index

Abstract

I.Historical and physical backrounds

II.Analisis of the Lorenz's dynamic system: equilibrium and stability

III.Numerical simulation:
- observation 3D of the chaotic comportment of the system
- visualization of the pitchwork bifurcation

Conclusion & bibliography



Abstract

This work takes place in the hydrodynamic instabalities curses performed by O.Thual.
It consists in studying the instabilities of the famous Lorenz's model which story will be briefly reminded.
The main goals of this report are:

            We will notice that finding the proper values of the linearised system matrix is essential.             We will visualize the analyse results: the different equilibriums corresponding to the "r" range, the initial condition sensibility
            and the chaotic comportment of the so-called strange attractor.