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National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Differential equation with super-linearities in mathematical modelling of processes in mechanics
 Maňáková, Lenka ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor)
This work is focused on the qualitative study and interpretation of a certain differential equation with superlinearities. In particular, a question of the existence of equilibrium points and the drawing of phase portraits is investigated using the theory of dynamic systems, more precisely using Hamilton systems. The properties and types of solutions are illustrated in phase portraits.
Detailed record
Periodic solutions to differential equations in modelling of motion of mechanical systems
 Koukalová, Kateřina ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor)
This thesis focuses on modelling the motion of mechanical systems using differential equations. The mechanical system is represented by a charged pendulum attracted by two charged particles. The thesis deals with the analysis of the differential equation describing the motion of the pendulum, in particular the singular points of the studied equation. We determine their number, type and stability. Based on the values of the parameters of the mechanical system, the singular points differ, phase portraits are drawn for each case.
Detailed record
Differential equation with super-linearities in mathematical modelling of processes in mechanics
 Maňáková, Lenka ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor)
This work is focused on the qualitative study and interpretation of a certain differential equation with superlinearities. In particular, a question of the existence of equilibrium points and the drawing of phase portraits is investigated using the theory of dynamic systems, more precisely using Hamilton systems. The properties and types of solutions are illustrated in phase portraits.
Detailed record

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