<ul><li>The period doubling region in the logistic map has specific cycle orders within each branching region.</li><li>The cycle order in each region remains constant and follows a specific pattern, such as [0, 2, 1, 3] for one of the regions.</li><li>The cycle orders for subsequent regions follow a similar pattern of increasing numbers, such as [0, 4, 6, 2, 1, 5, 3, 7] and [0, 8, 12, 4, 6, 14, 10, 2, 1, 9, 13, 5, 3, 11, 7, 15].</li><li>There is ongoing exploration into whether the cycle order remains constant within a region of constant period and what general conclusions can be drawn from these patterns.</li></ul>

Cycle order in period doubling region

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