Development of lorenz nonlinear dynamic model

Abstract

The purpose of this thesis is to study the applications of Lorenz model for nonlinear dynamic systems. This shows a development of the mode for a planetary-scale motion of the atmosphere in the domain area of middle latitude of the Northern Hemisphere. treamfunctions of the system are assumed to be in the form: Ѱ(x, y; t) = √2 X(t) cos y + 2 Y(t) cos 2x sin y + 2z(t) sin 2x sin y Steady-state solutions and their stabilities have been calculated. The result shows that perturbations are induced by topography and by thermal driving force. Moreover, when we do the numerical experiments to obtain streamfuntions of the system, the result shows that there is chaotic behavior occurring.