Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-05-31
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
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 and the deviation vectors using a symplectic scheme, hereby called {\em global symplectic integrator}. In particular, the proposed method allows us to recover the correct orbits character with very large integration time steps, small energy losses and short CPU times. To illustrate the numerical performances of the global symplectic integrator we will apply it to two well-known and widely studied problems: the H\'enon-Heiles model and the restricted three-body problem.
Carletti Timoteo
Hubaux Charles
Libert Anne-Sophie
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