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Suppose that a continuous, one dimensional differential equation has only TWO separate equilibria. Is it possible for this 1D system to have two stable equilibrium
Suppose that a continuous, one dimensional differential equation has only TWO separate equilibria. Is it possible for this 1D system to have two stable equilibrium points? Choice 1 of 4:No, because there should be an unstable equilibrium point in between two stable points to push points towards the stable points. Choice 2 of 4:No, because one of the equilibrium points would have to be an unstable equilibrium point. Choice 3 of 4:Yes, because more than one outcome is possible. Choice 4 of 4:Yes, because then the system would have two different basins of attraction
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