When1: 1963
Who: Edward Lorenz [Lorenz, Edward]
What: meteorologist/computer scientist
Where: USA
works\ Deterministic Nonperiodic Flow [1963]
Detail: He lived 1917 to ? and studied complex systems. He invented non-periodic weather-system computer models that were sensitive to initial conditions {butterfly effect, Lorenz}.
He studied fluid convections with circular motions {Rayleigh-Bénard convection, Lorenz}. Equations are dx / dt = 10 * (y - x), dy / dt = x * z + 28 * x - y, and dz / dt = x * y - (8/3) * z.
Paths through phase space never cross. Attractor can move to another surface when it moves to another phase-space region, so surfaces do not intersect.
Complex non-linear systems can have different final states that are not interchangeable {intransitive system}. Systems can be almost intransitive and can flip spontaneously from one state to another.
Mathematical Sciences>Mathematics>History>Complexity Theory
3-Mathematics-History-Complexity Theory
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Date Modified: 2022.0224