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Blackcrow Advanced Member
United Kingdom
723 posts Joined: Dec, 2003
Posted - 2005/10/05 : 14:15:21
You know how a lorentz Butterfly attractor slows down to a crawl near the mouth of a turn, but when its half way through it turn rapidly multiplys its acceleration out of the turn.
How much G-force would i experience comming out of the turn, if i was riding the attractor?
Underloop Advanced Member
United Kingdom
3,895 posts Joined: Mar, 2002
91 hardcore releases
Posted - 2005/10/05 : 22:40:11
Thats a toughy tbh, and from the data given in the simulation is impossible to give an acceleration in G as there are no units assosciated with the parameters in the example.
Chaos Theory is not something I have ever given much time to (I'm an Engineer not a Physicist) so I don't know the equations behind the Lorentz Attractor, *but* (apologies if I lose you here) if you partially differentiate the equation twice with respect to both X and Z then you will get the accceleration as a vector quantity (ie it has direction as well as magnitude). Something tells me I may be being a bit "simplistic" there though as chaos is a funny thing to deal with. If it was a bog-standard equation though then that is how you would deal with it to get the acceleration.
I might look up that book thats referenced though ( “Chaos and Nonlinear Dynamics” by R.C.Hilborn) as Non-Linear Dynamics is one of my fields...... although I have a feeling its going to be more related to Chaos theory than the stuff I'm looking at. Still, if I find anything interesting to do with this I'll let you know.
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zippy Advanced Member
United Kingdom
920 posts Joined: Dec, 2004
Posted - 2005/10/06 : 00:09:08
quote:Originally posted by Underloop:
Thats a toughy tbh, and from the data given in the simulation is impossible to give an acceleration in G as there are no units assosciated with the parameters in the example.
Chaos Theory is not something I have ever given much time to (I'm an Engineer not a Physicist) so I don't know the equations behind the Lorentz Attractor, *but* (apologies if I lose you here) if you partially differentiate the equation twice with respect to both X and Z then you will get the accceleration as a vector quantity (ie it has direction as well as magnitude). Something tells me I may be being a bit "simplistic" there though as chaos is a funny thing to deal with. If it was a bog-standard equation though then that is how you would deal with it to get the acceleration.
I might look up that book thats referenced though ( “Chaos and Nonlinear Dynamics” by R.C.Hilborn) as Non-Linear Dynamics is one of my fields...... although I have a feeling its going to be more related to Chaos theory than the stuff I'm looking at. Still, if I find anything interesting to do with this I'll let you know.
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Posted - 2005/10/05 : 14:15:21
