Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Marian Gidea"'
Autor:
Maciej J. Capiński, Marian Gidea
Publikováno v:
Communications on Pure and Applied Mathematics. 76:616-681
We consider a class of autonomous Hamiltonian systems subject to small, time-periodic perturbations. When the perturbation parameter is set to zero, the energy of the system is preserved. This is no longer the case when the perturbation parameter is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa2a2cb39306dd6bbbd1799345a71af9
https://doi.org/10.1002/cpa.22014
https://doi.org/10.1002/cpa.22014
Publikováno v:
Celestial Mechanics and Dynamical Astronomy. 134
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffa6b714273969212f5aba585e738a48
https://doi.org/10.1007/s10569-021-10059-z
https://doi.org/10.1007/s10569-021-10059-z
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
We present a general mechanism to establish the existence of diffusing orbits in a large class of nearly integrable Hamiltonian systems. Our approach relies on successive applications of the `outer dynamics' along homoclinic orbits to a normally hype
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::702734abaf9d8b9c8c2f0c7f12ca0329
https://doi.org/10.1002/cpa.21856
https://doi.org/10.1002/cpa.21856
Publikováno v:
Astrophysics and Space Science. 366
We investigate the problem of determining the shape of a rotating celestial object - e.g., a comet or an asteroid - under its own gravitational field. More specifically, we consider an object symmetric with respect to one axis - such as a dumbbell -
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86a455a5610d04270d953797d886a7a8
https://doi.org/10.1007/s10509-021-03934-6
https://doi.org/10.1007/s10509-021-03934-6
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
We describe a recent method to show instability in Hamiltonian systems. The main hypothesis of the method is that some explicit transversality conditions – which can be verified in concrete systems by finite calculations – are satisfied. In parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd12204efc2a9afd5da8a239975af1f0
We consider a restricted four-body problem, with a precise hierarchy between the bodies: two larger bodies and a smaller one, all three of oblate shape, and a fourth, infinitesimal body, in the neighborhood of the smaller of the three bodies. The thr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5af318fdb3a8a800b73c1ca25cf545fb
http://hdl.handle.net/2108/264174
http://hdl.handle.net/2108/264174
Autor:
Yuri A. Katz, Marian Gidea
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 491:820-834
We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007–2009. Our methodology is based on topological data analysis (TDA). We use persistence homology to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2195e521cc6a7df1b2c0fca148ced884
https://doi.org/10.1016/j.physa.2017.09.028
https://doi.org/10.1016/j.physa.2017.09.028
We study the effect of time-dependent, non-conservative perturbations on the dynamics along homoclinic orbits to a normally hyperbolic invariant manifold. We assume that the unperturbed system is Hamiltonian, and the normally hyperbolic invariant man
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c98cb22abd9472a1040b5f4ae10bccc7
http://arxiv.org/abs/1909.02080
http://arxiv.org/abs/1909.02080
Publikováno v:
SSRN Electronic Journal.
We analyze four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the digital asset market crash at the beginning of 2018. We also analyze Bitcoin before some of the mini-crashes that occurred during the period 2016–2018. All
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6b7686dd20450df6d55dc69c02ca0bf
https://doi.org/10.2139/ssrn.3202721
https://doi.org/10.2139/ssrn.3202721
Autor:
Yitzchak Shmalo, Marian Gidea
We present a combinatorial approach to rigorously show the existence of fixed points, periodic orbits, and symbolic dynamics in discrete-time dynamical systems, as well as to find numerical approximations of such objects. Our approach relies on the m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ac012d0383268f196af4fa361c8011c
http://arxiv.org/abs/1706.08960
http://arxiv.org/abs/1706.08960