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

Abstract

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.

8 pages, 4 figures, to appear in the proceedings of the international conference "Chaos, Complexity and Transport: Theory and Applications", Marseille, France. (Minor typographical errors corrected)

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