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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.
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]
The term "butterfly effect" in popular media may stem from the ... The Lorenz equations can arise in simplified models ... comparison of experiment with theory". ...
Butterfly effect image. The butterfly effect describes a phenomenon in chaos theory whereby a minor change in circumstances can cause a large change in outcome. The scientific concept is attributed to Edward Lorenz, a mathematician and meteorologist who used the metaphor to describe his research findings related to chaos theory and weather prediction, [1] [2] initially in a 1972 paper titled ...
The butterfly effect is a feature of chaos theory which is the mathematical study of the patterns and laws that create seemingly random events. In the butterfly effect, one small change can ...
Chaos theory is sometimes pointed out as a contradiction to Laplace's demon: it describes how a deterministic system can nonetheless exhibit behavior that is impossible to predict: as in the butterfly effect, minor variations between the starting conditions of two systems can result in major differences. [9]
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 ...
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."