Hi

Suppose for a dynamical system $\displaystyle \dot x = f(x), x \in \mathbb R^n$ there exists a finite number of isolated equilibria, all of them are locally stable (i.e eigenvalues of the associated Jacobian for each equilibrium have negative real parts).

My question is: Can the number of the of equilibria in the statement above exceed one? (sorry if it is a trivial question)

Regards