Eigenvalues and Linear Phase Portraits

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This shows the phase portrait of a linear differential system along with a plot of the eigenvalues of the system matrix in the complex plane.

Contributed by: Selwyn Hollis (March 2010)
Open content licensed under CC BY-NC-SA



Sliders allow manipulation of the matrix entries over . By viewing simultaneously the phase portrait and the eigenvalue plot, one can easily and directly associate phase portrait bifurcations with changes in the character of the eigenvalues.

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