Zobrazeno 1 - 10
of 257
pro vyhledávání: '"José F. Cariñena"'
Autor:
José F. Cariñena
Publikováno v:
Symmetry, Vol 16, Iss 5, p 568 (2024)
A geometric approach to the integrability and reduction of dynamical systems, both when dealing with systems of differential equations and in classical physics, is developed from a modern perspective. The main ingredients of this analysis are infinit
Externí odkaz:
https://doaj.org/article/18f2cd34deb1446db4ddc2453903075d
Publikováno v:
Symmetry, Vol 15, Iss 1, p 181 (2023)
Geodesic vector fields and other distinguished vector fields on a Riemann manifold were used in the study of free motions on such a manifold, and we applied the geometric Hamilton–Jacobi theory for the search of geodesic vector fields from Hamilton
Externí odkaz:
https://doaj.org/article/28ac78ef13cb4c2fab2d54010b163aca
Autor:
José F. Cariñena, José Fernández-Núñez
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2520 (2022)
The two-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian for such systems is developed. The determination of such Lagrangians is based on the theory of the Jacobi multiplier for the system
Externí odkaz:
https://doaj.org/article/da45ebd5a5a54b92964ba7c7949c2abb
Autor:
José F. Cariñena, José Fernández-Núñez
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1413 (2021)
We review the general theory of the Jacobi last multipliers in geometric terms and then apply the theory to different problems in integrability and the inverse problem for one-dimensional mechanical systems. Within this unified framework, we derive t
Externí odkaz:
https://doaj.org/article/3e7174dd94d74ed594933fc8e5d57690
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 026 (2013)
A quasi-Lie scheme is a geometric structure that provides t-dependent changes of variables transforming members of an associated family of systems of first-order differential equations into members of the same family. In this note we introduce two qu
Externí odkaz:
https://doaj.org/article/faf800cae3c34ce0ae5c327585491aba
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 031 (2008)
We review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superposition rules, the Lewis-Ermakov invariants, etc., are found from this
Externí odkaz:
https://doaj.org/article/a363327c9d27470197fee8ff27883701
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 030 (2007)
Two super-integrable and super-separable classical systems which can be considered as deformations of the harmonic oscillator and the Smorodinsky-Winternitz in two dimensions are studied and identified with motions in spaces of constant curvature, th
Externí odkaz:
https://doaj.org/article/3282bbb9592a4324aea989f55ceee680
Publikováno v:
Reviews in Mathematical Physics.
We study a geometrical formulation of the nonlinear second-order Riccati equation (SORE) in terms of the projective vector field equation on [Formula: see text], which in turn is related to the stability algebra of Virasoro orbit. Using Darboux integ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b107167af0bd109d766df65310c19234
https://doi.org/10.1142/s0129055x23300042
https://doi.org/10.1142/s0129055x23300042
Publikováno v:
Physical Review D. 106
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b047379828e7d2057ab9576f1e1c42f5
https://doi.org/10.1103/physrevd.106.089901
https://doi.org/10.1103/physrevd.106.089901
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 54:365201
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::024fb1b0e56664a3b36f33ad5303b322
https://doi.org/10.1088/1751-8121/ac17a4
https://doi.org/10.1088/1751-8121/ac17a4