L6_01_Well-definedness

L6_02_Lifts (Known mistake: Topological equivalence, not conjugacy)

L6_03_Example 1: The rotation (Known mistake: F is a lift of R_\alpha, not f)

L6_04_Example 2: The standard map

L6_05_Standard map, continuation

L6_06_Standard map, remarks

L6_07_Lifts exist

L6_08_The formula for the lift

L6_09_Comments on orientation

L6_10_The conjugacy relation

L6_11_An integer difference

L6_12_The inverse is continuous

L6_13_Orientation, definition

L6_14_Example: Orientation reversing homeomorphisms

L6_15_The iterates of the lift

L6_16_A periodic function bounded in amplitude

L6_17_A consequence for the iterates

L6_18_The rotation number

L6_19_Independence of the variable

L6_20_Periodic points and existence, basic observations

L6_21_Periodic points and existence, the computation

L6_22_No periodic points, observations

L6_23_A Cauchy sequence

L6_24_The integer difference (Known mistake: prove assertion, not assumption)

L6_25_Rotation numbers, definition

L6_26_Back to the standard map

Last modified: Friday, 29 May 2020, 3:35 PM