Unformatted text preview: f ± ( x ∗ )( x − x ∗ ) = which does not exhibit global stability. This is because for any x ²= x ∗ then x = x for all t since ˙ x = 0. Consequently, x does not approach x ∗ in the limit, and so x ∗ = 0 cannot be asymptotically stable....
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- Fall '11
- Economics, Stability theory, Lyapunov stability, Dynamical systems, Structural stability