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The non-integrability of the Zipoy-Voorhees metric
Georgios Lukes-Gerakopoulos
The low frequency gravitational wave detectors like eLISA/NGO will give us the opportunity to test whether the supermassive compact objects lying at the centers of galaxies are ind…
A Symmetric Integrator for non-integrable Hamiltonian Relativistic Systems
Jonathan Seyrich, Georgios Lukes-Gerakopoulos
By combining a standard symmetric, symplectic integrator with a new step size controller, we provide an integration scheme that is symmetric, reversible and conserves the values of…
Periodic Orbits and Escapes in Dynamical Systems
George Contopoulos, Mirella Harsoula, Georgios Lukes-Gerakopoulos
We study the periodic orbits and the escapes in two different dynamical systems, namely (1) a classical system of two coupled oscillators, and (2) the Manko-Novikov metric (1992) w…