A generalization of Szebehely's inverse problem of dynamics in dimension three

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F17%3AA1801JL4" target="_blank" >RIV/61988987:17310/17:A1801JL4 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/S0034-4877(17)30049-6" target="_blank" >http://dx.doi.org/10.1016/S0034-4877(17)30049-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/S0034-4877(17)30049-6" target="_blank" >10.1016/S0034-4877(17)30049-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A generalization of Szebehely's inverse problem of dynamics in dimension three

Popis výsledku v původním jazyce

Extending a previous paper, we present a generalization in dimension 3 ofthe traditional Szebehely-type inverse problem. In that traditional setting, the dataare curves determined as the intersection of two families of surfaces, and the problemis to find a potential V such that the Lagrangian L = T-V , where T is the standardEuclidean kinetic energy function, generates integral curves which include the givenfamily of curves. Our more general way of posing the problem makes use of ideas ofthe inverse problem of the calculus of variations and essentially consists of allowingmore general kinetic energy functions, with a metric which is still constant, but neednot be the standard Euclidean one. In developing our generalization, we review andclarify different aspects of the existing literature on the problem and illustrate therelevance of the newly introduced additional freedom with many examples.

Název v anglickém jazyce

A generalization of Szebehely's inverse problem of dynamics in dimension three

Popis výsledku anglicky

Extending a previous paper, we present a generalization in dimension 3 ofthe traditional Szebehely-type inverse problem. In that traditional setting, the dataare curves determined as the intersection of two families of surfaces, and the problemis to find a potential V such that the Lagrangian L = T-V , where T is the standardEuclidean kinetic energy function, generates integral curves which include the givenfamily of curves. Our more general way of posing the problem makes use of ideas ofthe inverse problem of the calculus of variations and essentially consists of allowingmore general kinetic energy functions, with a metric which is still constant, but neednot be the standard Euclidean one. In developing our generalization, we review andclarify different aspects of the existing literature on the problem and illustrate therelevance of the newly introduced additional freedom with many examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA14-02476S" target="_blank" >GA14-02476S: Variace, geometrie a fyzika</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

REP MATH PHYS

ISSN

0034-4877

e-ISSN

—

Svazek periodika

79

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

23

Strana od-do

367-389

Kód UT WoS článku

000403126800006

EID výsledku v databázi Scopus

2-s2.0-85024867186