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Application of Newton's method to Lagrangian mappings

โœ Scribed by Hyung-tae Kook; James D. Meiss


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
560 KB
Volume
36
Category
Article
ISSN
0167-2789

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We apply the Smaller ALignment Index (SALI) method to a four-dimensional mapping of accelerator dynamics in order to distinguish rapidly, reliably and accurately between ordered and chaotic motion. The main advantage of this index is that it tends exponentially to zero in the case of chaotic orbits,