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).

Try it

Open the interactive playground at /tools/lu.

See also

Quick quiz

Test yourself on lu

8 multiple-choice questions. Pick an answer for each, then submit to see explanations.

  1. Q1.Lü's 2002 system is:

  2. Q2.Classical Lü parameters are:

  3. Q3.Setting c = a/2 + b in the Lü system corresponds to:

  4. Q4.Lü published the system in:

  5. Q5.Lü system equilibria:

  6. Q6.Compared to Chen, the Lü system has:

  7. Q7.Lü's system was important for showing:

  8. Q8.Numerical experiments on Lü use which integrator?

0 of 8 answered