Reconstructing the Attractor - Demo 2

Lorenz Model - Reconstruction

We now reconstruct of the attractor from X(t) using a delay time T=0.1. Since the dimension of the attractor is somewhere just above 2, in principal we need a 5-dimensional embedding space. Since this is impractical to show, we instead imagine a 3-dimensional embedding, but again we can only easily show projections. First the projection given by plotting X(t) against X(t+T)

and then X(t) against X(t+2T)

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Last modified Thursday, December 9, 1999
Michael Cross