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O integrabilnosti nelinearnih dinamičnih sistemov : magistrsko deloVuk, MartinV magistrskem delu predstavimo nekaj splošnih metod, s katerimi lahko obravnavamo integrabilnost dinamičnega sistema. Ogledali si, kako lahko za obravnavo integrabilnosti uporabimo orodja iz teorije ... Liejevih grup in Liejevih algeber, glavno pozornost pa posvetimo uporabi algebraične geometrije pri iskanju eksplicitnih rešitev integrabilnega sistema. Opišemo metodo reševanja integrabilnih sistemov, ki sloni na predstavitvi dinamičnega sistema z Laxovo enačbo in izdatno uporablja teorijo Riemannovih ploskev in theta funkcij. Na koncu uporabimo opisano teorijo na dveh klasičnih integrabilnih sistemih in sicer na sistemu togega telesa, podprtega v težišču, in na sistemu simetrične vrtavke.Type of material - master's thesisPublication and manufacture - Ljubljana : [M. Vuk], 2001Language - slovenianCOBISS.SI-ID - 10648153
Author
Vuk, Martin
Other authors
Vrabec, Jože |
Saksida, Pavle
Topics
integrabilni sistemi |
Laxova enačba |
Poissonove mnogoterosti |
koadjungirane orbite |
simplektični kvocient |
Jacobijeva varieteta |
algebraične krivulje |
Riemannove ploskve |
integrable systems |
Lax equation |
Poisson manifolds |
coadjoint orbits |
symplectic quotient |
Jacobian variety |
algebraic curves |
Riemann surfaces
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Vuk, Martin | 23987 |
Vrabec, Jože | 00724 |
Saksida, Pavle | 08728 |
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