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If I have a linear system with one negative eigenvalue and another eigenvalue of zero, what does that mean for the stability of the equilibrium. Also, then if I have a nonlinear system with one negati...

If I have a linear system with one negative eigenvalue and another eigenvalue of zero, what does that mean for the stability of the equilibrium. Also, then if I have a nonlinear system with one negative eigenvalue and another eigenvalue of zero, what does it mean for its equilibrium stability. What it be the same for both nonlinear and linear?

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