Re: [pbla4024] Effect of dipping your right shoulder on heading
In reply to:
You are a bit mistaken here.
1) Sensitivity to initial conditions is not enough to get chaotic behaviour
2) Sensitivity to initial conditions comes from dense periodic orbits and transitive flow. This is theorem from late nineties, really nice one :-)
You first must define the initial condition. If the initial condition is the pack, then I can make it in a way that the behavior of the opening will be chaotic
For our case, let's assume the initial condition is the body position (1) and the chaotic motion the canopy deployment (2). Is 2 sensitive to 1? You decide.
How do we know, or don't, that a body in FF does not follow periodic orbits and transitive flow?
How do we know, or don't, that the opening of a canopy gives rise to strange attractors? Honestly if I had to bet my few pennies, just out of gut, I'd say that it does.
I think the first point to be analyzed is the determinism or not of a BASE deployment, that nobody has addressed quite yet.
Is a BASE deployment a deterministic or non-deterministic system?
Here is my ignorant 0.02.
From the jumper's view at the exit point, the deployment is clearly a non-deterministic system. He only knows enough variables to be unable to determine the next state. However as 460 pointed out, sometimes going by "feel" could lead to some sort of determinism.
This leads to my other point.
Knowing enough variables, a BASE deployment could be a deterministic system. Now, the problem is, how many variables do we really have to know in order to have this system of deterministic nature? Do we need to know every single wrinkle in the fabric of the canopy, the relative humidity of the air at every single point of the deployment, a front coming in that is 300 miles away, the location of dark energy?
Bottom line is this before I get too damn metaphysical: I think that a BASE deployment is very much dependent of the initial condition along its variables, whatever the initial condition might be.
The system as far as we are concerned at the exit point is non-deterministic however knowing enough relevant variables, it might be possible to model a BASE deployment with an isomorphic deterministic system. Maybe.