7 citations · 24 across the 9 of their papers we have counts for
9 papers
Conformal and Contact Kinetic Dynamics and Their Geometrization
Oğul Esen, Ayten Gezici, Miroslav Grmela +3
We propose a conformal generalization of the reversible Vlasov equation of kinetic plasma dynamics, called conformal kinetic theory. In order to arrive at this formalism, we start…
-flows Generated by the Curl of a Vector Potential \& Maurer-Cartan Equations
Oğul Esen, Partha Guha, Hasan Gümral
We examine flows admitting vector identity for a multiplier and a potential field $\mathbf{…
Tulczyjew's Triplet for Lie Groups III : Higher Order Dynamics and Reductions for Iterated Bundles
Oğul Esen, Hasan Gümral, Serkan Sütlü
Given a Lie group , we elaborate the dynamics on and , which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space , which…
Reductions of Topologically Massive Gravity II: First Order Realizations of Second Order Lagrangians
Filiz Çağatay Uçgun, Oğul Esen, Hasan Gümral
Second order degenerate Clèment and Sarıoğlu-Tekin Lagrangians are casted into forms of various first order Lagrangians. Hamiltonian analysis of these equivalent formalisms are per…
Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians
Filiz Çağatay-Uçgun, Oğul Esen, Hasan Gümral
We study the Hamiltonian formalisms of the second order degenerate Clèment and Sarıoğlu-Tekin Lagrangians. The Dirac-Bergmann constraint algorithm is employed while arriving at the…
Superintegrable Cases of Four Dimensional Dynamical Systems
Oğul Esen, Anindya Ghose Choudhury, Partha Guha +1
Degenerate tri-Hamiltonian structures of Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaot…