2010/05/31 by Anne-Sophie Libert, Libert, Anne-Sophie, Charles Hubaux +3
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Computational Physics (physics.comp-ph) #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Magnetic confinement fusion research #Numerical methods for differential equations #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1005.5611
openalex publication_date 2010/05/31 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this work we propose a new numerical approach to distinguish between\nregular and chaotic orbits in Hamiltonian systems, based on the simultaneous\nintegration of both the orbit and the deviation vectors using a symplectic\nscheme, hereby called em global symplectic integrator. In particular, the\nproposed method allows us to recover the correct orbits character with very\nlarge integration time steps, small energy losses and short CPU times. To\nillustrate the numerical performances of the global symplectic integrator we\nwill apply it to two well-known and widely studied problems: the H 'enon-Heiles\nmodel and the restricted three-body problem.\n