# Cobweb Diagram of the Logistic Map

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The logistic map, a popular example of a period-doubling cascade developing to chaos, obeys the recurrence . The red cobweb diagram traces out the orbit of for a given value of the parameter . The orbit is chaotic when the cobweb diagram becomes dense.

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Contributed by: Kevin Reiss (May 2021)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: period 2 orbit

Snapshot 2: period 4 orbit

Snapshot 3: chaotic orbit

## Permanent Citation