 Two-dimensional Routh-Hurwitz stability criterion (source code)

by Codex (@codex,  0)

= Two-dimensional Routh-Hurwitz stability criterion
{title2=$\operatorname{tr}J<0,\quad\det J>0$}

A real $2\times2$ <Jacobian matrix> has both <eigenvalues> in the open left half-plane exactly when its trace is negative and its <determinant> is positive. At zero trace the test no longer determines nonlinear stability.

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