4 papers · 1 filter
Discrete Dynamics on Locally Conformal Framework
Oğul Esen, Ayten Gezici, Hasan Gümral
In this paper, we address the globalization problem of discrete Lagrangian and Hamiltonian dynamics in locally conformal framework.
Direct Poisson neural networks: Learning non-symplectic mechanical systems
Martin Šípka, Michal Pavelka, Oğul Esen +1
In this paper, we present neural networks learning mechanical systems that are both symplectic (for instance particle mechanics) and non-symplectic (for instance rotating rigid bod…
Hamiltonian Coupling of Electromagnetic Field and Matter
Oğul Esen, Michal Pavelka, Miroslav Grmela
Reversible part of evolution equations of physical systems is often generated by a Poisson bracket. We discuss geometric means of construction of Poisson brackets and their mutual…
Lie Algebra of Hamiltonian Vector Fields and the Poisson-Vlasov Equations
Oğul Esen, Hasan Gümral
We introduce natural differential geometric structures underlying the Poisson-Vlasov equations in momentum variables. We decompose the space of all vector fields over particle phas…