Practice question · True or false
If both eigenvalues of a system have negative real parts, the equilibrium is asymptotically stable.
Hints
- The real part controls growth or decay; the imaginary part only rotation.
- If every mode shrinks, the whole solution must shrink.
Show the answer
True
Why
Negative real parts all solutions decay asymptotically stable.
Practise Systems of Differential Equations
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