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segmentedRecursion

A CobWeb plot is this amazing representation method that shows how a simple recurrence relation evolves and highlights the role of attractors.

In this example, we focus on a basic recurrence: $u_{n+1} = f(u_n)$ with a specific kind of iterator f: a piecewise linear function.

Its properties can be adjusted at will, the outcome is shown instantaneously.

Demo

Animation