Chaos Lab

Continuous flow · dim 4

Hyperchaotic Rössler

Rössler's 4D extension with two positive Lyapunov exponents (hyperchaos). Geometrically the trajectory expands along two unstable directions at once.

Hyperchaotic Rössler (4-D), projected to 3-D for display.

Equations

dx/dt = −y − z
dy/dt = x + a y + w
dz/dt = b + x z
dw/dt = −c z + d w

At a glance

Parametersa = 0.25, b = 3, c = 0.5, d = 0.05 (classical)
Chaotic foraround classical parameters
HistoryRössler (1979).

Try it

Open the interactive playground at /tools/rossler.

See also

Quick quiz

Test yourself on hyperchaotic-rossler

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

  1. Q1.A hyperchaotic system has at least:

  2. Q2.Hyperchaotic Rössler has phase-space dimension:

  3. Q3.Rössler introduced hyperchaos in:

  4. Q4.Why is hyperchaos useful in cryptography?

  5. Q5.Classical hyperchaotic Rössler parameters:

  6. Q6.Hyperchaotic flows are characterised by:

  7. Q7.Hyperchaotic Chen / hyperchaotic Lorenz are:

  8. Q8.Hyperchaotic Kaplan-Yorke dimension is:

0 of 8 answered