Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Alain Chenciner"'
Autor:
Alain Chenciner
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 27, Iss 1, Pp 1-16 (2007)
Heron’s formula, maybe due to Archimedes, expresses the squared area of a triangle as a polynomial in the squared lengths of its sides. A true understanding of this formula comes from an adequate coding of the shape of a triangle, i.e. of the tria
Externí odkaz:
https://doaj.org/article/fb3d9519edd54c64900df013c3724126
Autor:
Alain Chenciner
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783031122439
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3587c0b2d5e3488b76bb78c991a95e2
https://doi.org/10.1007/978-3-031-12244-6_6
https://doi.org/10.1007/978-3-031-12244-6_6
Autor:
Alain Chenciner
Publikováno v:
Regular and Chaotic Dynamics. 22:677-687
Balanced configurations of N point masses are the configurations which, in a Euclidean space of high enough dimension, i. e., up to 2(N − 1), admit a relative equilibrium motion under the Newtonian (or similar) attraction. Central configurations ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e85454717e93f79390e67fcc68580d37
https://doi.org/10.1134/s1560354717060065
https://doi.org/10.1134/s1560354717060065
Autor:
Alain Chenciner
Publikováno v:
Geometry in History ISBN: 9783030136086
Geometry in History
Geometry in History, Springer International Publishing, pp.451-468, 2019, ⟨10.1007/978-3-030-13609-3_11⟩
Geometry in History
Geometry in History, Springer International Publishing, pp.451-468, 2019, ⟨10.1007/978-3-030-13609-3_11⟩
In generic two-parameter families of local diffeomorphisms of the plane unfolding a local diffeomorphism with an elliptic fixed point, the tension between radial (hyperbolic) and tangential (elliptic) behaviour gives rise to phenomena where the whole
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d73df7ac8bf240be6a92db19bcf96ec
https://doi.org/10.1007/978-3-030-13609-3_11
https://doi.org/10.1007/978-3-030-13609-3_11
Autor:
Alain Chenciner
Publikováno v:
Arnold Mathematical Journal. 2:213-248
The balanced configurations are those n-body configurations which admit a relative equilibrium motion in a Euclidean space E of high enough dimension 2p. They are characterized by the commutation of two symmetric endomorphisms of the $$(n-1)$$ -dimen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31e470e21793495d707bc34fd03ffcf2
https://doi.org/10.1007/s40598-016-0041-y
https://doi.org/10.1007/s40598-016-0041-y
Autor:
Alain Chenciner, Francois Laudenbach
Publikováno v:
Bulletin Brazilian Mathematical Society
Bulletin Brazilian Mathematical Society, 2009, 40 (4), pp.455-463
Bulletin Brazilian Mathematical Society, 2009, 40 (4), pp.455-463
International audience; A section in the 2-jet space of Morse functions is not always homotopic to a holonomic section. We give a necessary condition for being the case and we discuss the sufficiency.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9505cc74f97b80bf559577189e788ed1
https://doi.org/10.1007/s00574-009-0021-0
https://doi.org/10.1007/s00574-009-0021-0
Autor:
Alain Chenciner, Jacques Féjoz
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B. 10:421-438
From a normal form analysis near the Lagrange equilateral relative equilibrium, we deduce that, up to the action of similarities and time shifts, the only relative periodic solutions which bifurcate from this solution are the (planar) homographic fam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eb69596aceb2f9359a081a4adbd800f
https://doi.org/10.3934/dcdsb.2008.10.421
https://doi.org/10.3934/dcdsb.2008.10.421
Publikováno v:
Nonlinearity. 18:1407-1424
We show that three families of relative periodic solutions bifurcate out of the Eight solution of the equal-mass three-body problem: the planar Henon family, the spatial Marchal P12 family and a new spatial family. The Eight, considered as a spatial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08a0a3ee60c1a72c5e48a8b79cd65669
https://doi.org/10.1088/0951-7715/18/3/024
https://doi.org/10.1088/0951-7715/18/3/024
Autor:
Alain Chenciner
Publikováno v:
Celestial Mechanics. :71-90
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d422c66f343249ddf917b46fd4245a3
https://doi.org/10.1090/conm/292/04917
https://doi.org/10.1090/conm/292/04917
Autor:
Bernard Leclerc, Alain Chenciner
Publikováno v:
Regular and Chaotic Dynamics
Regular and Chaotic Dynamics, MAIK Nauka/Interperiodica, 2014, 19, pp.289-295. ⟨10.1134/S1560354714030022⟩
Regular and Chaotic Dynamics, 2014, 19, pp.289-295. ⟨10.1134/S1560354714030022⟩
Regular and Chaotic Dynamics, MAIK Nauka/Interperiodica, 2014, 19, pp.289-295. ⟨10.1134/S1560354714030022⟩
Regular and Chaotic Dynamics, 2014, 19, pp.289-295. ⟨10.1134/S1560354714030022⟩
In this short note, we draw attention to a relation between two Horn polytopes which is proved in [Chenciner-Jim\'enez P\'erez] as the result on the one side of a deep combinatorial result in [Fomin,Fulton, Li,Poon], on the other side of a simple com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a23db376656feb3da0937b8d4e3726f
https://hal.archives-ouvertes.fr/hal-01092950/file/1401.0664v1.pdf
https://hal.archives-ouvertes.fr/hal-01092950/file/1401.0664v1.pdf