Unit 1 - Introduction to Nonlinear Dynamics


Nonlinear Dynamics: Mathematical and Computational Approaches is an (excellent) online course offered by Complexity Explorer. Unit 1 provided a general introduction to nonlinear dynamics and maps covering the following topics:

  1. Introduction to nonlinear dynamics
  2. Maps and difference equations
  3. Transients and attractors
  4. Parameters and bifurcations
  5. Field trip: Boulder Creek

Maps and difference equations

Chapter 1.2 ended with a quiz about the logistic map.

\[ x_{n+1} = rx_n\left(1-x_n\right) \]

Compute n iterates of the logistic map

Preset 1: $n = 3; x_0 = 0.5; r = 2.5$

Preset 2: $n = 10; x_0 = 0.2; r = 2.6$


(to be continued…)