Zobrazeno 1 - 10 of 32 pro vyhledávání: '"Marc Chaperon"'
2
Basic Aspects of Differential Geometry
Autor: Marc Chaperon
Publikováno v: Geometry in History ISBN: 9783030136086
This is a very partial description of differential geometry as elaborated by Elie Cartan and expressed in a suitable language by Charles Ehresmann.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3199faf106ec6920ec677962abf2184d
https://doi.org/10.1007/978-3-030-13609-3_15
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4
A forgotten theorem on Z k × R m -action germs and related questions
Autor: Marc Chaperon
Publikováno v: Regular and Chaotic Dynamics. 18:742-773
Two weakly hyperbolic smooth Zk × Rm-action germs are smoothly conjugate if and only if they are formally conjugate, and such.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3b07872cbf6bed7aa4adae0743e5f8b3
https://doi.org/10.1134/s1560354713060130
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5
Normalisation of the smooth focus–focus: a simple proof
Autor: Marc Chaperon
Publikováno v: Acta Mathematica Vietnamica. 38:3-9
We prove that the smooth focus–focus can be normalised. In Appendix B, Jiang Kai shows that the smooth “node–node” can not.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::870cf14fcf277678bfc1dc04317d08c1
https://doi.org/10.1007/s40306-012-0003-y
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6
Singularities in dynamics: A catastrophic viewpoint
Autor: Marc Chaperon
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 267:8-39
The article is about singularities of dynamical systems, a notion which is far from being as clear as for smooth maps. To give an idea of it, the beginning of “catastrophe theory” for dynamical systems (including very recent results) is developed
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8b331ffc76276bbaeca962159ee49095
https://doi.org/10.1134/s0081543809040026
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7
On the Cauchy-Kowalevski Theorem
Autor: Marc Chaperon
Publikováno v: L’Enseignement Mathématique. 55:359-371
We prove (an infinite dimensional version of) the Cauchy-Kowalevski theorem via the implicit function theorem, in the spirit of Joel Robbin’s celebrated proof of the existence theorem for differential equations. This paper provides an almost painle
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e477065e3ffe71ec4a5bc3624be8ba4e
https://doi.org/10.4171/lem/55-3-7
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9
Invariant manifold theory via generating maps
Autor: Marc Chaperon
Publikováno v: Comptes Rendus Mathematique. 346:1175-1180
We present a synthetic approach to invariant manifold theorems, based upon the notion of a generating map. To cite this article: M. Chaperon, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b4c9a6e90a46b7733a00314ff6695b0a
https://doi.org/10.1016/j.crma.2008.09.030
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10
Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics
Autor: Marc Chaperon, Santiago López de Medrano
Publikováno v: Comptes Rendus Mathematique. 346:1099-1102
All the compact intersections of quadrics known as moment-angle manifolds appear as attractors in generalized Hopf bifurcations. To cite this article: M. Chaperon, S. Lopez De Medrano, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f394f62b79ddc33d5d3314e3dcef3f1c
https://doi.org/10.1016/j.crma.2008.09.017
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