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  2. Lectures in Dynamical Systems
  3. Lectures
  4. L3

L3

L3_01_Topological transitivity

L3_02_Relation to dense orbits

L3_03_Sensitive dependence

L3_04_Example quadratic map

L3_05_Irrational translations

L3_06_Linear example

L3_07_Definition of chaos

L3_08_Known examples

L3_09_An interval can be chaotic

L3_10_Structural stability, motivation

L3_11_Distances between functions

L3_12_Structural stability, definition

L3_13_Preserved dynamics

L3_14_Fundamental domains

L3_15_Illustration of the construction

L3_16_The construction works

L3_17_An explicit example

L3_18_Related quantities

L3_19_Example illustration

L3_20_Hartman-Grobman's theorem

L3_21_Diffeomorphisms preserve derivatives

L3_22_The Cantor set is structurally stable

L3_23_Linearization in general

L3_24_The discrete case

L3_25_The differential equation case

Last modified: Friday, 24 April 2020, 4:14 PM
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