P1, P2, and P3 are general unstable equilibrium
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)).
Near the unstable equilibrium
point [E.sub.0], we can find a stable periodic solution for b < [b.sub.0].
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.
When [phi] < 0 with [absolute value of ([phi])] [much less than] 1, 0 is unstable; when 0 < [phi] [much less than] 1, 0 is locally asymptotically stable, and there exists a positive unstable equilibrium
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.
Consequently, B is a position of unstable equilibrium
, while C and C are stable.
The current state of security, you can specify the concept of unstable equilibrium
, ie it is possible at any moment to collapse a significant portion of insurance or tilting of one of the upright section of the diaphragm wall.