P.H. Trinh

MA30060 Dynamics and Chaos (2019-20')

We use this website to largely keep track of supplementary videos and problem-set solutions for the course. The rest of the material, which includes the complete set of lecture notes, can be found on the Moodle site.

Changes

  • 06 Jan 2020: New video on the Smale horseshoe
  • 02 Jan 2020: New video on 2D maps and the Baker map
  • 22 Dec 2019: New video on the proof of chaos in tent maps
  • 17 Dec 2019: New video on horseshoes
  • 10 Dec 2019: One new video.
  • 26 Nov 2019: One new video. Problem set solutions.
  • 9 Nov 2019: Added two videos
  • 2 Nov 2019: Added videos on Q9, Q10, problem set solutions

Supplementary videos

The complete playlist can be found here.

  • 6 Jan 2020. The Smale horseshoe map (YouTube)
  • 2 Jan 2020. On 2D maps and the Baker map (YouTube)
  • 22 Dec 2019. On tent maps and chaos (YouTube)
  • 17 Dec 2019. On horseshoes (YouTube)
  • 10 Dec 2019. On symbolic dynamics for the base-3 map (YouTube)
  • 26 Nov 2019. Semi-conjugacy between F and symbols (YouTube)
  • 9 Nov 2019. Determining the direction of bifurcation arms (YouTube)
  • 9 Nov 2019. P2 orbits for odd functions (YouTube)
  • 2 Nov 2019. Hints video on Chaps. 2-5 Q9 (YouTube)
  • 2 Nov 2019. Hints video on Chaps. 2-5 Q10 (YouTube)

Solutions

Chaps 2-5

Chaps 6-8

Chaps 10-12