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A plot of Lorenz' strange attractor for values ρ=28, σ = 10, β = 8/3. The butterfly effect or sensitive dependence on initial conditions is the property of a dynamical system that, starting from any of various arbitrarily close alternative initial conditions on the attractor, the iterated points will become arbitrarily spread out from each other.
For example, even the small flap of a butterfly's wings could set the earth's atmosphere on a vastly different trajectory, in which for example a hurricane occurs where it otherwise would have not (see Saddle points). The shape of the Lorenz attractor itself, when plotted in phase space, may also be seen to resemble a butterfly.
The butterfly effect, an underlying principle of chaos, ... simply could not explain the observed behavior of certain experiments like that of the logistic map.
In the 1993 movie Jurassic Park, Dr. Ian Malcolm (played by Jeff Goldblum) attempts to explain chaos theory to Dr. Ellie Sattler (played by Laura Dern), specifically referencing the butterfly effect, by stating "It simply deals with unpredictability in complex systems", and "The shorthand is 'the butterfly effect.' A butterfly can flap its ...
Theories in physics like the butterfly effect from chaos theory open up the possibility of a type of distributed parameter systems in causality. [citation needed] The butterfly effect theory proposes: "Small variations of the initial condition of a nonlinear dynamical system may produce large variations in the long term behavior of the system."
The butterfly isn't just an elegant emblem in Ree's world. In Greek mythology, psyche (which means "soul" or "butterfly") is often depicted with butterfly wings. Butterflies are thus connected to ...
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The Butterfly Effect may be a little too unconventional to succeed with a mass audience, but filmgoers claiming they want 'something different' from Hollywood ought to take note. [13] In a retrospective, Peter Bradshaw of The Guardian wrote that critics, including himself, were too harsh on the film at the time of its release. Describing the ...