Periodická řešení neautonomní Duffingovy rovnice

but.committeeprof. RNDr. Josef Šlapal, CSc. (předseda) prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda) doc. Ing. Luděk Nechvátal, Ph.D. (člen) doc. RNDr. Jiří Tomáš, Dr. (člen) prof. Mgr. Pavel Řehák, Ph.D. (člen) Prof. Bruno Rubino (člen) Assoc. Prof. Matteo Colangeli (člen) Assoc. Prof. Massimiliano Giuli (člen)cs
but.defenceStudent introduced his diploma thesis to the committee members and explained the fundaments of his topic called Periodic solutions to nonautonmous Duffing equation. He answered the opponent's question satisfactorily. Question from Matteo Colangeli was about the possible extension of this topic and it was answered too.cs
but.jazykangličtina (English)
but.programAplikované vědy v inženýrstvícs
but.resultpráce byla úspěšně obhájenacs
dc.contributor.advisorŠremr, Jiříen
dc.contributor.authorZamir, Qazi Hamiden
dc.contributor.refereeŘehák, Pavelen
dc.date.accessioned2020-10-29T10:07:45Z
dc.date.available2020-10-29T10:07:45Z
dc.date.created2020cs
dc.description.abstractOrdinary 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.en
dc.description.abstractOrdinary 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.cs
dc.description.markBcs
dc.identifier.citationZAMIR, Q. Periodická řešení neautonomní Duffingovy rovnice [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2020.cs
dc.identifier.other129745cs
dc.identifier.urihttp://hdl.handle.net/11012/195542
dc.language.isoencs
dc.publisherVysoké učení technické v Brně. Fakulta strojního inženýrstvícs
dc.rightsStandardní licenční smlouva - přístup k plnému textu bez omezenícs
dc.subjectDifferential equationen
dc.subjectDuffing equationen
dc.subjectperiodic solutionen
dc.subjectexistenceen
dc.subjectuniqueness.en
dc.subjectDifferential equationcs
dc.subjectDuffing equationcs
dc.subjectperiodic solutioncs
dc.subjectexistencecs
dc.subjectuniqueness.cs
dc.titlePeriodická řešení neautonomní Duffingovy rovniceen
dc.title.alternativePeriodic solutions to nonautonmous Duffing equationcs
dc.typeTextcs
dc.type.drivermasterThesisen
dc.type.evskpdiplomová prácecs
dcterms.dateAccepted2020-09-30cs
dcterms.modified2020-10-01-10:54:33cs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
sync.item.dbid129745en
sync.item.dbtypeZPen
sync.item.insts2021.11.10 13:14:12en
sync.item.modts2021.11.10 12:18:47en
thesis.disciplineMatematické inženýrstvícs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.levelInženýrskýcs
thesis.nameIng.cs
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