Question

This property is implied by the absence of non-trivial points from the largest invariant set via LaSalle's invariance principle. A numerical analog of this property is difficult to achieve while solving stiff O·D·Es. This property's "i.s.L.," "asymptotic," and "exponential" forms are defined via a Lyapunov function. The (0[1])[emphasize] absence of this property names a fluid phenomenon that is co-named for (*) Rayleigh and (0[1])Taylor. Local energy minima house states with the "meta" form of this property. This property arises when the second derivative is positive at an (0[1])equilibrium. This property is notably lacked by the inverted pendulum. For 10 points, name this property of systems that return to their resting states when perturbed. (10[1]0[2])■END■

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