3 citations · 4 across the 4 of their papers we have counts for
4 papers
Global Compatibility of Bi-Hamiltonian Structures on Three Dimensional Manifolds
Beste Madran, Ender Abadoğlu
It is shown in \cite{yazar6} that a dynamical system defined by a nonvanishing vector field on an orientable three dimensional manifold is globally bi-Hamiltonian if and only if th…
Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
Melike Işim Efe, Ender Abadoğlu
In this work, we show that an autonomous dynamical system defined by a nonvanishing vector field on an orientable three-dimensional manifold is globally bi-Hamiltonian if and only…
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…