|
|
Transitional motion analysis of the optically trapped particle in under-damped regime
Sűsserová, Martina ; Damková, Jana (referee) ; Harabiš, Vratislav (advisor)
The bachelor thesis deals with the analysis of the movement of optically trapped nanoparticles at low pressures and familiarizes with methods commonly used in these conditions. The practical part of this work was done in Matlab, where the undesirable signal interference was filtered out from the original data and their influence on the phase portraits of the acquired transients was analyzed. Furthermore, the damped oscillator parameters are obtained from the records of average trajectories and the distribution of position data during the transient compared with distribution of position data at stationary state by histograms.
|
|
|
Self-excited oscillators in electronics
Grill, Jiří ; Dobis, Pavel (referee) ; Štrunc, Marian (advisor)
The aim of my bachelor´s project is to enter into characteristics self-excited oscillators, specifically focused on the Van der Pol oscillator. The Van der Pol oscillators produce oscillations which may be generated in nonlinear dynamic systems (autonomous or not). I also deal with periodical stationary states in the binary system, the derivation of the Van der Pol equation and analysis of its possible solution. The course of oscillations is monitored depending on its non-linearity, using computer simulation in programmes MatLab and C++ Builder 6 both for the homogenous equation (with zero right hand side term) and inhomogenous equation (with non-zero right hand side term). The latter refer to excited Van der Pol oscillator which exhibits also a chaotic regime.
|
|
|
Transitional motion analysis of the optically trapped particle in under-damped regime
Sűsserová, Martina ; Damková, Jana (referee) ; Harabiš, Vratislav (advisor)
The bachelor thesis deals with the analysis of the movement of optically trapped nanoparticles at low pressures and familiarizes with methods commonly used in these conditions. The practical part of this work was done in Matlab, where the undesirable signal interference was filtered out from the original data and their influence on the phase portraits of the acquired transients was analyzed. Furthermore, the damped oscillator parameters are obtained from the records of average trajectories and the distribution of position data during the transient compared with distribution of position data at stationary state by histograms.
|
|
|
Self-excited oscillators in electronics
Grill, Jiří ; Dobis, Pavel (referee) ; Štrunc, Marian (advisor)
The aim of my bachelor´s project is to enter into characteristics self-excited oscillators, specifically focused on the Van der Pol oscillator. The Van der Pol oscillators produce oscillations which may be generated in nonlinear dynamic systems (autonomous or not). I also deal with periodical stationary states in the binary system, the derivation of the Van der Pol equation and analysis of its possible solution. The course of oscillations is monitored depending on its non-linearity, using computer simulation in programmes MatLab and C++ Builder 6 both for the homogenous equation (with zero right hand side term) and inhomogenous equation (with non-zero right hand side term). The latter refer to excited Van der Pol oscillator which exhibits also a chaotic regime.
|
guest ::
