====== MA30060 Dynamics and Chaos (2020-21') ======

~~NOTOC~~

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 [[https://moodle.bath.ac.uk/course/view.php?id=29836|Moodle site]].

{{ :ma30060:2019-11-05.png?nolink |}}

/*
===== 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 =====

[[https://www.youtube.com/playlist?list=PLILvrDLrWErzE7N9BmgT58HtJ1_HgUa5w|The complete playlist can be found here.]] 

  * 6 Jan 2020. The Smale horseshoe map [[https://youtu.be/Ykv1_z6jT3g|(YouTube)]]
  * 2 Jan 2020. On 2D maps and the Baker map [[https://youtu.be/Z0j6WCOGPfg|(YouTube)]]
  * 22 Dec 2019. On tent maps and chaos [[https://youtu.be/1xQtRuP2dyE|(YouTube)]]
  * 17 Dec 2019. On horseshoes [[https://youtu.be/5jogI8-_U64|(YouTube)]] 
  * 10 Dec 2019. On symbolic dynamics for the base-3 map [[https://youtu.be/cHED7CUBfcA|(YouTube)]]
  * 26 Nov 2019. Semi-conjugacy between F and symbols [[https://youtu.be/V_zEb1YPPn4|(YouTube)]]
  * 9 Nov 2019. Determining the direction of bifurcation arms [[https://youtu.be/gapluZV0Gjg|(YouTube)]]
  * 9 Nov 2019. P2 orbits for odd functions [[https://youtu.be/FxlLhC0sgC8|(YouTube)]]
  * 2 Nov 2019. Hints video on Chaps. 2-5 Q9 [[https://www.youtube.com/watch?v=8fYcoBQzRXU|(YouTube)]]
  * 2 Nov 2019. Hints video on Chaps. 2-5 Q10 [[https://www.youtube.com/watch?v=RCtgG-Xd46g|(YouTube)]]
===== Solutions =====

==== Chaps 2-5 ====
  * {{ ::ma30060:q01.pdf |}}
  * {{ ::ma30060:q02.pdf |}}
  * {{ ::ma30060:q03.pdf |}}
  * {{ ::ma30060:q04.pdf |}}
  * {{ ::ma30060:q05.pdf |}}
  * {{ ::ma30060:q06.pdf |}}
  * {{ ::ma30060:q07.pdf |}}
  * {{ ::ma30060:q08.pdf |}}
  * {{ ::ma30060:q09.pdf |}}
  * {{ ::ma30060:q10.pdf |}}

==== Chaps 6-8 ====
  * {{ ::ma30060:q68_01.pdf |}}
  * {{ ::ma30060:q68_02.pdf |}}
  * {{ ::ma30060:q68_03.pdf |}}
  * {{ ::ma30060:q68_04.pdf |}}
  * {{ ::ma30060:q68_05.pdf |}}
  * {{ ::ma30060:q68_06.pdf |}}

==== Chaps 10-12 ====
  * {{ ::ma30060:q1012_01.pdf |}}
  * {{ ::ma30060:q1012_02.pdf |}}
  * {{ ::ma30060:q1012_03.pdf |}}
  * {{ ::ma30060:q1012_04.pdf |}}

*/