Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Juan Manuel Sánchez-Cerritos"'
Publikováno v:
Analysis and Mathematical Physics. 12
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df2a49e0249ae8c7e4f59cdf666d3879
https://doi.org/10.1007/s13324-021-00631-z
https://doi.org/10.1007/s13324-021-00631-z
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 67:460-479
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84703b8443b8d9bef399a354d07b0af6
https://doi.org/10.1016/j.cnsns.2018.07.022
https://doi.org/10.1016/j.cnsns.2018.07.022
Publikováno v:
Journal of Mathematical Physics. 63:062705
In this paper, we consider the restricted four-body problem on S2 and the restricted three-body problem on H2. In the first case, the primary particles are considered to be rotating around the vertical axis. In the latter case, the primaries move at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce9efe9d53f9228851a778a477b5fb65
https://doi.org/10.1063/5.0065739
https://doi.org/10.1063/5.0065739
Publikováno v:
Canadian Journal of Mathematics. 70:426-450
We consider three point positivemasses moving onS2andH2. An Eulerian-relative equilibrium is a relative equilibrium where the three masses are on the same geodesic. In this paper we analyze the spectral stability of these kind of orbits where the mas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c48e9d9fe8ec6ebc88436d735098f94e
https://doi.org/10.4153/cjm-2017-002-7
https://doi.org/10.4153/cjm-2017-002-7
Publikováno v:
Astrophysics and Space Science. 364
We consider $(n+1)$ bodies moving under their mutual gravitational attraction in spaces with constant Gaussian curvature $\kappa$. In this system, $n$ primary bodies with equal masses form a relative equilibrium solution with a regular polygon config
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee852990f183cff09538e69a5c157a1e
https://doi.org/10.1007/s10509-019-3655-4
https://doi.org/10.1007/s10509-019-3655-4
Publikováno v:
Communications on Pure & Applied Analysis. 20:2941
We study the motion of the negative curved symmetric two and three center problem on the Poincaré upper semi plane model for a surface of constant negative curvature \begin{document}$ \kappa $\end{document}, which without loss of generality we assum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80ba8a3b0e4284c6aa316041c301ec71
https://doi.org/10.3934/cpaa.2021090
https://doi.org/10.3934/cpaa.2021090
Publikováno v:
Journal of Dynamics and Differential Equations. 30:209-225
We prove that the fixed points of the curved 3-body problem and their associated relative equilibria are Lyapunov stable if the solutions are restricted to $${\mathbb {S}}^1$$ , but unstable if the bodies are considered in $${\mathbb {S}}^2$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b1645a386124eb0f637b39fc3803767
https://doi.org/10.1007/s10884-016-9550-6
https://doi.org/10.1007/s10884-016-9550-6
Autor:
Juan Manuel Sánchez-Cerritos
Publikováno v:
Journal of Geometry and Physics. 157:103806
In this paper we perform a local regularization of singularities in the restricted ( n + 1 ) − body problem on a two-dimensional hyperbolic space using different coordinate and time transformations. The motion of the primary particles is known and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53b3b6fe891b4881d9235dcb61dfde51
https://doi.org/10.1016/j.geomphys.2020.103806
https://doi.org/10.1016/j.geomphys.2020.103806
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 82:104994
We consider the n–body problem defined on surfaces of constant positive curvature modelled by the united sphere S 2 . For the 5 and 7–body symmetrical problem where all particles are located on the same geodesic (collinear configuration), we anal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::958c1dd1fc9e7ee74bfc64ccc20198fb
https://doi.org/10.1016/j.cnsns.2019.104994
https://doi.org/10.1016/j.cnsns.2019.104994
Publikováno v:
Trends in Mathematics ISBN: 9783319221281
We consider three point particles of masses m1, m2, m3 moving on a two-dimensional surface of constant curvature k. It is well known that, locally, these surfaces are characterized by the sign of the curvature k. If k > 0, the surface is the two dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab0cfd1195bc396edfa272722c28ab39
https://doi.org/10.1007/978-3-319-22129-8_11
https://doi.org/10.1007/978-3-319-22129-8_11
