Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Chiara Caracciolo"'
Autor:
Chiara Caracciolo
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 6, Pp 1-40 (2022)
We give a proof of the convergence of an algorithm for the construction of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. The existence of such invariant tori is proved by leading the Hamiltonian to a suitable normal form.
Externí odkaz:
https://doaj.org/article/64febcabdc3b4624859ccd8cde448aac
Publikováno v:
Monthly Notices of the Royal Astronomical Society. 510:2147-2166
The υ Andromedæ system is the first extrasolar system where the mutual inclination between exoplanets has been determined using astrometric methods. We study a model of the υ Andromedæ planetary system considering the three-body problem formed by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f48d108b8cda3e1c7d98fa35b1a825ba
https://doi.org/10.1093/mnras/stab3514
https://doi.org/10.1093/mnras/stab3514
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031131141
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::137cf430ba2114c346eedf10af2fb943
https://doi.org/10.1007/978-3-031-13115-8_1
https://doi.org/10.1007/978-3-031-13115-8_1
Autor:
Chiara Caracciolo
We give a proof of the convergence of an algorithm for the construction of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. The existence of such invariant tori is proved by leading the Hamiltonian to a suitable normal form.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4408f2bb11ca6ab0f53d51a3798a8078
http://arxiv.org/abs/2110.09824
http://arxiv.org/abs/2110.09824
Publikováno v:
Proceedings of the International Astronomical Union. 15:65-84
We revisit the problem of the existence of KAM tori in extrasolar planetary systems. Specifically, we consider the υ Andromedæ system, by modelling it with a three-body problem. This preliminary study allows us to introduce a natural way to evaluat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40603473061693b37a5c4fc8ab044f39
https://doi.org/10.1017/s1743921322000461
https://doi.org/10.1017/s1743921322000461
Autor:
Ugo Locatelli, Chiara Caracciolo
We revisit an algorithm constructing elliptic tori, that was originally designed for applications to planetary hamiltonian systems. The scheme is adapted to properly work with models of chains of N + 1 particles interacting via anharmonic potentials,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df4ac00131162b51d8c0da4bc7d8d623
Autor:
Chiara Caracciolo, Ugo Locatelli
Birkhoff normal forms are commonly used in order to ensure the so called "effective stability" in the neighborhood of elliptic equilibrium points for Hamiltonian systems. From a theoretical point of view, this means that the eventual diffusion can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35afe49b24a2e7598796ae58a43a02fe
http://hdl.handle.net/2108/264515
http://hdl.handle.net/2108/264515