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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

DC - Seismology, volcanology and Earth structure

OECD FORD branch

—

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2013

Confidentiality

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

Name of the periodical

Journal of Electromagnetic Waves and Applications

ISSN

0920-5071

e-ISSN

—

Volume of the periodical

27

Issue of the periodical within the volume

13

Country of publishing house

GB - UNITED KINGDOM

Number of pages

13

Pages from-to

1589-1601

UT code for WoS article

000322947700002

EID of the result in the Scopus database

—