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  2. Lectures in Dynamical Systems
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  4. L4

L4

L4_01_Fomulation of Sarkovskii's theorem

L4_02_Assumption and conclusions.

L4_03_A fixed point exists

L4_04_Continuuity and nested closed intervals

L4_05_The period 3 assumption

L4_06_Low prime periods exist

L4_07_Nested closed intervals

L4_08_The construction

L4_09_Higher prime periods exist

L4_10_The Sarkovskii ordering

L4_11_Consequences and the converse

L4_12_Limits from above and below

L4_13_Definition and examples

L4_14_Negative Schwartzians

L4_15_The local extrema

L4_16_The critical points of the iterates

L4_17_Finiteness of critical points

L4_18_No positive minimum

L4_19_Three cases

L4_20_A critical point exists

L4_21_The quadratic map

L4_22_On computer simulations

Last modified: Thursday, 30 April 2020, 10:48 AM
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