Jonathan Posted August 9, 2007 Share Posted August 9, 2007 http://dnf.evsc.net/ Link to comment Share on other sites More sharing options...
BaalChatzaf Posted August 9, 2007 Share Posted August 9, 2007 (edited) http://dnf.evsc.net/An example of deterministic chaotic dynamics. Such systems cannot be predicted unless the initial or boundary conditions are known exactly which is FAPP impossible. The most recent era in which chaotic dynamics was studied was initiated by a meteorologist, Ed Lorenz, who used a set of non-linear differential equations to model atmospheric convection. He noticed (to his surprise) that when he started the solution iteration with initial conditions that were very nearly equal he ended up with totally different solutions. An earlier, pre-computer era was started by the French mathematician Henri Poincare who discovered that the trajectories of planets in the solar system were part of a chaotic system who long term behavior could not be predicted. In 1905 Poincare made some qualitative studies, but was unable to follow it up in detail because hand calculation was infeasible. Ba'al Chatzaf Edited August 9, 2007 by BaalChatzaf Link to comment Share on other sites More sharing options...
BaalChatzaf Posted August 9, 2007 Share Posted August 9, 2007 http://dnf.evsc.net/See http://en.wikipedia.org/wiki/Chaos_theoryBa'al Chatzaf Link to comment Share on other sites More sharing options...
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