Skip to main content

New answers tagged

1 vote

Is there a formalization of the butterfly effect?

Today people typically refer to Liapunov exponents when referring to the butterfly effect, as most answers already pointed out. It is about the exponential growth of infinitesimally close neighbouring ...
LPZ's user avatar
  • 11.7k
2 votes

Is there a formalization of the butterfly effect?

In general, the Butterfly Effect is characterized by very small changes in initial conditions having great effect on a larger system. The literal Butterfly Effect itself (as in the effect of a ...
AnoE's user avatar
  • 2,698
8 votes

Is there a formalization of the butterfly effect?

To your first comment, it makes sense to talk about a perturbation of a system. You are correct that if the system is deterministic, it can lead to only one outcome, but we can consider additional ...
Cort Ammon's user avatar
  • 49.2k
31 votes
Accepted

Is there a formalization of the butterfly effect?

... if a physical system is deterministic, then it does not make sense to talk about perturbations of it ... The future (and past) behaviour of a deterministic system is fixed once we know its state ...
gandalf61's user avatar
  • 53.9k
13 votes

Is there a formalization of the butterfly effect?

Usually butterfly effect is mathematized as "sensitivity to initial conditions". This is a bit different to what you are saying. Namely you consider two close initial conditions $x_1(0),x_2(...
lcv's user avatar
  • 2,094
1 vote

What is a diabolical point?

As I understand this, Diabilical points are systems where the degeneracy is only in the eigenvalues and not in the eigenstates. (A system in which both eigenvalues and eigenstates are degenerate is ...
ETHyD's user avatar
  • 11

Top 50 recent answers are included