Symmetry preservation in Hamiltonian systems: Simulation and Learning
This work presents a general geometric framework for simulating and learning the dynamics
of Hamiltonian systems that are invariant under a Lie group of transformations. This means …
of Hamiltonian systems that are invariant under a Lie group of transformations. This means …
Numerical methods in Poisson geometry and their application to mechanics
O Cosserat, C Laurent-Gengoux… - … and Mechanics of …, 2024 - journals.sagepub.com
Numerical methods in Poisson geometry and their application to mechanics - Oscar Cosserat,
Camille Laurent-Gengoux, Vladimir Salnikov, 2024 Skip to main content Intended for …
Camille Laurent-Gengoux, Vladimir Salnikov, 2024 Skip to main content Intended for …
On Dirac structures admitting a variational approach
On Dirac structuresadmitting a variational approach Page 1 NISSUNA UMANA INVESTIGAZIONE
SI PUO DIMANDARE VERA SCIENZIA S’ESSA NON PASSA PER LE MATEMATICHE …
SI PUO DIMANDARE VERA SCIENZIA S’ESSA NON PASSA PER LE MATEMATICHE …
Theory and construction of structure preserving integrators in Poisson geometry
O Cosserat - 2023 - hal.science
We introduce for any Poisson structure π on a manifold M the notion of bi-realisation and
illustrate it by examples. We define Hamiltonian Poisson integrators as Poisson integrators …
illustrate it by examples. We define Hamiltonian Poisson integrators as Poisson integrators …
Learning port-Hamiltonian Systems—Algorithms
V Salnikov, A Falaize, D Lozienko - Computational Mathematics and …, 2023 - Springer
In this article we study the possibilities of recovering the structure of port-Hamiltonian
systems starting from “unlabelled” ordinary differential equations describing mechanical …
systems starting from “unlabelled” ordinary differential equations describing mechanical …
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
While the construction of symplectic integrators for Hamiltonian dynamics is well understood,
an analogous general theory for Poisson integrators is still lacking. The main challenge lies …
an analogous general theory for Poisson integrators is still lacking. The main challenge lies …
Port-Hamiltonian Systems: Structure Recognition and Applications
V Salnikov - Programming and Computer Software, 2024 - Springer
In this paper, we continue to consider the problem of recovering the port-Hamiltonian
structure for an arbitrary system of differential equations. We complement our previous study …
structure for an arbitrary system of differential equations. We complement our previous study …
Intégrateurs géométriques en géométrie de Poisson
On résume dans cette communication l'intérêt des intégrateurs géométriques dans le
contexte de la géométrie de Poisson et l'on propose une construction de schémas …
contexte de la géométrie de Poisson et l'on propose une construction de schémas …
Port-Hamiltonian system: structure recognition and applications
VN Salnikov - Programmirovanie, 2024 - journals.rcsi.science
In this paper, we continue to consider the problem of recovering the port-Hamiltonian
structure for an arbitrary system of differential equations. We complement our previous study …
structure for an arbitrary system of differential equations. We complement our previous study …
Обучение порт-гамильтоновым системам: алгоритмы
Д Лозиенко, В Сальников… - … vyčislitelʹnoj matematiki i …, 2023 - journals.rcsi.science
Изучаются возможности определения структуры порт-гамильтоновых систем,
соответствующих описывающим задачи механики системам обыкновенных …
соответствующих описывающим задачи механики системам обыкновенных …