Relation between the propagator matrix of geodesic deviation and the second-order derivatives of the characteristic function

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10140175" target="_blank" >RIV/00216208:11320/13:10140175 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1080/09205071.2013.808595" target="_blank" >http://dx.doi.org/10.1080/09205071.2013.808595</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/09205071.2013.808595" target="_blank" >10.1080/09205071.2013.808595</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Relation between the propagator matrix of geodesic deviation and the second-order derivatives of the characteristic function

Popis výsledku v původním jazyce

In the Finsler geometry, which is a generalization of the Riemann geometry, the metric tensor also depends on the direction of propagation. The basics of the Finsler geometry were formulated by William Rowan Hamilton in 1832. Hamilton's formulation is based on the first-order partial differential Hamilton-Jacobi equations for the characteristic function which represents the distance between two points. The characteristic function and geodesics together with the geodesic deviation in the Finsler space can be calculated efficiently by Hamilton's method. The Hamiltonian equations of geodesic deviation are considerably simpler than the Riemannian or Finslerian equations of geodesic deviation. The linear ordinary differential equations of geodesic deviationmay serve to calculate geodesic deviations, amplitudes of waves and the second-order spatial derivatives of the characteristic function or action. The propagator matrix of geodesic deviation contains all the linearly independent solution

Název v anglickém jazyce

Relation between the propagator matrix of geodesic deviation and the second-order derivatives of the characteristic function

Popis výsledku anglicky

In the Finsler geometry, which is a generalization of the Riemann geometry, the metric tensor also depends on the direction of propagation. The basics of the Finsler geometry were formulated by William Rowan Hamilton in 1832. Hamilton's formulation is based on the first-order partial differential Hamilton-Jacobi equations for the characteristic function which represents the distance between two points. The characteristic function and geodesics together with the geodesic deviation in the Finsler space can be calculated efficiently by Hamilton's method. The Hamiltonian equations of geodesic deviation are considerably simpler than the Riemannian or Finslerian equations of geodesic deviation. The linear ordinary differential equations of geodesic deviationmay serve to calculate geodesic deviations, amplitudes of waves and the second-order spatial derivatives of the characteristic function or action. The propagator matrix of geodesic deviation contains all the linearly independent solution

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

DC - Seismologie, vulkanologie a struktura Země

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Electromagnetic Waves and Applications

ISSN

0920-5071

e-ISSN

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Svazek periodika

27

Číslo periodika v rámci svazku

13

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

1589-1601

Kód UT WoS článku

000322947700002

EID výsledku v databázi Scopus

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