115 citations · 709 across the 37 of their papers we have counts for
3 papers · 1 filter
Improved detection of chaos with Lagrangian descriptors using differential algebra
Alexandru Căliman, Jérôme Daquin, Anne-Sophie Libert
Lagrangian descriptors (LDs) based on the arc length of orbits previously demonstrated their utility in delineating structures governing the dynamics. Recently, a chaos indicator b…
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…