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GALLERY OF LORENZ EQUATION

洛倫茲吸引子

The Lorenz attractor, In 1963, Edward Lorenz (1917–2008), who was very interested by the problem of convection in the Earth’s atmosphere, drastically simplified the NavierStokes equations of fluid mechanics, well-known for their intricate complexity.

1963 年,對地球大氣中的對流問題非常感興趣的 Edward Lorenz (1917–2008) 簡化了流體力學的 NavierStokes 方程,該方程以其錯綜複雜而聞名,簡化為3條漂亮的常微分方程式。

The Lorenz equations for fluid convection in a two-dimensional layer heated from below are.

dx dt = σ ( y − x )

dy dt = − xz + rx − y

dz dt = xy − bz .

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