15 citations · 37 across the 18 of their papers we have counts for
5 papers · 1 filter
Implicit Contact Dynamics and Hamilton-Jacobi Theory
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
In this paper we propose a Hamilton-Jacobi theory for implicit contact Hamiltonian systems in two different ways. One is the understanding of implicit contact Hamiltonian dynamics…
Contact Dynamics versus Legendrian and Lagrangian Submanifolds
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
We are proposing Tulczyjew's triple for contact dynamics. The most important ingredients of the triple, namely symplectic diffeomorphisms, special symplectic manifolds, and Morse f…
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…