Chaos Lab

Continuous flow · dim 3

Chen system

Discovered by Guanrong Chen (1999). Topologically distinct from Lorenz despite a similar form. Often studied alongside Lorenz and Lü as the canonical generalised-Lorenz family.

Chen system at (35, 3, 28).

Equations

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

At a glance

Parametersa = 35, b = 3, c = 28 (classical)
Chaotic foraround classical parameters
Lyapunov exponentλ₁ ≈ 2.0 (classical)
HistoryG. Chen and T. Ueta, IJBC (1999).

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Open the interactive playground at /tools/chen.

See also

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