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Suppose for a dynamical system [itex]\dot x=f(x) , x \in \mathbb R^n [/itex] there exists finite number of isolated equilibria, each of which is locally stable (i.e eigenvalues of the associated Jacobian have negative real parts).

My question is: Can this happen for more than one equilibrium? (sorry if it is a trivial question

Regards

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# Local stability and equilibria

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