Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Seri, Marcello"'
Autor:
Zadra, Federico, Seri, Marcello
In this paper, we explore the relationship between dynamical symmetries, Cartan symmetries, and dynamical similarities in contact mechanics. Using an alternative decomposition of vector fields, we provide a characterization of those symmetries and a
Externí odkaz:
http://arxiv.org/abs/2410.23490
On the largest scales the universe appears to be almost perfectly homogeneous and isotropic, adhering to the cosmological principle. On smaller scales inhomogeneities and anisotropies become increasingly prominent, reflecting the origin, emergence an
Externí odkaz:
http://arxiv.org/abs/2408.04938
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 through
Externí odkaz:
http://arxiv.org/abs/2406.02067
The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of relativistic two-body systems. The conservative part of the latter are given by Hamiltonian systems obtain
Externí odkaz:
http://arxiv.org/abs/2303.13291
Publikováno v:
Bollettino dell'Unione Matematica Italiana 16.2 (2023): 381-396
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:
http://arxiv.org/abs/2211.06880
Publikováno v:
Journal of Physics A (2023)
Leveraging techniques from the literature on geometric numerical integration, we propose a new general method to compute exact expressions for the BCH formula. In its utmost generality, the method consists in embedding the Lie algebra of interest int
Externí odkaz:
http://arxiv.org/abs/2210.11155
In this monograph we develop magnetic pseudodifferential theory for operator-valued and equivariant operator-valued functions and distributions from first principles. These have found plentiful applications in mathematical physics, including in rigor
Externí odkaz:
http://arxiv.org/abs/2210.05731
Autor:
Seri, Marcello <1984>
In this work we investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two and three dimensions, defining them in terms of generalized complex eigenvalues of a non-selfadjoint deformation of the two-center S
Externí odkaz:
http://amsdottorato.unibo.it/5075/
Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the variational and Hamiltonian versions of these methods. We illustrate some o
Externí odkaz:
http://arxiv.org/abs/2106.10657
Starting from a contact Hamiltonian description of Li\'enard 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 demonstrat
Externí odkaz:
http://arxiv.org/abs/2005.03951