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Eigenvalues and Linear Phase Portraits
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
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
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.
RELATED LINKS
Eigenvalue
(
Wolfram
MathWorld
)
Phase Portrait
(
Wolfram
MathWorld
)
PERMANENT CITATION
Selwyn Hollis
"
Eigenvalues and Linear Phase Portraits
"
http://demonstrations.wolfram.com/EigenvaluesAndLinearPhasePortraits/
Wolfram Demonstrations Project
Published: March 22, 2010
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