Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Marcello Seri"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-17 (2024)
Abstract Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related
Externí odkaz:
https://doaj.org/article/9e1f42df6a314907bad8e7b6cef4d2d8
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1960 (2021)
Starting from a contact Hamiltonian description of Liénard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on the paradigmatic example of the van der Pol oscillator, we demonstrate
Externí odkaz:
https://doaj.org/article/38be77b9e8b84a83a664f0a513f2f778
We show that the scattering of light in the field of $N\geq 3$ static extremal black holes is chaotic in the planar case. The relativistic dynamics of such extremal objects reduce to that of a classical Hamiltonian system. Certain values of the dilat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a434f83a2abe6c80a4e0d4767dff9fc9
http://arxiv.org/abs/2211.06880
http://arxiv.org/abs/2211.06880
Publikováno v:
Mathematics, 9(16):1960. MDPI AG
Mathematics
Volume 9
Issue 16
Mathematics, Vol 9, Iss 1960, p 1960 (2021)
Mathematics
Volume 9
Issue 16
Mathematics, Vol 9, Iss 1960, p 1960 (2021)
Starting from a contact Hamiltonian description of Liénard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on the paradigmatic example of the van der Pol oscillator, we demonstrate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49f918a43578934f371b6a89f8818ffa
https://doi.org/10.3390/math9161960
https://doi.org/10.3390/math9161960
Publikováno v:
Journal of Physics A: Mathematical and Theoretical, 55(44):445206. IOP PUBLISHING LTD
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle. First we show that the resulting discrete map is a contact transformation and that any contact map can be derived from a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0d91d800659e270c5cbf8ea9bd3fe01
https://hdl.handle.net/11370/5b1e8578-d34b-4462-a9fb-beae18d70ab8
https://hdl.handle.net/11370/5b1e8578-d34b-4462-a9fb-beae18d70ab8
Publikováno v:
Journal of Differential Geometry
Journal of Differential Geometry, International Press, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal of Differential Geometry, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal of differential geometry, 111(2), 339-279
J. Differential Geom. 111, no. 2 (2019), 339-379
Journal of Differential Geometry, International Press, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal of Differential Geometry, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal of differential geometry, 111(2), 339-279
J. Differential Geom. 111, no. 2 (2019), 339-379
In this paper we prove a sub-Riemannian version of the classical Santal\'o formula: a result in integral geometry that describes the intrinsic Liouville measure on the unit cotangent bundle in terms of the geodesic flow. Our construction works under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3e742901656c356a7427f9d995df3a8
https://hal.archives-ouvertes.fr/hal-01221668
https://hal.archives-ouvertes.fr/hal-01221668
Publikováno v:
Celestial Mechanics & Dynamical Astronomy, 132(1):7
Several dynamical systems of interest in celestial mechanics can be written in the form of a Newton equation with time-dependent damping, linear in the velocities. For instance, the modified Kepler problem, the spin-orbit model and the Lane-Emden equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f286f39c6be414bd82249ca4972404f
Autor:
Marcello Seri, Ta-Chu Kao
Publikováno v:
Journal of Open Source Software, 4(44):1812
Source code of [OwlDE](https://github.com/owlbarn/owl_ode), a suite of ordinary differential equation integrators for [Owl](https://github.com/owlbarn/owl), the OCaml scientific framework.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e758ac59d42b9d93c12c7aaaf5d45cef
https://doi.org/10.21105/joss.01812
https://doi.org/10.21105/joss.01812
Autor:
Michael Levitin, Marcello Seri
Publikováno v:
Operators and matrices, 10(1), 223-245. ELEMENT
For a particular family of long-range potentials $V$, we prove that the eigenvalues of the indefinite Sturm--Liouville operator $A = \mathrm{sign}(x)(-\Delta + V(x))$ accumulate to zero asymptotically along specific curves in the complex plane. Addit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d08237364ab41aa409e67ad9e45b62e1
https://hdl.handle.net/11370/4f56cc68-1048-4e02-9c50-74974dbd0f6d
https://hdl.handle.net/11370/4f56cc68-1048-4e02-9c50-74974dbd0f6d
Publikováno v:
Journal of Spectral Theory
Journal of Spectral Theory, European Mathematical Society, 2018, 8 (4), pp.1221-1280. ⟨10.4171/JST/226⟩
Journal of Spectral Theory, 2018, 8 (4), pp.1221-1280. ⟨10.4171/JST/226⟩
Journal of Spectral Theory, 8(4), 1221-1280. EUROPEAN MATHEMATICAL SOC
Journal of Spectral Theory, European Mathematical Society, 2018, 8 (4), pp.1221-1280. ⟨10.4171/JST/226⟩
Journal of Spectral Theory, 2018, 8 (4), pp.1221-1280. ⟨10.4171/JST/226⟩
Journal of Spectral Theory, 8(4), 1221-1280. EUROPEAN MATHEMATICAL SOC
We consider the quantum completeness problem, i.e. the problem of confining quantum particles, on a non-complete Riemannian manifold $M$ equipped with a smooth measure $\omega$, possibly degenerate or singular near the metric boundary of $M$, and in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75c1e3835ae5d0a56978f68ca0cdb1a2
https://hal.archives-ouvertes.fr/hal-01362030v2/document
https://hal.archives-ouvertes.fr/hal-01362030v2/document