National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Analýza Duffingova oscilátoru
Sosna, Petr ; Hadraba, Petr (referee) ; Rubeš, Ondřej (advisor)
This thesis analyses the simplest model of nonlinear oscillations, the Duffing oscillator. Methods of nonlinear dynamics are used for analysis of the Duffing equation which describes such oscillations. Numerical solution focuses on the dynamics of twin-well potencial oscillations. The effect of all the parameters of the Duffing equation on the system is shown. Coexisting periodic and chaotic attractors are discussed as well as possible bifurcations of the system. A bifurcation diagram for a specific system is created. The thesis concludes with simulation of basins of attraction for different values of excitation force and frequency.
Analýza Duffingova oscilátoru
Sosna, Petr ; Hadraba, Petr (referee) ; Rubeš, Ondřej (advisor)
This thesis analyses the simplest model of nonlinear oscillations, the Duffing oscillator. Methods of nonlinear dynamics are used for analysis of the Duffing equation which describes such oscillations. Numerical solution focuses on the dynamics of twin-well potencial oscillations. The effect of all the parameters of the Duffing equation on the system is shown. Coexisting periodic and chaotic attractors are discussed as well as possible bifurcations of the system. A bifurcation diagram for a specific system is created. The thesis concludes with simulation of basins of attraction for different values of excitation force and frequency.

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