Consider the famous Lorenz system:
x' = 10(y-x)
y’ = x(R-z)-y
z’ = xy-8/3*z
What is in there when R = 28, which is not in there when R = 26?
I want an answer which will not be related to equilibria and their stability, because I have the same question about the NE6 system in [1]:
x' = y
y’ = z
z’ = -y-xz-yz-a
This system has no equilibrium. What is in there when a = 0.74, which is not in there when a = 0.78?
Reference
[1] Jafari, S., Sprott, J.C., Golpayegani, S.M.R.H. [2013] “Elementary quadratic chaotic flows with no equilibria,” Phys. Lett. A, 377, 699-702.