3 citations · 5 across the 3 of their papers we have counts for
5 papers
Characterization of symmetries of contact Hamiltonian systems
Federico Zadra, Marcello Seri
This paper explores the relationship between Cartan symmetries, dynamical similarities, and dynamical symmetries in contact Hamiltonian mechanics. By introducing an alternative dec…
The flow method for the Baker-Campbell-Hausdorff formula: exact results
Federico Zadra, Alessandro Bravetti, Angel Alejandro García-Chung +1
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 genera…
New directions for contact integrators
Alessandro Bravetti, Marcello Seri, Federico Zadra
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 varia…
Geometric numerical integration of Liénard systems via a contact Hamiltonian approach
Federico Zadra, Alessandro Bravetti, Marcello Seri
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 t…
Numerical integration in celestial mechanics: a case for contact geometry
Alessandro Bravetti, Marcello Seri, Mats Vermeeren +1
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, th…