42 citations · 50 across the 4 of their papers we have counts for
4 papers
Symplectic integration of space debris motion considering several Earth's shadowing models
Ch. Hubaux, A. Lemaître, N. Delsate +1
In this work, we present a symplectic integration scheme to numerically compute space debris motion. Such an integrator is particularly suitable to obtain reliable trajectories of…
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
Jehan Boreux, Timoteo Carletti, Charles Hubaux
We propose a family of reliable symplectic integrators adapted to the Discrete Non-Linear Schrödinger equation; based on an idea of Yoshida (H. Yoshida, Construction of higher orde…
On the use of the MEGNO indicator with the Global Symplectic Integrator
Ch. Hubaux, A. -S. Libert, T. Carletti
To distinguish between regular and chaotic orbits in Hamiltonian systems, the Global Symplectic Integrator (GSI) has been introduced, based on the symplectic integration of both Ha…
Symplectic integration of deviation vectors and chaos determination. Application to the Hénon-Heiles model and to the restricted three-body problem
Anne-Sophie Libert, Charles Hubaux, Timoteo Carletti
In this work we propose a new numerical approach to distinguish between regular and chaotic orbits in Hamiltonian systems, based on the simultaneous integration of both the orbit a…