Solution Curves of Linear Systems
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13 Terms
A has two distinct real eigenvalues of opposite signs
saddle point
A has two distinct positive eigenvalues
improper nodal source
A has two distinct negative eigenvalues
improper nodal sink
A has a negative eigenvalue and an eigenvalue equal to zero
parallel rays(settles onto line)
A has a positive eigenvalue and an eigenvalue equal to zero
parallel rays (goes to infinity, away from the line)
A has a positive eigenvalue of multiplicity 2
proper nodal source
A has a negative eigenvalue of multiplicity 2
proper nodal sink
A has PURELY IMAGINARY eigenvalues +-qi
center
A has COMPLEX eigenvalues (p +- qi) with a positive real part (p > 0)
spiral source
A has COMPLEX eigenvalues (-p +- qi) with a negative real part (p < 0)
spiral sink
A has a single positive eigenvalue and only one linearly independent eigenvector. in other words, lambda is a defective eigenvalue
improper nodal source
A has a single eigenvalue that equals zero and only one linearly independent eigenvector. In other words, zero is a defective eigenvalue
parallel lines
A has a single negative eigenvalue and only one linearly independent eigenvector. In other words, lambda is a defective eigenvalue
Improper nodal sink
