the cosine and sine phases of a sequence of eddies which are large-scale and superposed and t, the independent variable representing time. [ABSTRACT FROM AUTHOR]