The Lorenz system is a three-variable autonomous differential equation modeling an idealized thermal convection flow. In Edward N. Lorenz's "Deterministic Nonperiodic Flow" (1963), published in the Journal of the Atmospheric Sciences 20, pp. 130–141, numerical solutions of the model illustrated nonrepeating motion and instability to changes in the initial condition. Lorenz used this example to examine obstacles to very-long-range weather forecasting.[ref]
https://samizdat.co/works/do-while/lorenz-1963.pdf. Lorenz's original 1963 paper
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The Lorenz system is a set of three nonlinear ordinary differential equations originally studied by mathematician and meteorologist Edward Lorenz in 1963. It is famous for its chaotic solutions, which exhibit sensitive dependence on initial conditions—an essential feature of chaotic systems, often referred to as the "butterfly effect." The Lorenz system is defined by the following equations: 1. \(\frac{dx}{dt} = \sigma (y - x)\) 2.