The solid curve stands for the stable equilibrium and the dashed curve stands for the
unstable equilibrium. Note that, for [[beta].sub.1] = 30 and [R.sup.*.sub.1] > 1, [[beta].sub.2] = 0 such that system (1) has a unique positive high-criminality equilibrium (see case (i) of Theorem 1 and (12)).
Now, setting the parameter a = 2.5, the five
unstable equilibrium points in system (2) are [s.sub.0] = (0, 0,0), [p.sup.+] = (3.5355,1.7202,1.0136), [p.sup.-] = (-3.5355,-1.7202,1.0136), [q.sup.+] = (3.5355, -3.4880, -2.0553), and [q.sup.-] = (-3.5355,3.4880, -2.0553), respectively.
A chaotic attractor appears, which corresponds to a
unstable equilibrium point, indicating the chaotic attractor is a self-excited attractor.
The EU is in an
unstable equilibrium: Small disturbances can produce large changes.
A classical system may be in stable, neutral, or
unstable equilibrium. A neutrosophic system may be in quasi-stable, quasi-neutral or quasi-unstable equilibrium, and its potential energy respectively quasi-minimum, quasi-null (i.e.
If there was any doubt before the latest wave of violence, one thing is now clearthe conflict cannot be "managed." It is impossible to calibrate an inherently
unstable equilibrium, and it is cynical that both sides in this conflict have attempted to do this for such a long period of time.
In ecology, the existence of travelling wave solutions connecting two equilibria means that the
unstable equilibrium is taken over by the stable one in space as time increases.