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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.
A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8 / 3 . The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz.
The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning there is sensitive dependence on initial conditions). [4]
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."
It happens because of something called the Rayleigh effect, or Rayleigh scattering, named after a British scientist who first wrote about it in 1871. Bands of vivid blue, pink and orange light are ...
The fermions are intrinsically linked to stochastic Lyapunov exponents, [2] This suggests, particularly, that under conditions of spontaneous TS breaking, the effective theory for these fermions -- referred to as goldstinos in this context -- is essentially a theory of the butterfly effect.
President Donald Trump is set to test the limits of his immigration crackdown by invoking a wartime law to deport immigrants alleged to be gang members without court hearings, a broad authority ...
Michael Johnson’s new track league has struck a media deal for Peacock to stream all the action live and The CW to broadcast the weekend races during the four events in 2025. The Grand Slam ...