15 citations · 37 across the 18 of their papers we have counts for
8 papers · 1 filter
Couplings of -anchored Bundles
Begüm Ateşli, Oğul Esen, Serkan Sütlü
This work develops an algebraic framework for merging two -anchored bundles over the same base manifold, equipped with mutual actions and two twisted cocycle terms, so as to obt…
Constructions of -Lie algebroids
Begüm Ateşli, Oğul Esen, Serkan Sütlü
The paper investigates the construction of Lie algebroids and -Lie algebroids via connections generated by finite families of differential operators and dual sections. We first…
On Product Lie Algebroids, and Collective Motion
Begüm Ateşli, Oğul Esen, Serkan Sütlü
This work explores the geometrical/algebraic framework of Lie algebroids, with a specific focus on the decoupling and coupling phenomena within the bicocycle double cross product r…
Dynamics Over Homogeneous Spaces
Filiz Çağatay Uçgun, Oğul Esen, Serkan Sütlü
We present the Euler-Lagrange and Hamilton's equations for a system whose configuration space is a unified product Lie group , for some . By redu…
On Non-autonomous Hamiltonian Dynamics, Dual Spaces, and Kinetic Lifts
Begüm Ateşli, Oğul Esen, Manuel de León +1
Vlasov kinetic theory is the dynamics of a bunch of particles flowing according to symplectic Hamiltonian dynamics. More recently, this geometry has been extended to contact Hamilt…
On Time-dependent Hamiltonian Realizations of Planar and Nonplanar Systems
Oğul Esen, Partha Guha
In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems. In particular, we generalize the cosymplectic stru…
Reductions of Dynamics on Second Iterated Bundles of Lie Groups
Oğul Esen, Hasan Gümral
We consider trivializations of second iterated bundles of a Lie group that preserve lifted group structures. With such a trivialization, we elaborate Hamiltonian dynamics on cotang…
Tulczyjew's Triplet for Lie Groups II: Dynamics
Oğul Esen, Hasan Gümral
Taking configuration space as a Lie group, the trivialized Euler-Lagrange and Hamilton's equations are obtained and presented as Lagrangian submanifolds of the trivialized Tulczyje…