K 1 / p2, ú10 refers to ``Příklady a cvičení z ODR''
see zde,
(Kapitola 1 / příklad 2, úloha 10 apod.)
Please keep the presentation to 10-15 minutes maximum.
When in doubts, do not hesitate to contact me.
============================================================ Exercise no.1 (Oct 14) topic: dynamical systems (pcODR / Kapitola 13) K 13 / ú1 ii,iii,iv -- stud/hw K 13 / ú3 demo: local analysis, non-exist per. sol. Theorem 15.2 (Bendixson-Dulac) + proof K 13 / ú4 demo ============================================================ Exercise no.2 (Oct 21) topic: dynamical systems K 13 / ú2 iii + ú6 ... M. Kossaczká K 13 / ú15 ... A. Doležalová demo: K 13 / ú14 (in R^2: periodic sol. => stat. point) exmp: Poinc-Bendix : Př. 1, ============================================================ Exercise no.3 (Nov 4) K 13 / ú10 ... M. Báthory note: (positively invariant sets, ex. of global solutions) ú16 (van der Pol) Bendix-Dulac: ú18, 19, 20 SIR model -- introduction ============================================================ Exercise no.4 (Nov 11) -- Jakub Slavík SIR model -- global stability of disease-free equil. K 13 / Kalman matrix, controllability, observability