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arxiv: 0712.1720 · v2 · pith:CIV5XAUJnew · submitted 2007-12-11 · 🌊 nlin.CD

Application of the Generalized Alignment Index (GALI) method to the dynamics of multi--dimensional symplectic maps

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keywords galimapsalignmentdynamicsgeneralizedindexmethodmulti--dimensional
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We study the phase space dynamics of multi--dimensional symplectic maps, using the method of the Generalized Alignment Index (GALI). In particular, we investigate the behavior of the GALI for a system of N=3 coupled standard maps and show that it provides an efficient criterion for rapidly distinguishing between regular and chaotic motion.

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