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The Lorenz System and its Lyapunov exponents

PHYSICS 527 Project 2 - Juan D Reyes

Abstract:

The Lorenz system is a classical example of a dynamical continuous system exhibiting chaotic behaviour. This report contains some basic information on the origin of this system and my results on its behaviour, in particular, programs to visualize the strange attractor and follow chaotic orbits. A way to stablish the chaotic behaviour of an orbit is by means of the Lyapunov exponents, a brief discussion of them is presented here, as well as my own attempt to compute them for the Lorenz system.





JUAN D REYES 2005-10-20