Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two

Autor: Josep Maria Cors Iglesias, Esther Barrabés Vera, Claudio Vidal, Antonio Carlos Fernandes

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
© Qualitative Theory of Dynamical Systems, 2021, vol. 20, p. 63
Articles publicats (D-IMAE)
Barrabés, E. Cors, J.M. Fernandes, A.C. Vidal, C. 2021 Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two Qualitative Theory of Dynamical Systems 20 63
DUGiDocs – Universitat de Girona
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We study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. First, we prove that the two bo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9be63185cfb90a5a4316d8ac8646c395
https://hdl.handle.net/10256/197072117/355962

Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay

Autor: J. Solà-Morales, Xavier Cabré, Tobias Weth, Mouhamed Moustapha Fall

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We are concerned with hypersurfaces of ℝ N {\mathbb{R}^{N}} with constant nonlocal (or fractional) mean curvature. This is the equation associated to critical points of the fractional perimeter under a volume constraint. Our results are twofold. Fi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::112c09c6ee67036e39852ed9daefc453
https://hdl.handle.net/2117/129002

An Invitation to Singular Symplectic Geometry

Autor: Amadeu Delshams Valdés, Arnau Planas Bahí, Roisin Mary Dempsey Bradell, Eva Miranda Galcerán, Cedric Oms

Publikováno v: International Journal of Geometric Methods in Modern Physics
International Journal of Geometric Methods in Modern Physics, World Scientific Publishing, 2017
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this paper we analyze in detail a collection of motivating examples to consider $b^m$-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every $b^m$-symplectic structure. At the end

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8939cd524f2dca5f43365c4e1c5835af
https://hal.sorbonne-universite.fr/hal-02448243/document

Non-commutative integrable systems on $b$-symplectic manifolds

Autor: Eva Miranda, Anna Kiesenhofer

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this paper we study noncommutative integrable systems on b-Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering noncommutative systems on manifolds with boundary having the right asymptotics o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::255763a611e8b1fe75f9fefbb5cec6a3
http://arxiv.org/abs/1606.02605

Non-commutative integrable systems on b-symplectic manifolds

Autor: Miranda Galcerán, Eva, Kiesenhofer, Anna

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In this paper we study non-commutative integrable systems on b-Poisson manifolds. One important source of examples (and motiva- tion) of such systems comes from considering non-commutative systems on manifolds with boundary having the right asymptoti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a56a5fdca5f23a346ad25687918f834f
http://hdl.handle.net/2117/88884