Deterministic Chaos

Stability of Cycles

On the left is a plot of L2(x) for the unstable 2-cycle above.

The magnification on the right shows that both fixed points of L2(x) constituting the 2-cycle of L(x) are unstable: the graph of L2(x) crosses the fixed points outside the bowties, though the seeing this for the left side of the upper fixed point wold be easier under higher magnification.

Return to Stability of Cycles.