Název: Periodická řešení neautonomní Duffingovy rovnice
Překlad názvu: Periodic solutions to nonautonmous Duffing equation
Autoři: Zamir, Qazi Hamid ; Řehák, Pavel (oponent) ; Šremr, Jiří (vedoucí práce)
Typ dokumentu: Diplomové práce
Rok: 2020
Jazyk: eng
Nakladatel: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Abstrakt: [eng] [cze]
Ordinary differential equations of various types appear in the mathematical modelling in mechanics. Differential equations obtained are usually rather complicated nonlinear equations. However, using suitable approximations of nonlinearities, one can derive simple equations that are either well known or can be studied analytically. An example of such "approximative" equation is the so-called Duffing equation. Hence, the question on the existence of a periodic solution to the Duffing equation is closely related to the existence of periodic vibrations of the corresponding nonlinear oscillator. Ordinary differential equations of various types appear in the mathematical modeling in mechanics. Differential equations obtained are usually rather complicated nonlinear equations. However, using suitable approximations of nonlinearities, one can derive simple equations that are either well known or can be studied analytically. An example of such "approximative" equation is the so-called Duffing equation. Hence, the question on the existence of a periodic solution to the Duffing equation is closely related to the existence of periodic vibrations of the corresponding nonlinear oscillator.
Klíčová slova: Differential equation; Duffing equation; existence; periodic solution; uniqueness.; Differential equation; Duffing equation; existence; periodic solution; uniqueness.

Instituce: Vysoké učení technické v Brně (web)
Informace o dostupnosti dokumentu: Plný text je dostupný v Digitální knihovně VUT.
Původní záznam: http://hdl.handle.net/11012/195542

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-579285


Záznam je zařazen do těchto sbírek:
Školství > Veřejné vysoké školy > Vysoké učení technické v Brně
Vysokoškolské kvalifikační práce > Diplomové práce