Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Veronika Chrastinová"'
Autor:
Veronika Chrastinová, Václav Tryhuk
Publikováno v:
Mathematica Bohemica, Vol 143, Iss 4, Pp 431-439 (2018)
Some open problems appearing in the primary article on the symmetry reduction are solved. A new and quite simple coordinate-free definition of Poincaré-Cartan forms and the substance of divergence symmetries (quasisymmetries) are clarified. The unbe
Externí odkaz:
https://doaj.org/article/c934d0e2ee4e41a49619bac8ec80245d
Autor:
Václav Tryhuk, Veronika Chrastinová
Publikováno v:
Mathematica Bohemica, Vol 143, Iss 3, Pp 291-328 (2018)
The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagr
Externí odkaz:
https://doaj.org/article/c94babacc83640cfbccbc367d76a4788
Autor:
Václav Tryhuk, Veronika Chrastinová
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variabl
Externí odkaz:
https://doaj.org/article/6d8c742fe60b4c12833189a8fbcd4b29
Autor:
Veronika Chrastinová, Václav Tryhuk
Publikováno v:
Advances in Difference Equations, Vol 2010 (2010)
The paper deals with local symmetries of the infinite-order jet space of C∞-smooth n-dimensional submanifolds in ℝm+n. Transformations under consideration are the most general possible. They need not preserve the distinction between dependent, an
Externí odkaz:
https://doaj.org/article/33329986b6e949e9bd180fe7ffc02078
The geometrical theory of partial differential equations in the absolute sense, without any additional structures, is developed. In particular the symmetries need not preserve the hierarchy of independent and dependent variables. The order of derivat
Externí odkaz:
http://arxiv.org/abs/1403.0781
Autor:
Václav Tryhuk, Veronika Chrastinová
Publikováno v:
Annales Polonici Mathematici.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2415c4b18a19c2c3008bf423d579306b
https://doi.org/10.4064/ap220330-30-1
https://doi.org/10.4064/ap220330-30-1
Autor:
Veronika Chrastinová, Václav Tryhuk
Publikováno v:
Mathematica Slovaca. 70:1381-1412
Fundamental concepts for variational integrals evaluated on the solutions of a system of ordinary differential equations are revised. The variations, stationarity, extremals and especially the Poincaré-Cartan differential forms are relieved of all a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e7381abf2bf658cd9d99129e736c023
https://doi.org/10.1515/ms-2017-0439
https://doi.org/10.1515/ms-2017-0439
Autor:
Veronika Chrastinová
Publikováno v:
Advances in Analysis. 3:52-65
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f69957187627e941a015286c2a74673
https://doi.org/10.22606/aan.2018.31006
https://doi.org/10.22606/aan.2018.31006
Autor:
Veronika Chrastinová, Václav Tryhuk
Publikováno v:
Mathematica Bohemica, Vol 143, Iss 3, Pp 291-328 (2018)
The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89e7aabe9612f684b311b2726db8f7bb
https://doi.org/10.21136/mb.2017.0008-17
https://doi.org/10.21136/mb.2017.0008-17
Autor:
Veronika Chrastinová, Václav Tryhuk
Publikováno v:
Mathematica Slovaca. 66:1459-1474
The geometrical theory of partial differential equations in the absolute sense, without any additional structures, is developed. In particular the symmetries need not preserve the hierarchy of independent and dependent variables. The order of derivat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::feecac598a1fc94870253d34d1895291
https://doi.org/10.1515/ms-2016-0236
https://doi.org/10.1515/ms-2016-0236