Discrete map · 1D · dim 1
Tent map
Piecewise-linear cousin of the logistic map with the same topological structure but no quadratic curvature. The full tent (μ = 2) is conjugate to the logistic at r = 4 and to the Bernoulli shift on binary strings.
Equations
x_{n+1} = μ · min(x_n, 1 − x_n)At a glance
| Parameters | μ ∈ (1, 2] |
|---|---|
| Chaotic for | μ > 1 |
| Lyapunov exponent | λ = ln μ |
| History | Studied extensively from the 1970s onward. |
Try it
Open the interactive playground at /tools/cobweb.