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

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

2007-12-11

arxiv.org/abs/0712.1720v2

Nonlinear Sciences

Chaotic Dynamics

8 pages, 4 figures, to appear in the proceedings of the international conference "Chaos, Complexity and Transport: Theory and

Scientific paper

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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