Nonlinear accelerator lattices with one and two analytic invariants

Integrable systems appeared in physics long ago at the onset of classical dynamics with examples being Kepler’s and other famous problems. Unfortunately, the majority of nonlinear problems turned out to be nonintegrable. In accelerator terms, any 2D nonlinear nonintegrable mapping produces chaotic m...

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Bibliographic Details
Main Authors: V. Danilov, S. Nagaitsev
Format: Article
Language:English
Published: American Physical Society 2010-08-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.13.084002