Universitatea Babeş-Bolyai

                          Facultatea de Matematică şi Informatică

 

                     Dynamical Systems / Sisteme dinamice   

  Spring / Primăvara 2026

 

 

Adriana Buică   (Lectures, seminars and labs)

Lorand Parajdi (seminars and labs)

Adrian Viorel (labs)

Paul Marin (labs)

 

 

 

 

 

The classes are organized according to the schedule  https://www.cs.ubbcluj.ro/files/orar/2025-2/tabelar/IE1.html

 

We will also use Microsoft Teams for announcements and to upload materials for the lectures, seminars and labs. The name of the main team is:

 

Dynamical Systems 2025/2026

 

and the access code is

 

z9n1ypy

 

 

 

 

Grading Policy

 

10 points:  One seminar test (in seminar 6)

  15 points: One lab test (in lab 7)

5 points: Active participation in each lab

60 points:  final (written) exam

 10 points: granted

 

 

                    Minimal requirements in order to participate to the final exam  (in either of  the two sessions)

It is compulsory to participate to at least 6 of the 7 Labs and at least to 5 of the 7 Seminars.                       

                     Normally, the student has to attend the Labs and Seminars as scheduled for his group.

                     In the case he missed one of such date he can go with another group.  We will not organize extra labs and seminars.

                    

 

                     Minimal requirements in order to pass the final exam

A.    To obtain at least 7 points at the lab test.

B.    To obtain at least 15 points at the final written exam.

C.    To obtain at least 50 points (from the total of 100).

 

                      From Regulamentul de organizare si functionare a Facultatii de matematica si informatica

                      http://www.cs.ubbcluj.ro/regulament-fmi/

 

“Frauda la examene se pedepseste cu exmatricularea. Copierea lucrarilor de laborator, proiectelor, lucrarilor de control, etc. este considerata frauda si se pedepseste ca atare.”

 

                    Any behavior considered a distraction to those around you, including the professor, will not be tolerated.

 

                      I recommend you to come and participate actively to the lectures, seminars and labs.

                      It is important to understand very well all the material, especially the one presented during the lectures.

 

                     

                          Bibliography (optional)

1.     S. Ahmad, A. Ambrosetti, Differential equations: a first course on ODE and a brief introduction to PDE, De Gruyter, 2019.

2.     K.T. Alligood, T.D. Sauer, J.A. Yorke, Chaos: an Introduction to Dynamical Systems, Springer, 1996.

3.     P. Blanchard, R.L. Devaney, G.R. Hall, Differential Equations, Brooks/Cole, Cengage Learning, 2012.

4.     R. J. Brown, A Modern Introduction to Dynamical Systems, Oxford University Press, 2018.

5.     S.E. Elaydi, Discrete Chaos: with applications in science and engineering, CRC Press, 2008.   DC

6.     J. Hale, H. Ko?ak, Dynamics and bifurcations, Springer, 1991.

7.     M.W. Hirsch, S. Smale, R.L. Devaney, Differential Equations, Dynamical Systems and an Introduction to Chaos,

Academic Press, 2004.  

8.     N. Lebovitz, Ordinary Differential Equations, http://people.cs.uchicago.edu/~lebovitz/odes.html

9.     David Morin, Oscillations and waves, https://scholar.harvard.edu/david-morin/waves

10.  M. Oberguggenberger, A. Ostermann, Analysis for Computer Scientists. Foundations, methods, and algorithms, Springer, 2011.