29 citations · 203 across the 30 of their papers we have counts for
4 papers · 1 filter
On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems
Oğul Esen, Anindya Ghose Choudhury, Partha Guha
We apply the Darboux integrability method to determine first integrals and Hamiltonian formulations of three dimensional polynomial systems; namely the reduced three-wave interacti…
On Geometry of Schmidt Legendre Transformation
Oğul Esen, Partha Guha
A geometrization of Schmidt-Legendre transformation of the second order Lagrangians is proposed by building a proper Tulczyjew's triplet. The symplectic relation between Ostrograds…
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…
Hamiltonian dynamics on matched pairs
Oğul Esen, Serkan Sütlü
It is shown that the cotangent bundle of a matched pair Lie group is itself a matched pair Lie group. The trivialization of the cotangent bundle of a matched pair Lie group are pre…