6 papers
Kepler dynamics on a conformable Poisson manifold
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji
The problem of Kepler dynamics on a conformable Poisson manifold is addressed. The Hamiltonian function is defined and the related Hamiltonian vector field governing the dynamics i…
Einstein field equation, recursion operators, Noether and master symmetries in conformable Poisson manifolds
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovic
We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulti…
Hamiltonian Dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovíc
We study the Hamiltonian dynamics of a spaceship in the background of Alcubierre and Gödel metrics. We derive the Hamiltonian vector fields governing the system evolution, construc…
Recursion operator in a noncommutative Minkowski phase space
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Ezinvi Baloitcha
A recursion operator for a geodesic flow, in a noncommutative (NC) phase space endowed with a Minkowski metric, is constructed and discussed in this work. A NC Hamiltonian function…
Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji
This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used…
Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures
Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovic
Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating and dynamical symmetry groups. The Hamiltonian vector field is…