What happens when you try to find tan 90 on your calculator? Why does this happen?
M344 Section 9.3 Notes- Locally Linear Systems 2-24-17 ′ Theorem 9.3.1- The critical point = of linear system = where det ≠ 0 is: o Asymptotically stable if eigenvalues , are real and negative or have negative real part 1 2 o Stable if1 2 are purely imaginary o Unstable if 1 ,2 are real and positive or have positive real part Effect of Small Perturbations o From table in section 9.1, can see e-values determine type and stability of critical point = o , depend on coefficients