15 citations · 25 across the 15 of their papers we have counts for
15 papers
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.
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…
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…
Bi-Hamiltonian Structure of Gradient Systems in Three Dimensions and Geometry of Potential Surfaces
Ender Abadoğlu, Hasan Gümral
Working bi-Hamiltonian structure and Jacobi identity in Frenet-Serret frame associated to a dynamical system, we proved that all dynamical systems in three dimensions possess two c…
Poisson Structures for Aristotelian Model of Three Body Motion
E. Abadoğlu, H. Gümral
We present explicitly Poisson structures, for both time-dependent and time-independent Hamiltonians, of a dynamical system with three degrees of freedom introduced and studied by C…
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…