Dynamical Systems


Anders Elfverson  phoquslgen[at]gmail.com 
Nadejda Grochevaia  nadejda[at]student.chalmers.se 
Luzia Knödler  luzia.knoedler[at]web.de 
Dante Landa Vega  dante.vega.3[at]gmail.com 
Linn Lyster  lyster[at]student.chalmers.se 
Week 45  
Tuesday, Nov. 6  13:15 (HA2)  Lecture 1  Introduction (Chapter 1); Geometrical approach (Chapter 2) 
Thursday, Nov. 8  13:15 (SBH3)  Lecture 2  Analytical approach; Bifurcations (Chapters 2 and 3) 
Thursday, Nov. 8  15:15 (SBH3)  Mathematica tutorial (Use "save link as")  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 
Friday, Nov. 9  13:15 (HA2)  Lecture 3  Catastrophes (Chapter 3); Linear flows (Chapter 5) 
Friday, Nov. 9  This is a good time to start working on Problem set 1  
Week 46  
Tuesday, Nov. 13  13:15 (HA2)  Lecture 4  Phase plane (Chapter 6) [If you think StreamPlot[] is boring, you can play with a dynamical visualization of your flow] 
Thursday, Nov. 15  13:15 (SBH3)  Lecture 5  Closed orbits and Limit cycles (Chapters 6,7) 
Thursday, Nov. 15  15:15 (SBH3)  Problem session (Jan) (Use "save link as")  On problem set 1 
Friday, Nov. 16  13:15 (HA2)  Lecture 6  Index Theory (Chapter 6.8) 
Week 47  
Tuesday, Nov. 20  13:15 (HA2)  Lecture 7  Twodimensional bifurcations (Chapter 8) 
Tuesday, Nov. 20  This is a good time to start working on Problem set 2  
Thursday, Nov. 22  13:15 (SBH3)  Lecture 8  Relaxation oscillators, Twotiming (Chapter 7) 
Thursday, Nov. 22  15:15 (SBH3)  Problem session (Jan)  On problem set 2 
Friday, Nov. 23  13:15 (HA2)  Lecture 9  Damped driven pendulum. Chaotic billiards (Chapters 6.7, 8.5, 8.6). 
Week 48  
Monday, Nov. 26  23.59  Problem set 1 deadline (OBS: Moved 20181122).  
Tuesday, Nov. 27  13:15 (HA2)  Lecture 10  Chaos and Lyapunov exponents (Chapter 9) 
Thursday, Nov. 29  13:15 (SBH3)  Mathematica tutorial 2  
Friday, Nov. 30  13:15 (HA2)  Lecture 11  Strange attractors and Lyapunov dimension (Chapters 9, 12) 
Friday, Nov. 30  This is a good time to start working on Problem set 3  
Week 49  
Monday, Dec. 3  23.59  Problem set 2 deadline (OBS: Moved 20181122).  
Tuesday, Dec. 4  13:15 (HA2)  Lecture 12 (Bernhard)  Guest lecture: Bernhard Mehlig presents research on dynamical systems 
Thursday, Dec. 6  13:15 (SBH3)  Lecture 13  Fractals and fractal dimensions (Chapter 11) 
Thursday, Dec. 6  15:15 (SBH3)  Problem session (Jan)  On problem set 3 
Friday, Dec. 7  13:15 (HA2)  Lecture 14  Generalized fractal dimensions. Transition to chaos in dissipative systems 
Friday, Dec. 7  This is a good time to start working on Problem set 4  
Week 50  
Thursday, Dec. 13  13:15 (SBH3)  Lecture 15  Transition to chaos in Hamiltonian systems (lecture notes in DynSysLecture13.pdf) 
Thursday, Dec. 13  15:15 (SBH3)  Problem session (Jan)  On problem set 4 
Friday, Dec. 14  23.59  Problem set 3 deadline.  
Week 51  
Tuesday, Dec. 18  13:15 (HA2)  Lecture 16  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. 
Friday, Dec. 21  23.59  Problem set 4 deadline.  
Week 03  
Monday, Jan. 14  08:30  Written exam. You must sign up before Dec. 20  
Week 17  
Friday, Apr. 26  14:00  Written reexamination.  
Week 34  
Wednesday, Aug. 21  08:30  Written reexamination. 