29 citations · 203 across the 30 of their papers we have counts for
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math-ph2015★ 29 cited
A hierarchy of Poisson brackets in non-equilibrium thermodynamics
Michal Pavelka, Vaclav Klika, Ogul Esen +1
Reversible evolution of macroscopic and mesoscopic systems can be conveniently constructed from two ingredients: an energy functional and a Poisson bracket. The goal of this paper…
math-ph2015
Lagrangian Dynamics on Matched Pairs
Oğul Esen, Serkan Sütlü
Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler-Lagr…
math-ph2015★ 13 cited
Bi-Hamiltonian Structures of Chaotic Dynamical Systems in 3D
Oğul Esen, Anindya Ghose Choudhury, Partha Guha
We study Poisson structures of dynamical systems with three degrees of freedom which are known for their chaotic properties, namely Lü, modified Lü, Chen, and Qi systems. We sh…