Dynamical Systems


Louis Devers  devers[at]student.chalmers.se 
Henrik Gingsjö  hengin[at]student.chalmers.se 
Kristoffer Karlsson  krika[at]student.chalmers.se 
Tobias Karlsson  tobka[at]student.chalmers.se 
Holger Lindström  holgerl[at]student.chalmers.se 
Week 44  
Tuesday, Oct. 31  13:15 (HA2)  Lecture 1  Introduction (Chapter 1); Flows on the line (Chapter 2) [Concept test 1.1] 
Thursday, Nov. 2  13:15 (EE)  Lecture 2  Bifurcations and Catastrophes (Chapter 3) [Concept test 2.1] 
Thursday, Nov. 2  15:15 (EE)  Mathematica tutorial (Jan)  Please try to download and install Mathematica before the tutorial Bring your laptop (with mathematica installed) if you have one Instructions on how to download and install mathematica 
Week 45  
Tuesday, Nov. 7  13:15 (HA2)  Lecture 3  Linear flows (Chapter 5) [Concept test 3.1] 
Tuesday, Nov. 7  This is a good time to start working on Problem set 1  
Thursday, Nov. 9  13:15 (EE)  Lecture 4 (Updated 20171109 10.30)  Phase plane (Chapter 6) [If you think StreamPlot[] is boring, you can play with a dynamical visualization of your flow] 
Thursday, Nov. 9  15:15 (EE)  Problem session (Jan)  On problem set 1 
Friday, Nov. 10  13:15 (HA2)  Lecture 5  Closed orbits and Limit cycles (Chapters 6,7) [Concept test 5.1] 
Week 46  
Tuesday, Nov. 14  13:15 (HA2)  Lecture 6  Index Theory (Chapter 6.8) 
Tuesday, Nov. 14  This is a good time to start working on Problem set 2  
Thursday, Nov. 16  13:15 (SBH3)  Lecture 7  Twodimensional bifurcations (Chapter 8) [Strogatz: Video demonstrations of Hopf bifurcations] [Concept test 7.1] 
Thursday, Nov. 16  15:15 (SBH3)  Problem session (Jan)  On problem set 2 
Friday, Nov. 17  13:15 (HA2)  Lecture 8  Relaxation oscillators, Twotiming (Chapter 7) 
Week 47  
Monday, Nov. 20  23.59  Problem set 1 deadline.  
Thursday, Nov. 23  13:15 (EE)  Lecture 9 (Updated 20171124 09.30)  Damped driven pendulum. Chaotic billiards (Chapters 6.7, 8.5, 8.6). 
Thursday, Nov. 23  15:15 (EE)  Mathematica tutorial 2  
Friday, Nov. 24  13:15 (HA2)  Lecture 10  Chaos and Lyapunov exponents (Chapter 9) 
Friday, Nov. 24  This is a good time to start working on Problem set 3  
Week 48  
Monday, Nov. 27  23.59  Problem set 2 deadline.  
Tuesday, Nov. 28  13:15 (HA2)  Lecture 11  Strange attractors and Lyapunov dimension (Chapters 9, 12) One example (of many) of Lorenz attractor [Concept test 11.1] 
Thursday, Nov. 30  13:15 (EE)  Problem session (Jan)  On problem set 3 
Thursday, Nov. 30  15:15 (EE)  Lecture 12 (Bernhard)  Bernhard Mehlig presents research on dynamical systems 
Friday, Dec. 1  13:15 (HA2)  Lecture 13 (Updated 20171201 16:00)  Fractals and fractal dimensions (Chapter 11) [Concept test 12.1] 
Friday, Dec. 1  This is a good time to start working on Problem set 4  
Week 49  
Tuesday, Dec. 5  13:15 (EE)  Lecture 14  Transition to chaos in dissipative and in Hamiltonian systems 
Thursday, Dec. 7  13:15 (EE)  Lecture 15  Preparation for exam. I will go through the solutions to the test exam. If you have time, it would be good if you try the problems yourself before the lecture. 
Thursday, Dec. 7  15:15 (EE)  Problem session (Jan)  On problem set 4 
Friday, Dec. 8  12.00 (lunch)  Problem set 3 deadline.  
Week 50  
Friday, Dec. 15  12.00 (lunch)  Problem set 4 deadline if you want to be sure it is corrected before the written exam.  
Week 51  
Wednesday, Dec. 20  12.00 (lunch)  Problem set 4 final deadline.  
Week 02  
Monday, Jan. 8  08:30  Written exam. You must sign up before Dec. 20  
Week 14  
Friday, Apr. 6  14:00  Written reexamination.  
Week 34  
Wednesday, Aug. 22  08:30  Written reexamination. 