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