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start [2021/05/31 14:45] – [Exercise Sheets] jvstart [2024/04/21 18:43] (current) – jv
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-====== Nonlinear Dynamics      & Pattern Formation ======+======= Nonlinear Dynamics & Pattern Formation =======
  
 >  Wiki with Exercises, Notes, Hints, and a Feedback-Forum   >  Wiki with Exercises, Notes, Hints, and a Feedback-Forum  
->  Jürgen Vollmer, [[https://www.uni-leipzig.de/en|Uni Leipzig]], SoSe2021+>  Jürgen Vollmer, [[https://www.uni-leipzig.de/en|Uni Leipzig]], SoSe2024
  
  
 ==== Classes ====  ==== Classes ==== 
  
-^Time  ^Room                                                                        ^Access Code     ^ +^Time           ^Room      ^ 
-| Tue, 13–15 |[[https://lecture.uni-leipzig.de/b/vol-dbh-a06-wqp|BigBlueBotton Channel]]  | $\quad$ 439827  | +| Mon, 3:15 – 5 | ITP SR211 | 
-| Wed, 12–14 |[[https://lecture.uni-leipzig.de/b/vol-dbh-a06-wqp|BigBlueBotton Channel]]  | $\quad$ 439827  |+| Fri, 1:15 – 3 | Linnéstr Theory Lecture hall |
  
-Notes of Online Lectures are available [[notes:handwritten-notes|here]]+/* The introductory meeting was on 4 April 2024. */
  
-<wrap hide>[[time-slots|Voting for time slots]]</wrap> 
  
  
-==== Online seminars ====+==== Seminars ====
  
-^Time  ^Room                                                                        ^Access Code ^ +^Time  ^ Room ^ 
-| Mo, 15 –17 |[[https://lecture.uni-leipzig.de/b/vol-dbh-a06-wqp|BigBlueBotton Channel]]  | $\quad$ 439827  |+| Fri, 3 – 5 | Linnéstr Theory Lecture hall |
  
-Notes of Seminars are available [[notes:seminar-notes|here]]+<wrap hide> 
 +Notes of Seminars are available [[archive:sose2021:notes:seminar-notes|here]] 
 +</hide>
  
  
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-===== Exercise Sheets =====+===== Homework =====
  
-Each week there will be a set of problems. +Each week there will be a set of problems (see toolbar on the left). 
 For each problem there will be a discussion page, For each problem there will be a discussion page,
 and eventually we will discuss the solutions in the seminar. and eventually we will discuss the solutions in the seminar.
 On request I also offer suggestions for further study. On request I also offer suggestions for further study.
  
- 
-^**Set**^  **Date**^**Topic**                                                 ^**PDF**                                         ^ 
-|      1| 2021 04 13| [[sheet:solutions:ex01:qualitative-analysis| Qualitative Analysis]]|{{ sheet:problems:ex01:ex01_qualitative-analysis.pdf |220 kB}}| 
-|      2| 2021 04 20| [[sheet:solutions:ex02:basic-dyn-systems| Basics in Dynamical Systems]]|{{ :sheet:problems:ex02:ex02_basics-dynamical-systerms.pdf |82 kB}}| 
-|      3| 2021 04 27| [[sheet:solutions:ex03:1d-maps| 1D maps]]|{{ sheet:problems:ex03:ex03_1d-maps.pdf |90 kB}}| 
-|      4| 2021 05 04| [[sheet:solutions:ex04:symbolic_dynamics| Fractals and Symbolic Dynamics]]|{{ sheet:problems:ex04:ex04_symbolic-dynamics.pdf |106 kB}}| 
-|      5| 2021 05 11| [[sheet:solutions:ex05:1d-measures| 1D measures]]|{{ sheet:problems:ex05:ex05_1d-measures.pdf |85 kB}}| 
-|      6| 2021 05 18| [[sheet:solutions:ex06:from-1d-to-2d| From 1D to 2D maps]]|{{ :sheet:problems:ex06:ex06_from-1d-to-2d.pdf |85 kB}}| 
  
  
 ===== Sage Notebooks ===== ===== Sage Notebooks =====
  
-For selected problems I will set up a [[sage:mechanics-workshop|Sage playground]],  +For selected problems we will set up Jupyter notebooks,  
-where you can explore the solutions to a range of problems in theoretical mechanics +where you can explore the solutions  
-based on interactive Sage templates.+based on interactive Julia templates. 
 + 
 +<wrap hide> 
 +^**Set**^  **Date**^**Topic**                                                 ^**PDF**                                          
 +^ 
 +|      1| 2021 04 13| [[archive:sose2021:sheet:solutions:ex01:qualitative-analysis| Qualitative Analysis]]|{{ archive:sose2021:sheet:problems:ex01:ex01_qualitative-analysis.pdf |220 kB}}| 
 +|      2| 2021 04 20| [[archive:sose2021:sheet:solutions:ex02:basic-dyn-systems| Basics in Dynamical Systems]]|{{ archive:sose2021:sheet:problems:ex02:ex02_basics-dynamical-systerms.pdf |82 kB}}| 
 +|      3| 2021 04 27| [[archive:sose2021:sheet:solutions:ex03:1d-maps| 1D maps]]|{{ archive:sose2021:sheet:problems:ex03:ex03_1d-maps.pdf |90 kB}}| 
 +|      4| 2021 05 04| [[archive:sose2021:sheet:solutions:ex04:symbolic_dynamics| Fractals and Symbolic Dynamics]]|{{ archive:sose2021:sheet:problems:ex04:ex04_symbolic-dynamics.pdf |106 kB}}| 
 +|      5| 2021 05 11| [[archive:sose2021:sheet:solutions:ex05:1d-measures| 1D measures]]|{{ archive:sose2021:sheet:problems:ex05:ex05_1d-measures.pdf |85 kB}}| 
 +|      6| 2021 05 18| [[archive:sose2021:sheet:solutions:ex06:from-1d-to-2d| From 1D to 2D maps]]|{{ archive:sose2021:sheet:problems:ex06:ex06_from-1d-to-2d.pdf |79 kB}}| 
 +|      7| 2021 05 25| [[archive:sose2021:sheet:problems:ex07:2d-manifolds| 2D maps and their stable/unstable manifolds]]|{{ archive:sose2021:sheet:problems:ex07:ex07_2d-maps-manifolds.pdf |125 kB}}| 
 +|      8| 2021 06 02| [[archive:sose2021:sheet:solutions:ex08:maps-to-flows| From maps to flows]]| | 
 +</wrap> 
 + 
 +<wrap hide>
  
  
 ===== Participation ===== ===== Participation =====
  
 +<wrap hide>
   * [[ipsp:wiki-development|extension of the wiki]] and requests for help   * [[ipsp:wiki-development|extension of the wiki]] and requests for help
   * [[ipsp:wiki_and_other_computer_problems|tips and tricks]] concerning issues with university emails, moodle, almaweb, this wiki, etc   * [[ipsp:wiki_and_other_computer_problems|tips and tricks]] concerning issues with university emails, moodle, almaweb, this wiki, etc
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 Viable suggestions and solutions will be promoted from the discussion to Howtos in the main part of the pages.  Viable suggestions and solutions will be promoted from the discussion to Howtos in the main part of the pages. 
 Regular contributors will earn the right to directly edit the pages.  Regular contributors will earn the right to directly edit the pages. 
 +</wrap>
 +
 +
 +===== Seminar Topics and Talks =====
 +
 +<wrap hide>
 +  * **Frederik.** 
 +    - [[http://chaos.utexas.edu/wordpress/wp-content/uploads/2011/02/Obervation-of-a-Strange-Attractor.pdf|Chaos in the BZ reaction]]
 +    -  [[https://www.pnas.org/content/99/7/4748|Hamiltonian chaos in deep learning the rock–paper–scissors-game]]
 +
 +  * **Konstantin.** Turing mechanism and the Schnakenberg system  (maybe also chemical pattern formation?)
 +    * [[https://www-m6.ma.tum.de/~kuttler/script_reaktdiff.pdf| p. 88 ff]]
 +    * [[https://cbeentjes.github.io/files/Ramblings/PatternFormationSchnakenberg.pdf]]
 +
 +  * **Lenoard.** Bifurcation analysis for the Swift-Hohenberg-eq (1D).
 +    * base in code and plots: [[https://rveltz.github.io/BifurcationKit.jl/dev/Swift-Hohenberg1d/#Swift-Hohenberg-equation-1d-(Automatic)]]
 +    * + possibly extended version: [[https://rveltz.github.io/BifurcationKit.jl/dev/tutorials2b/#The-Swift-Hohenberg-equation-on-the-GPU-(non-local)-1]]
 +    * please also check out 
 +      * [[https://pydstool.github.io/PyDSTool/FrontPage.html|PyDSTool]]
 +      * [[https://iopscience.iop.org/book/978-1-64327-464-5/chapter/bk978-1-64327-464-5ch5|Marc R Roussel:Bifurcation analysis with AUTO]] 
 +
 +  * **Robert.** caustics
 +</wrap>
 +
 +
 +===== Exams =====
 +
 +We will take exams in the form of a symposium with talks on your small research projects. 
 +
 +<wrap hide>
 +   * on 10 August 2023
 +</wrap>
  
  
 +~~DISCUSSION|Feedback, Suggestions, and Requests~~