Studied by 13 peoplestable improper node
2 distinct real roots,
λ1, λ2 < 0
unstable improper node
2 distinct real roots,
λ1, λ2 > 0
unstable saddle point
2 distinct real roots,
λ1 < 0 < λ2
stable proper node
repeated roots with distinct eigenvectors
λ1 = λ2 < 0
unstable proper node
repeated roots with distinct eigenvectors
λ1 = λ2 > 0
stable improper node
repeated roots with only 1 eigenvector
λ1 = λ2 < 0
unstable improper node
repeated roots with only 1 eigenvector
λ1 = λ2 > 0
stable center point
pure imaginary complex conjugate roots
λ1 = λ2 = ± ai
stable spiral point
pure imaginary complex conjugate roots
λ1 = λ2 = a ± bi
a < 0
unstable spiral point
pure imaginary complex conjugate roots
λ1 = λ2 = a ± bi
a > 0
stable improper node
unstable improper node
stable proper node
unstable proper node
stable center point
unstable saddle point
stable spiral point
unstable spiral point
Note
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