THE EXISTENCE OF PERIODIC-ORBITS OF THE TENT MAP

For the tent map Tμ(x) = μx for 0 ≤ x ≤ 1 2 and = μ(1 - x) for 1 2 ≤ x ≤ 1, the μ values are determined for which periodic orbits of each order exist. Except for period 2n orbits which exist for all μ ≥ 1, the Sarkovskii ordering is vividly illustrated. After the μ values for odd periodic orbits are determined, the remaining even periodic orbits are handled by topological conjugacy. © 1990.