Nonlinear dynamics, chaos and complex systems
PHYS-460
Media
PHYS-460 Nonlinear dynamics_ chaos and complex systems
09, Lecture 9 - 12.11.2020
12.11.2020, 15:44
08, Lecture 8 - 05.11.2020
05.11.2020, 16:02
07, Lecture 7 - 29.10.2020
29.10.2020, 15:50
06, Lecture 6 - 22.10.2020
22.10.2020, 15:45
05, Lecture 5 - 15.10.2020
15.10.2020, 15:42
04, Lecture 4 - 8.10.2020
08.10.2020, 16:22
03, Lecture 3 - 01.10.2020
01.10.2020, 17:28
02, Lecture 2 - 24.09.2020
24.09.2020, 17:57
01, Lecture 1- 17.09.2020
17.09.2020, 18:12
14, Lecture 14 - 17.12.2020
17.12.2020, 16:08
13, Lecture 13 - 10.12.2020
10.12.2020, 15:55
12, Lecture 12 - 03.12.2020
03.12.2020, 16:09
11, Lecture 11 - 26.11.2020
26.11.2020, 15:42
10, Lecture 10/2 19.11.2020
19.11.2020, 16:01
10, Lecture 10/1 19.11.2020
19.11.2020, 15:55
Complex
systems consist of a large number of mutually interacting and strongly
interdependent elements that exhibit chaotic behaviour (extreme sensitivity to
initial conditions, fractal geometry, self-organized criticality),
multiple metastable states, and a non-gaussian distribution of outputs.
These elements make the long-term prediction of their behaviour impossible
in general, even though these systems are deterministic, meaning that
their future is fully determined by their initial conditions, with
no random elements involved.
The study of complex systems is an
emerging and very active area of research in physics, with applications
that include social systems, population modeling, biology, climate, meteorology, information theory, computational
neuroscience, etc. Thanks to the availability of powerful
computers, on-going research has brought many new insights in
their behavior.
The present course provides an introduction to the techniques to analyse non-linear and complex systems. The course is open to master students and PhD candidates.
News
- Recordings are accessible on the following YouTube links:
(part 1) https://youtu.be/E3Jg_aXJ_ew
(part 2) https://youtu.be/gRMQB6PNpjQ
(part 3) https://youtu.be/nck89w1PXkM
Course
Tuesday 10h15-13h00. Classes take place in room CE1106.
The recording of the lectures given by the previous
teacher of this class, Paolo Ricci, can be found at the following link:
https://mediaspace.epfl.ch/channel/PHYS-460+Nonlinear+dynamics_+chaos+and+complex+systems/30394
Please note, however, that the content of the lectures
given by Olivier Février can differ from these of Paolo Ricci. Only the
lectures by Olivier Février will serve as a reference for the exam.
Exercises
Tuesday 16h15-18h00. The exercise sessions take place in room INF 213.
The problem sets can be downloaded a few days before the session.
Printed copies are handed out at the beginning of the exercise
session for the students on campus. The solution is published on this page a few days after the session. Please note that there is no bonus based on the exercise sessions for the final exam.