Chaos Lab

Continuous flow · dim 3

Lü system

Jinhu Lü (2002) constructed this system as a bridge between Lorenz and Chen: it interpolates topologically between the two as parameters vary.

Lü system at (36, 3, 20). Bridges Lorenz and Chen.

Equations

dx/dt = a (y − x)
dy/dt = −x z + c y
dz/dt = x y − b z

At a glance

Parametersa = 36, b = 3, c = 20 (classical)
Chaotic foraround classical parameters
HistoryLü and Chen, IJBC (2002).

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Open the interactive playground at /tools/lu.

See also

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