15 citations · 37 across the 18 of their papers we have counts for
10 papers · 1 filter
On Geometry of Dissipation in Multiscale Dynamics and Thermodynamics
Begüm Ateşli, Oğul Esen, Miroslav Grmela +1
This manuscript introduces novel approaches to three phenomena. First, we extend the algebraic formulation of kinetic theory within the contact framework by making explicit the gau…
[Locally Conformal Higher Order Lagrangian Dynamics
Serdar Çite, Oğul Esen
This work presents higher order Lagrangian dynamics possessing locally conformal character. More concretely, locally conformal higher order Euler-Lagrange equations are written wit…
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.
Matched Pair Analysis of Euler-Poincaré Flow on Hamiltonian Vector Fields
Oğul Esen, Cristina Sardón, Marcin Zajac
In this paper we provide a matched pair decomposition of the space of symmetric contravariant tensors . From this procedure two complementary Lie subalgebr…
On Geometrical Couplings of Dissipation and Curl Forces
Oğul Esen, Partha Guha, Hasan Gümral
In this paper, we present several geometric ways to incorporate gyroscopic and dissipative forces to curl forces. We first present a proper metriplectic geometry. Then, using the H…
On Extensions, Lie-Poisson Systems, and Dissipations
Oğul Esen, Gökhan Özcan, Serkan Sütlü
On the dual space of \textit{extended structure}, equations governing the collective motion of two mutually interacting Lie-Poisson systems are derived. By including a twisted 2-co…
Matched pair analysis of the Vlasov plasma
Oğul Esen, Serkan Sütlü
We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these…
Second Order Lagrangian Dynamics On Double Cross Product Groups
Oğul Esen, Mahmut Kudeyt, Serkan Sütlü
We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Base…
Matched pairs of discrete dynamical systems
Oğul Esen, Serkan Sütlü
Matched pairs of Lie groupoids and Lie algebroids are studied. Discrete Euler-Lagrange equations are written for the matched pairs of Lie groupoids. As such, a geometric framework…
Jets, Lifts and Dynamics
Oğul Esen, Hasan Gümral
We show that complete cotangent lifts of vector fields, their decomposition into vertical representative and holonomic part provide a geometrical framework underlying Eulerian equa…